Answers
Answer:
AB = 18 in.
BC = 22 in.
ED = 33 in.
Angle B = not possible
Angle C: not possible
Angle D = 39°
Angle E: not possible
Angle F: not possible
Step-by-step explanation:
Because it is given that ΔABC≅ΔDFE, we can find the corresponding sides and angles and then find all possible missing side and angle measures from the given diagram.
AB corresponds to DF (ΔABC ≅ ΔDFE)
Because DF = 18, then AB must equal 18.
BC corresponds to FE (ΔABC≅ΔDFE)
Because FE = 22, then BC must equal 22.
ED corresponds to CA (ΔABC≅ΔDFE)
Because CA = 33, then ED must equal 33.
Angle D corresponds to angle A (ΔABC≅ΔDFE)
Because angle A = 39°, then angle D must equal 39°.
All other angles cannot be found since they are not given on the corresponding angles of the triangles in the diagram.
I hope this helps you :)
Related Questions
A scientist has two acid solutions: Artesia, which is a $70\%$ acid solution, and Borromeo, which is a $20\%$ acid solution. (a) Find the amount of Artesia (in mL) that must be added to $500$ mL of Borromeo in order to produce a $60\%$ acid solution. (b) Find the amount of Artesia and Borromeo (in mL) that can be combined in order to form a $100$ mL solution that is $55\%$ acid. (c) Does there exist a combination of Artesia and Borromeo that is $80\%$ acid?
Answers
Answer:
(a) 2000 mL
(b) 70 mL, 30 mL
(c) No
Step-by-step explanation:
Given that Artesia is a 70% acid solution, and Borromeo is a 20% acid solution.
(a) Let x mL of Artesia is added to 500 mL of Borromeo to produce a 60% acid solution.
So, 70% of x + 20% of 500 = 60% of (x+500)
[tex]\Rightarrow 0.7 \times x + 0.2 \times 500 = 0.6 \times (x+500) \\\\\ \Rightarrow 0.7 \times x + 0.2 \times 500 = 0.6 \times x+0.6 \times500\\\\ \Rightarrow 0.7 \times x -0.6 \times x= 0.6 \times500- 0.2 \times 500 \\\\ \Rightarrow (0.7-0.6) \times x = (0.6-0.2) \times500\\\\\Rightarrow 0.1 \times x = 0.4 \times500\\\\[/tex]
[tex]\Rightarrow x = (0.4 \times500)/0.1=2000[/tex] mL.
(b) Let x mL of Artesia and y mL be combined in order to form a 100 mL solution having 55% acid solution.
So, x+y=100\Rightarrow y= 100-x
And, 70% of x + 20% of y = 55% of (100)\\\\
[tex]\Rightarrow 0.7 \times x + 0.2 \times (100-x) = 0.55 \times 100\\\\\Rightarrow 0.7 \times x + 0.2 \times 100- 0.2 \times x = 0.55 \times 100\\\\\Rightarrow 0.7 \times x -0.2 \times x= 0.55 \times100- 0.2 \times 100 \\\\\Rightarrow (0.7-0.2) \times x = (0.55-0.2) \times100\\\\\Rightarrow 0.5 \times x = 0.35 \times100\\\\[/tex]
[tex]\Rightarrow x = (0.35 \times100)/0.5=70[/tex] mL.
and y= 100-x= 100-70=30 mL.
(c) Let x mL of Artesia and y mL of Borromeo be combined in order to make 80% acid solution.
And, 70% of x + 20% of y = 80% of (x+y)
[tex]\Rightarrow 0.7 \times x + 0.2 \times y= 0.8 \times (x+y)\\\\\Rightarrow 0.7 \times x + 0.2 \times y = 0.8 \times x +0.8 \times y\\\\\Rightarrow (0.7-0.8) \times x = (0.8-0.2) \times y\\\\\Rightarrow -0.1 \times x = 0.6 \times y \\\\\Rightarrow \frac {x}{y} = -6 \\\\[/tex]
As x and y are amount of Artesia and Borromeo, so x>0 and y>0
[tex]\Rightarrow x/y >0[/tex], so the negative value of x/y is not possible.
