Mathematics High School

triangle BCD is similar to triangle ACE if these triangles are isosceles what is the length of AB?

Answers

Answer 1

Answer:

Step-by-step explanation:

As it is stated, the triangles are similar to find the length of AB we can use the proportion of sides'

Let x represent the missing length

BD/AE = CD/CE

(2.76)/22 = 5/x cross multiply expressions:

x(2.75) = 110 divide both sides by 2.75

x = 40

Related Questions

Determine the equation of the circle graphed below.
10
-10 -8 -6
-4
-2
8
6
4
N
N
+
69
O
2
6
8 10

Answers

Answer:

[tex]\implies x^2+y^2-4x -6y+9=0[/tex]

Step-by-step explanation:

Circle is touching y-axis at point (0, 3) and is centered at (2, 3)

-> h = 2, k = 3 & r = 2 units (If a circle touches y -axis then x coordinate of the center will be it's radius)

Equation of circle in standard form is given as:

[tex](x-h)^2 +(y-k)^2 =r^2[/tex]

Plugging the values of h, k and r in the above equation, we find:

[tex](x-2)^2 +(y-3)^2 =2^2[/tex]

[tex]\implies x^2-4x +4+y^2-6y+9=4[/tex]

[tex]\implies x^2+y^2-4x -6y+4+9=4[/tex]

[tex]\implies x^2+y^2-4x -6y+9=0[/tex]

This is the required equation of the circle.

original price $18 and percent of discount is 65% what is the sale price

Answers

Answer:

$6.3

Step-by-step explanation:

Original price = $18

Percentage Discount = 65%

Discount = 18*65% = 18*0.65 = $11.7

Sale Price = Original price - Discount

= $18 - $11.7

= $6.3

What is the answer elmo wants it

Answers

[tex]\bold{Heya!}[/tex]

→ Answer :-

[tex]\sf{= 10}[/tex]

→ EXPLANATION :-

Convert mixed numbers to imporved fractions: [tex]\sf{3 \frac{3}{4} = \frac{15}{4}[/tex]

[tex]\sf{= \frac{15}{4}[/tex] ÷ [tex]\sf{\frac{3}{8}[/tex]

Apply the fraction rule: [tex]\sf{\frac{a}{b}[/tex] ÷ [tex]\sf{\frac{c}{d} = \frac{a}{b} \: x \: \frac{d}c}[/tex]

[tex]\sf{= \frac{15}{4} \: x \: \frac{8}{3}[/tex]

Multiply fractions: [tex]\sf{\frac{a}{b} \: x \: \frac{c}{d} = \frac{a \: x \: c}{b \: x \: d}[/tex]

[tex]\sf{= \frac{15 \: x \: 8}{4 \: x \: 3}[/tex]

Multiply the numbers: [tex]\sf{ 4 \: x \: 3 = 12}[/tex]

[tex]\sf{= \frac{110}{12}[/tex]

Divide the numbers [tex]\sf{\frac{120}{12} = 10[/tex]

[tex]\sf{= 10}[/tex]

Hopefully This Helps! ~

#LearnWithBrainly

[tex]\underline{Answer :}[/tex]

Jaceysan ~

Round 15.209 to the nearest hundreth
A. 15.21
B. 15.20
C. 15.2
D. 16

Answers

Answer:

A.15.21

Step-by-step explanation:

In rounding of numbers when the next number is greater than 5 u round it on next number by adding one

If f(x) = 10x^3-37x^2+15x+18 and x-3 is a factor of f(x), then find all of the zeros of f(x) algebraiclly.

Answers

Answer:

x=6/5 and x=-(1/2)

Step-by-step explanation:

[tex]f(x) = 10x^3-37x^2+15x+18\\f(x) = \frac{(5x-6)(2x+1)(x-3)}{(x-3)}\\ f(x) = (5x-6)(2x+1)[/tex]

To find the zeros, we set f(x) = 0 for both factors

[tex]5x-6=0\\5x=6\\x=6/5[/tex]

[tex]2x+1=0\\2x=-1\\x=-1/2[/tex]

Therefore the zero's of f(x) are x = 6/5 and x= -(1/2)

What is the equation of the line parallel to the line with equation y=2/3x +1 and passing through the point (6,-2)?