Ad the negative value of x/y is not so x/y=-6 is not possible, hence, any combination of Artesia and Borromeo that is 80% acid solution is not possible.
Determine if the expression x2 + 1 is a
polynomial or not. If it is a polynomial,
state the type and degree of the
polynomimal.
Answers
Answer:
Yes it is,
Step-by-step explanation:
Degree 1 (Exp 1) and it has 2 elements (2X and 1)
Which of the following transformations has the same result as a rotation of 90º CW?
a. dilation of scale factor of 9
b. rotation of 270º CCW
c. reflection about a horizontal line
d. translation down and to the right
Answers
Answer:
B...i'm pretty sure that this Is the right one
Simplify this please (multi choice)
Answers
4 2/5= 4x5=20+2=22/5
what is the composition f•g if f(x)=4-2x and g(x)=3x^2
Answers
Answer: 4-6x^2
Step-by-step explanation:
f•g = f(g(x))
f(g(x)) = 4-2(3x^2) = 4-6x^2
Convert 147%, percent to a fraction in simplest form.
Answers
Answer:147/100
Step-by-step explanation:Convert the percentage to a fraction by placing the expression over
100
. Percentage means 'out of
100
1 47/100
That would be the answer uwu
Write a system of equations to describe the situation below, solve using substitution, and fill
in the blanks.
Mariana and Russell both went bowling last weekend, but not together. Mariana went during
open bowling time, paying $10 for shoe rental and $1 per hour. Russell went on family night,
when each hour was $2 and shoe rental was $3. As it turned out, they played for the same
number of hours and spent the same amount. How much did each one spend? How many
hours did each one bowl?
Mariana and Russell each spent $
and bowled for
hours.
Answers
Answer:
16
m=10 per hour=1
Step-by-step explanation:
Solve the equation 3x-4=8-x
Answers
Answer:
x=3
Step-by-step explanation:
3x-4=8-x(Group like terms)
3x+x=8+4(Add both sides)
4x=12(After adding you will proceed to divide both sides by 4)
x=3(x is 3 because 4 can divide 12 3 times that's why we have x as equal to 3)
Can someone fill in the blanks please ?? 30 points
Answers
Step-by-step explanation:
[tex]2,4,5[/tex]
Is your answerDoes this graph represent a function? khan academy
Answers
Answer:
yes
Step-by-step explanation:
its a graph
Answer:
No
Step-by-step explanation:
It isn't a positive linear association nor a negative linear association. If you were to connect those lines, it would not be a linear function of any kind of association.
The first four terms of a sequence are shown below:
18, 25, 32, 39, ...
What is the first term and the common difference?
Answers
Answer:
The first term would be 18 ig, and then the common differnce would be 7.
Step-by-step explanation:
The rule to the sequence is that they are adding by 7 every term.
Say you are filing as a single taxpayer. You have a gross income of $61,026 and claim two exemptions. You can make a deduction of $2,871 for interest on your mortgage, a deduction of $2,376 for property tax, an adjustment of $3,206 for business losses, an adjustment of $2,575 for contributions to your retirement plan, a deduction of $2,682 for medical expenses, and an adjustment of $2,440 for business expenses. If exemptions are each worth $3,650 and the standard deduction is $5,700, what is your total taxable income?
a.
$39,805
b.
$35,526
c.
$37,576
d.
$43,276
Answers
Answer:
C
Step-by-step explanation:
took test
Evaluate: f(x) = x + 7
a. f(5) =
b. f(-1) =
c. f(-3) =
Answers
Answer:
Step-by-step explanation:
a. f(5) = 5+7 = 12
b. f(-1) = -1+7 =6
c. f(-3) = -3+7 =4
b. -1+7=6
c. -3+7=4
In a theme park the roller coaster is six times more popular than the big swingboat. How would you write this as a ratio?
A) 1:6 B) 6:1 C) 6:6
Answers
Answer:
A - 1:6
Step-by-step explanation:
A 4-cup container of disinfectant costs $4.68. What is the price per pint?
$
Submit
Answers
A huge wave came along and sent four gold coins into the air. Which four numbers are greater than
−1
8
?
Negative StartFraction 2 Over 8 EndFraction, negative StartFraction 3 Over 8 EndFraction, negative StartFraction 4 Over 8 EndFraction, Negative StartFraction 5 Over 8 EndFraction
StartFraction 1 Over 8 EndFraction, StartFraction 2 Over 8 EndFraction, StartFraction 3 Over 8 EndFraction, one-half
Negative 1 and StartFraction 1 Over 8 EndFraction, negative 1 and three-fourths, negative 1 and one-half, negative 1
Negative one-fourth, negative three-fourths, negative StartFraction 4 Over 4 EndFraction, negative 1 and one-fourth
Answers
Answer:
B
Step-by-step explanation:
i got it right
Find the hypothesis for side a 16 side b 20
Answers
I think you mean to say "hypotenuse". If so, then use the pythagorean theorem to get the following
a^2 + b^2 = c^2
16^2 + 20^2 = c^2
256 + 400 = c^2
656 = c^2
c^2 = 656
c = sqrt(656)
c = sqrt(16*41)
c = sqrt(16)*sqrt(41)
c = 4*sqrt(41)
The hypotenuse is exactly 4*sqrt(41) units long
This is approximately 25.612 when you use your calculator.
Factor 3x^2 + 7x + 2
Answers
Answer:
(x+2)(3x+1) are the factors
Answer:
(3x+1)(x+2)
Step-by-step explanation:
I don't know how to explain it but that's what I got.
I hope it's right!
The manager of an art supply store decides to hold a Buy 2, Get 1 Free sale on tubes of watercolor paints. The sale is held for one week and a total of 280 tubes of paint were sold (not including the ones given away for free). If each tube of watercolor paint cost the store $7.25, how much money did the store lose by giving away the free tubes of paint?
Answers
Answer:
$1015
Step-by-step explanation:
280 divided by 2 140 times $7.25 is $1015
The amount of money that the store lose by giving away the free tubes of paint is $1015.
Since the manager held Buy 2, Get 1 Free sale on tubes of watercolor paints, then when 280 tubes of paints are sold, 1/2 × 280 = 140 tubes of paints will be given out for free.
Therefore, the amount lost will be calculated by multiplying the number of paints given out by the price. This will be:
= 140 × $7.25
= $1015
Therefore, the amount of money that the store lose by giving away the free tubes of paint is $1015.
Read related link on:
https://brainly.com/question/18874560
Will give brainliest if correct.
Answers
Answer:
The x-intercept is 4,0. The y-intercept is 0,2.
Step-by-step explanation:
when your finding an intercept you make the other intercept 0. This means the equation to find the x-intercept would look like 5x = 20. This is because they = 0, which means 10 x 0 is 0. Then you use the inverse operation so since it's 5 * x, it will be 20 ÷ 5 which is 4. Do the same thing with the y-intercept. Instead of changing the y to a 0, change the x. Using the inverse operation you get 2.
Have a nice day!
Y-intercept = (0,2)
To find the x intercept make y = 0
5x + 10(0) = 20
5x = 20
x = 4
So (4,0)
To find the y intercept make x = 0
5(0) + 10y = 20
10y = 20
y = 2
So (0,2)
Please help! I need to answer this last question, and it was due last night!! Will chose Brainliest!! Just find the missing measures!
Answers
1. What is -2y + 10 + 2y - 8 simplified?
Answers
Answer:
2
General Formulas and Concepts:
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define expression
-2y + 10 + 2y - 8
Step 2: Simplify
Combine like terms (y): 10 - 8Combine like terms (constants); 2Answer:
Step-by-step explanation:
-2y + 10 + 2y - 8 = 20 - 8 = 2
I'm not sure what to do about this problem, so please help me out.