Answers

Step-by-step explanation:

y= (-2/3) x-6 is parallel to y= (-2/3)x +4 goes through the point (3,-8)

can someone please help me with this question

Answers

Answer:

C. Students in language arts classes.

Step-by-step explanation:

Because out of all of the options, this one seems like it is the best time that they could get the students attention and get an acurate response.

Which of the following is the equation of the circle shown below?

Answers

Answer: A

Step-by-step explanation:

The radius of the circle is 7, and the center is at (6,-2), so if we substitute into the formula for the general equation of a circle, we get answer choice A.

What is the last step in constructing an angle?
Connect the endpoint and the mark at the angle measure.
Place the center of the protractor on the endpoint of the ray, and line up the ray with the zero line of the protractor
Draw a horizontal ray
Make a mark at the number of degrees you want the angle to be.

Answers

The last step to be carried out in a bid to construct an angle using a protractor is; Connect the endpoint and the mark at the angle measure.

How to construct an angle

In a bid to construct an angle by means of a protractor, it follows that a sequence of steps must be carried out. These steps are as ordered below;

Draw a horizontal rayPlace the center of the protractor on the endpoint of the ray, and line up the ray with the zero line of the protractorMake a mark at the number of degrees you want the angle to be.Connect the endpoint and the mark at the angle measure.

Answers

The statement that described the triangle properties is that the segment YZ and segment Y"Z" should be proportional when the dilation is done and it should be congruent when the translation should be done.

Given that,

There is the rule i.e. (x +1, y - 1) and it should be dilated by a scale factor of 4 centered at the origin.

Based on the above information,

The figure should be proportional as the angle and the points should be the same. And, when the translation is done the image should be congruent to the pre-image

Therefore we can conclude that option d is correct.

Learn more: https://brainly.com/question/25063346

Moesha needs $79 for a class trip.
She alreadv has s22 and she can earn
the rest by babysitting for 8 hours.
If h represents her hourly earnings,
which of the following equations can
be solved to find Moesha's hourly
earnings? Select all that apply. Answer : 79=22+8H

Answers

Answer:

79-22=57.

Your answer is correct. You also have to fill in the second one (B)

Answer:

79-22=57

Step-by-step explanation:

I can explain on phone

What is the equation of the blue line?

Answers

Answer:

y=2x+3

Step-by-step explanation:

Because the y-intercept starts at 3 and it goes up by 2 and to the side 1 so it would be y = 2x +3

Answer: y = 2x + 3

Step-by-step explanation:

We will write the equation in slope-intercept form.

y = mx + b

The slope can be found with "rise over run" since we have clear points on the graph.

Start at (0, 3), count up 2 units, and count one unit to the right. This gives us a slope of positive 2.

Rise / run = 2 / 1 = 2

The "b" value is where the line hits the y-axis. It hits the y-axis at y-coordinate 3, so our y-intercept is positive 3.

Final equation:

y = 2x + 3

i’m struggling and my brain won’t work right now help

Answers

Answer:

10sr2 or 14.1421356

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

if the triangle is an Isosceles triangle, then it's other two angles measure 45° each.

So, let's use Trigonometry here :

[tex]\qquad \sf \dashrightarrow \: \cos(45) = \dfrac{10}{x} [/tex]

[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{ \sqrt{2} } = \dfrac{10}{x} [/tex]

[tex]\qquad \sf \dashrightarrow \:x = 10 \sqrt{2} [/tex]

Therefore, the value of x is 10√2 units

How do I do these problems?

Answers

Answer:

12) x= 21

13) x = 1

14) x = 9

15) x = 1

Step-by-step explanation:

Here, we are being asked to solve the given equations and check our work.