Answers
Answer:
21
Step-by-step explanation:
Let the three consecutive integers be;
x , x + 1 and x + 2:
The sum of squares of the two smaller numbers:
The two smaller numbers are x and x+ 1
Sum of their squares:
x² + (x+1)²;
x² + x² + 2x + 1 = 2x² + 2x + 1
It is 45 more than the square of the larger number:
Larger number = x + 2
(x+2)² = x² + 4x + 4
45 more;
x² + 4x + 4 + 45 = x² + 4x + 49
Both are equal:
2x² + 2x + 1 = x² + 4x + 49
2x² - x² + 2x - 4x + 1 - 49 = 0
x² - 2x - 48 = 0
x² - 6x + 8x - 48 = 0
x(x - 6) + 8(x - 6) = 0
(x + 8)(x-6) = 0
x + 8 = 0 or x - 6 = 0
x = -8 or x = 6
We choose x = 6 because it makes the solution true as a positive integer
Sum of the three numbers:
x + x + 1 + x + 2 = 6 + 6 + 1 + 6 + 2 = 21
someone please help
Answers
Answer:A
Step-by-step explanation:
Answer:
Most likely A.
Step-by-step explanation: I'm guessing, but kinda makes sense because since there are 76 parking spaces, the probability will be decently low
Which set of statements shows the correct steps to find 45 percent of 75?
Write 45 percent as 9 ´ 5 percent, and write 5 percent as . Then, find of 75: . Multiply 3.75 by 9 to get 33.75. So, 45 percent of 75 is 33.75.
Write 45 percent as 9 ´ 5 percent, and write 5 percent as . Then, find of 75: . Multiply 33.75 by 9 to get 303.75. So, 45 percent of 75 is 303.75.
Write 45 percent as . Then, find of 75: . So, 45 percent of 75 is 1.67.
Write 45 percent as . Then, find of 75: . So, 45 percent of 75 is 16.7.
Answers
Answer:
Write 45 percent as 9 ´ 5 percent, and write 5 percent as . Then, find of 75: . Multiply 3.75 by 9 to get 33.75. So, 45 percent of 75 is 33.75
The value of 45 percent of 75 is 33.75 and this can be determined by using the unitary method and the given data.
Given :
Number --- 75
The following steps can be used in order to determine the 45 percent of 75:
Step 1 - The unitary method can be used in order to determine the 45 percent of 75.
Step 2 - According to the given data, the given number is 75 which is 100%.
Step 3 - So, if 100% is 75 then the value of 45% is:
[tex]=\dfrac{45}{100}\times 75[/tex]
Step 4 - Simplify the above expression.
= 33.75
Therefore, the correct option is A).
For more information, refer to the link given below:
https://brainly.com/question/5777130
Craig likes to collect records. Last year he had 10 records in his collection. Now he has 11 records. What is the percent increase of his collection?
Answers
Answer:
40%
Step-by-step explanation:
A charm bracelet costs $65, plus $25 for each charm, write an equation in standard form that represents the total cost y of a bracelet that has x charms please help!
Answers
Answer: , y = 65+25x
Step-by-step explanation:
Let x = Number of charms
Given : Fixed cost of bracelet = $65
On addition , cost per charm = $25
Total cost of bracelet = Fixed charge + (Charge per charm) x (number of charm)
If y= total cost.
Then, y = 65+25x , which is the required equation.
Here is the same number machine.
Input
Output
x 2
+ 3
17
Work out the input when the output is 17.
Answers
You do the number machine ‘in reverse’ to figure it out from output to input.
17 - 3 = 14
14 / 2 = 7
find 6 rational numbers between 8 and 9
Answers
Answer:
Step-by-step explanation:
8,1 8,2
8,3 8,4
8,5 8,6
Don bought 3/4 of a pound of jelly beans and ate 5/8 of the jelly beans before he got home. How much candy was left?
Answers
Answer:
CAN YOU MARK ME BRAINLIEST ??
The answer is 1/8 candy left!!
Step-by-step explanation:
3/4=6/8 because x2.
6/8-5/8= 1/8
Answer:
1/8 of the jelly beans
Step-by-step explanation:
You need to create a common denominator between the two fractions. Since both 4 and 8 go into 8, that will be the common denominator. To get 4 to 8, you have to multiply by 2, so to even it out you multiply the numerator by 2(3x2) which equals 6. Now the first fraction is 6/8 and the second is still 5/8. If he ate 5/8 of 6/8 jelly beans, you need to subtract. 6/8 minus 5/8 is 1/8