To check the work, we need to substitute the found value of x into the equation to check if it makes a true and correct statement.

12) Solve for x:

[tex]\sf 12)\ \dfrac{2}{3}x + 2 = 16\ \textsf{[subtract 2 from both sides]}\\\\\implies \dfrac{2}{3}x + 2 - 2 = 16 - 2\\\\\implies \dfrac{2}{3}x = 14\ \textsf{[multiply both sides by 3]}\\\\\implies 3\left(\dfrac{2}{3}\right)x = 14(3)\\\\\implies 2x = 42\ \textsf{[divide both sides by 2]}\\\\\implies \dfrac{2x}{2}=\dfrac{42}{2}\\\\\implies \boxed{\sf x = 21}[/tex]

Check your work:

[tex]\sf \dfrac{2}{3}x + 2 = 16\ \textsf{[substitute 21 for the value of x]}\\\\\implies \dfrac{2}{3}(21) + 2 = 16\ \textsf{[multiply]}\\\\\implies \dfrac{42}{3} + 2 = 16\ \textsf{[divide]}\\\\\implies 14 + 2 = 16\ \textsf{[add]}\\\\\implies 16 = 16\ \checkmark \textsf{[true statement]}[/tex]

13) Solve for x:

[tex]\sf 13)\ \dfrac{x}{2} + \dfrac{x}{3} = \dfrac{5}{6}\ \textsf{[multiply both sides by 6 - LCM of 2, 3, and 6]}\\\\\implies 6\left(\dfrac{x}{2} + \dfrac{x}{3}\right) = 6\left(\dfrac{5}{6}\right)\ \textsf{[multiply]}\\\\\implies \left(\dfrac{6x}{2} + \dfrac{6x}{3}\right) = \dfrac{30}{6}\ \textsf{[divide]}\\\\\implies 3x+2x=5\ \textsf{[combine like terms]}\\\\\implies 5x = 5\ \textsf{[divide both sides by 5]}\\\\\implies \dfrac{5x}{5}=\dfrac{5}{5}\\\\\implies \boxed{\sf x = 1}[/tex]

Check your work:

[tex]\sf \dfrac{x}{2} + \dfrac{x}{3} = \dfrac{5}{6}\ \textsf{[substitute 1 for the value of x]}\\\\\implies \dfrac{1}{2} + \dfrac{1}{3} = \dfrac{5}{6}\ \textsf{[rewrite the fractions with a common denominator of 6]}\\\\\implies \dfrac{1\times3}{2\times3} + \dfrac{1\times2}{3\times2} = \dfrac{5}{6}\ \textsf{[multiply]}\\\\\implies \dfrac{3}{6} + \dfrac{2}{6} = \dfrac{5}{6}\ \textsf{[add]}\\\\\implies \dfrac{5}{6} = \dfrac{5}{6}\ \checkmark \ \textsf{[true statement]}[/tex]

14) Solve for x:

[tex]\sf 14)\ \dfrac{x-1}{6} - \dfrac{x+1}{8} = \dfrac{1}{12}\ \textsf{[multiply both sides by 24 - LCM of 6, 8, and 24]}\\\\\implies 24\left(\dfrac{x-1}{6} - \dfrac{x+1}{8}\right) = 24\left(\dfrac{1}{12}\right)\ \textsf{[multiply]}\\\\\implies \left(\dfrac{24x-24}{6}\right) - \left(\dfrac{24x+24}{8}\right) = \dfrac{24}{12}\ \textsf{[divide]}\\\\[/tex]

[tex]\sf\\\implies (4x-4)-(3x+3)=2\ \textsf{[distribute the negative sign]}\\\\\implies (4x-4)+(-3x-3)=2\ \textsf{[combine like terms]}\\\\\implies x - 7 = 2\ \textsf{[add 7 to both sides]}\\\\\implies x - 7 + 7 = 2 + 7\\\\\implies \boxed{\sf x = 9}[/tex]

Check your work:

[tex]\sf 14)\ \dfrac{x-1}{6} - \dfrac{x+1}{8} = \dfrac{1}{12}\ \textsf{[substitute 9 for the value of x]}\\\\\implies \dfrac{9-1}{6} - \dfrac{9+1}{8} = \dfrac{1}{12}\ \textsf{[simplify]}\\\\\implies \dfrac{8}{6} - \dfrac{10}{8} = \dfrac{1}{12}\ \textsf{[rewrite the fractions with a common denominator of 24]}\\\\\implies \dfrac{8\times4}{6\times4} - \dfrac{10\times3}{8\times3} = \dfrac{1\times2}{12\times2}\ \textsf{[simplify]}\\\\[/tex]

[tex]\sf\\\implies \dfrac{32}{24}-\dfrac{30}{24}=\dfrac{2}{24}\ \textsf{[subtract]}\\\\\implies \dfrac{2}{24}=\dfrac{2}{24}\ \textsf{[reduce]}\\\\\implies \dfrac{1}{12}=\dfrac{1}{12}\ \checkmark\ \textsf{[true statement]}[/tex]

15) Solve for x:

[tex]\sf \dfrac{1}{4}+\dfrac{x+1}{8}=\dfrac{1}{2}\ \textsf{[multiply both sides by 8 - LCM of 2, 4, and 8]}\\\\\implies 8\left(\dfrac{1}{4}+\dfrac{x+1}{8}\right)=8\left(\dfrac{1}{2}\right)\textsf{[multiply]}\\\\\implies \left(\dfrac{8}{4}+\dfrac{8x+8}{8}\right)=\dfrac{8}{2}\ \textsf{[divide]}\\\\\implies 2 + x + 1 = 4\ \textsf{[add]}\\\\\implies x + 3 = 4\ \textsf{[subtract 3 from both sides]}\\\\\implies x + 3 - 3 = 4 - 3\\\\\implies \boxed{\sf x = 1}[/tex]

Check your work:

[tex]\sf \dfrac{1}{4}+\dfrac{x+1}{8}=\dfrac{1}{2}\ \textsf{[substitute 1 for the value of x]}\\\\\implies \left(\dfrac{1}{4}+\dfrac{1+1}{8}\right)=\dfrac{1}{2}\ \textsf{[simplify]}\\\\\implies \left(\dfrac{1}{4}+\dfrac{2}{8}\right)=\dfrac{1}{2}\ \textsf{[reduce]}\\\\\implies \left(\dfrac{1}{4}+\dfrac{1}{4}\right)=\dfrac{1}{2}\ \textsf{[add]}\\\\\implies \dfrac{2}{4}=\dfrac{1}{2}\ \textsf{[reduce]}\\\\\implies \dfrac{1}{2}=\dfrac{1}{2}\ \checkmark\ \textsf{[true statement]}[/tex]

Find the value of x. 69 30.9 38.1

Answers

Answer:

x = 30.9

Step-by-step explanation:

[tex]x = \frac{1}{2} (138 - 76.2) = \frac{1}{2} (61.8) = 30.9[/tex]

Select all the expressions that describe the area of this rectangle.

Answers

Answer:

a, c, d

Step-by-step explanation:

This is because there share the same answer:

12x + 6

hope this helps =)

A cell phone company charges $20 for a customer to open a new account and $35for each month of phone service.

Write a linear function to represent the total cost,y,a new customer would pay for x months of service

Answers

y=20+35x because the 20 is a 1 time thing and 35x because 35 is charged each month

help its for calculus

Answers

Answer:

the first one

Step-by-step explanation:

Answer:

its 1/sqrt{5}+2

Examine the following piecewise function.

Which statements are true?
Select all that apply.

1.The function is increasing over the interval 2≤x≤3.

2.The function is increasing over the interval −2≤x≤2.

3.The function is increasing over the interval −8≤x≤−2.

4.The function is decreasing over the interval 3≤x≤7.

5.The function is constant over the interval −2≤x≤2.

Answers

A piecewise function is a function that's simply built from pieces of different functions over several intervals.

What is a piecewise function?

Your information is incomplete as the function isn't given. Therefore, an overview will be given. It should be noted that a piecewise function simply means a function that's defined by multiple sub functions.

In this case, each sub-function applies to different interval in the domain as it's way of expressing the function.

Learn more about piecewise function on:

https://brainly.com/question/17966003

One side of Dylan's
square bedroom is 10
feet long
What is the
total perimeter of
Dylan's bedroom?

Answers

Answer:

Step-by-step explanation:

10+10+10+10 = 40

A square has 4 sides which is why you add 10, 4 times.

Hussain and sam are sharing money in the ratio of 2:5 sam got 70p how much money were they sharing in total

Answers

Answer:

if 5=70

2=?

cross multiply=28

add 70+28=98

Step-by-step explanation:

PLEASE HELP ASAP!!
A savings account starts with $420. After 6 years of continuously compounding at an interest rate, r, the account has a balance of $1,300. What is the interest rate percentage (do not type % it is already there)? Round answer to the nearest hundredth.

Answers

Answer:

18.83% (nearest hundredth)

Step-by-step explanation:

Continuous Compounding Formula

[tex]\sf A=P(e)^{rt}[/tex]

where:

A = amountP = principal (initial amount)e = mathematical constant ≈ 2.7183r = interest rate (in decimal form)t = time in years

Given:

A = $1,300P = $420t = 6 years

Substituting given values into the formula:

[tex]\sf \implies 1300=420(e)^{6r}[/tex]

[tex]\sf \implies \dfrac{1300}{420}=e^{6r}[/tex]

[tex]\sf \implies e^{6r}=\dfrac{65}{21}[/tex]

Taking natural logs of both sides:

[tex]\sf \implies \ln e^{6r}=\ln \dfrac{65}{21}[/tex]

[tex]\sf \implies 6r\ln e=\ln \dfrac{65}{21}[/tex]

[tex]\sf \implies 6r(1)=\ln \dfrac{65}{21}[/tex]

[tex]\sf \implies 6r=\ln \dfrac{65}{21}[/tex]

[tex]\sf \implies r=\dfrac16 \ln \dfrac{65}{21}[/tex]

[tex]\sf \implies r=0.1883108054...[/tex]

Therefore, the interest rate is 18.83% (nearest hundredth)

if a=6, evaluate the following expression:
10+a/4

Answers

Answer:

11.5

Step-by-step explanation:

10 + a / 4 if a = 6

10 + 6 / 4

10 + 1.5

11.5

I hope this helps! Have a lovely day!! :)

Answer:

23/2 or 11.5

Step-by-step explanation:

Simplify 6/4 --> 3/2

Convert 10 into a fraction --> 20/2

20/2 + 3/2 = 23/2

If f(3) = 3^x and g(x) = 7^x then the graph of g(x) will be — the graph of f(x) when x<0.

Answers

Using the given exponential functions, it is found that the graph of g(x) will be less than than the graph of f(x) when x < 0.

What are the exponential functions?

The given exponential functions, f(x) and g(x), are respectively given by:

[tex]f(x) = 3^x[/tex][tex]g(x) = 7^x[/tex]

When x < 0, one possible value is x = -1, hence evaluating the functions at these values:

[tex]f(-1) = 3^{-1} = \frac{1}{3}[/tex]

[tex]g(-1) = 7^{-1} = \frac{1}{7}[/tex]

[tex]\frac{1}{3} > \frac{1}{7}[/tex], hence, the graph of g(x) will be less than than the graph of f(x) when x < 0.

More can be learned about exponential functions at https://brainly.com/question/25537936

What is the measure of the third angle in a triangle if the sum of the other two angle measures is 110°?

Answers

Step-by-step explanation:

the third angle in a triangle= 70

Describe the characteristics of this scatterplot.

Answers

The characteristics of this scatter plot

D⇢positive O⇢No outliersF⇢LinearS⇢Moderate

Hence ,this scatter plot has Moderately postive linear relationship without any outliner

At school, Akihiro draws a model of the flag of Japan in the coordinate plane.
What is the perimeter of the flag Akihiro draws?

Answers

The perimeter of the flag Akihiro draws is the sum of the flag's side lengths

The perimeter of the flag Akihiro draws is 20 units

How to determine the perimeter of the flag?

From the coordinate plane, the side lengths of the flag are:

6 units, 4 units, 6 units and 4 units

Add up the side lengths, to determine the perimeter (P)

P = 6 units + 4 units + 6 units + 4 units

Evaluate the sum

P = 20 units

Hence, the perimeter of the flag Akihiro draws is 20 units

Answers

Answer:

12.75

Step-by-step explanation:

12.75

Answer:

24 percent

Step-by-step explanation:

The radius of a circle is 11 miles. What is the circle's circumference?

Answers

Answer:

Step-by-step explanation:

The formula for a circumference with the radius is C=2πr=2·π·11≈69.11504mi.

A metal with a specific heat of 0.780 J/g oC requires 940 J of heat to raise the temperature (the change in temperature) by 15 oC. What is the mass of the metal?
SOMEONE HELP PLEASE GIVING BRIANLEST THANK YOU

Answers

Step-by-step explanation:

Q = msdt

or, 940 = m* 0.780* 15

or, 940 = 11.7m

or, 940/11.7 = m

m = 80.341

Therefore the mass of the metal is 80.341g.

Other Questions

What scale factor was used to dilate STUV to STUV?A. 0.20B. 0.50C. 0.25D. 0.75 match the genes with their linkage ability Photochemical smog is particularly harmful to all of the following, except:the elderly.middle-aged men.young children.people with lung or heart disease. this type of play involves humor and often confusion disguises and mistaken identity A $24.99 shin is on sale for 15% off. You have a coupon that will take an additional 10% off, after the first coupon. Your friend says. "Why don't they just take 25% off? It's the same amount!" She then adds. "Isn't it? How do you respond? Justify your answer. Do not round!also its due on Thursday April 14 how does enzyme concentration affect reaction rates? Hal is a police officer who believes that all elderly people are bad drivers. He issues tickets to a lot of elderly drivers. The way that Hal unfairly targets and punishes elderly drivers is best described as Area of composite shapesThe following shape has 1 pair ofparallel sides.7278*---3What is the area of the shape?CIunits? What is the value of x?Enter your answer in the box.units Please explain someone!!! HELPPPPPPPP rotate figure jklm 180 degrees around the origin brainly Since 8th grade is the top grade in middle school, should 8th graders get special privileges? Write in detail about 2 special privileges they should get? If you think they should not get special privileges, please explain why. SophieSophie is 25 and has been married for two years. She tells her mother that she isgrowing apart from her husband. He works long hours and they don't do anythingtogether. Sophie feels she should go back to school - at least she had fun there.As her mother, you respond by saying:A. You're angry with him and you feel cheated because you think he's keeping youfrom having fun. It seems like you really miss that.B. Your husband is working hard to pay the bills; he's probably just too tired to doanything else.C. You've been married for only two years; maybe things will get better after awhile moooooooooooooooooooooooooooooooooooooooooooooooooooooo a fan rotate with a speed of 450rev/min after switch off it comes to rest in 10 second assuming constant angular acceleration ,calculate the number of revolution made by it before coming to rest Which of the following represent lengths of the sides of a right triangle?Use the formula:a^2 + b^2= c^2 ello mate, i need help with this here question can you help a girl out and if ya do ill give you brainlist :D What historical event resulted in many lost jobs for musicians, as aristocrats could no longer afford to maintain private opera houses, orchestras, an why do you think a budget would be important? What were the direct causes of the american revolution? choose three answers. colonists rights were restricted. colonists were not represented in parliament. colonists didnt want england ruling from far away. colonists were frustrated with high taxation. colonists had a negative reaction to the boston tea party.