Mathematics High School

Examine the figure below.
B
(4x-16)
6756
(5x+7)
с
A
D
Determine which of the following angle measures are correct. Select all that apply.
OmZBAC = 72°
O
m2BCD = 68°
Om ACB = 112°
m2ABC = 68°
mzBCD=108°

Answers

Answer 1

*see attachment for diagram

Answer:

✔️m<BAC = 72°

✔️m<BCD = 108°

Step-by-step explanation:

Given:

m<ABC = (4x - 16)°

m<ACB = (5x + 7)°

Find the numerical value of m<ABC, m<ACB, m<BAC, and m<BCD.

First we need to determine the value of x.

The ∆ given is an isosceles triangle with two equal sides, therefore, the angles opposite the two equal sides would also be equal.

Therefore:

(4x - 16)° + 2(5x + 7)° = 180° (sum of ∆)

Solve for x

4x - 16 + 10x + 14 = 180

Add like terms

14x - 2 = 180

Add 2 to both sides

14x = 182

Divide both sides by 14

x = 13

Find the measure of each angle by plugging in the value of x where necessary:

✔️m<ABC = (4x - 16)° = 4(13) - 16

m<ABC = 36°

✔️m<ACB = (5x + 7)° = 5(13) + 7

m<ACB = 72°

✔️m<BAC = m<ACB (both are base angles of the isosceles ∆, so they are equal)

Therefore,

m<BAC = 72°

✔️m<BCD = m<ABC + m<ACB (exterior angle theorem of a triangle)

m<BCD = 36 + 72 (Substitution)

m<BCD = 108°

Therefore, the angle measures that are correct are:

✔️m<BAC = 72°

✔️m<BCD = 108°

Examine The Figure Below.B(4x-16)6756(5x+7)ADDetermine Which Of The Following Angle Measures Are Correct.

Related Questions

Please help out :) struggling

Answers

Answer:

82

Step-by-step explanation:

evaluate means to find the numerical value of the expression

substitute x=9 and y= -2 in the expression 10-4xy

10 -4*9*(-2) = 10+( -4 )(-2)*9= 10+8*9 =82

charles has 24 marbles. he has 6 more yellow marbles then blue marbles. which equation represents this senctence

Answers

Sksisjjsjskakalalaljdjdh

Answer: n+(n+6)=24,where n is the number of blue marbles. 3. n+6n=24,where n is the number of blue marbles.

Step-by-step explanation:

There are 25 trees on the Jackson’s property. Twenty percent of the trees are oak trees. Which equation can be used to find the number of oak trees on the property?

Answers

Answer:

See below

Step-by-step explanation:

Number of oak trees

[tex] = \frac{25}{100} \times 25 \\ [/tex]

Please help me with this question I’ll give brainliest for whoever is right

Answers

Answer:

5,-4, 2,-4

Step-by-step explanation:

this is the correct answer luv

It is a vertical line on 2 of the X axis

-7 - 2 ..........................................................
..

Answers

Answer:

-9 is the answer

Step-by-step explanation:

hope it helps!

Evaluate the following:

14) 49-4( 32+116 ) 15) 72+72



16) 3278 +25

Answers

Answer:

14) -123

15) 144

16) 3303

Step-by-step explanation:

I have a question this is the picture ​

Answers

Answer:

The answer is D

Step-by-step explanation:

If you plug them into Desmos, they'll line up

Annabelle has $600 in a savings account that earns 2% simple interest for 6 years. Caroline has $400 in a savings account that earns 3% simple interest for 6 years. Whose account will have more money in it after the 6 years? How much more money will they have in their account?

Answers

Answer:

Step-by-step explanation:

Using the formula for calculating Amount;

Amount = Principal + Interest

Interest = Principal * Rate * time/100

For Annabelle:

Interest = 600*2*6/100

Interest = 6*2*6

Interest = $72

Amount after 6 years = $600 + $72 = $672

For Caroline:

Interest = 400*3*6/100

Interest = 4*3*6

Interest = $72

Amount after 6years = $400+$72 = $472

Hence Annabelle account will have more in it after 6 years.

Taking the difference in their amount = $672-$472 = $200

Hence Annabelle will have $200 more than Caroline in her account after 6 years

Your friend offers to pay you $10 plus $2 per day if you will watch his dog while he’s on vacation. Another friend offers you $15 plus $1 per day to watch her dog during the same time. You cannot do both jobs. Tell which job you would choose and explain why.

Answers

Answer:

the first one

Step-by-step explanation:

you get lower down payment but higher fee payment

Answer:

their correct

Step-by-step explanation:

y = 2x²- 5x + 2
determine the x value for the vertex and whether this value is a maximum or a minimum
a. maximum at x = -1.25
b. maximum at x = 1.25
c. minimum at x = -1.25
d. minimum at x = 1.25

Answers

Answer: D

Explanation:

Use the vertex formula, -b/2a. Because the quadratic formula is ax^2+bx+c, -b would be 5 in this case and a would be 2 in this case. Plug the numbers in and you get 5/4. The AOS or vertex would be 5/4 or 1.25. Because the a-value is a positive in this equation, the parabola would have a minimum.  

a bag contains 10 red marbles, the ratio of red marbles to blue marbles is 5 to 1 find the numbers of blue marbles in the bag

Answers

Answer:

The Answer is 2 blue marbles.

Step-by-step explanation:

The numbers of blue marbles in the bag will be 2.

What is proportion ?

A proportion is an equation based on the equality of two ratios.

Here it is given that :

a bag contains = 10 red marbles

the ratio of red marbles to blue marbles is = 5:1

That is :

5 ratio of marbles is equals to = 10 marbles

now,

1 ratio of marbles is equals to = 2 marbles

Therefore, the numbers of blue marbles in the bag will be 2.

Read more about ratio at:

https://brainly.com/question/17869111

#SPJ2

solve pls will give brainliest

Answers

Its 24

I think all you have to do is just add 16 plus 8 to that question

what’s 6/7 - 1/2? also how do i subtract fractions with unlike denominators? you don’t have to answer the 2nd question

Answers

Make this same denominator
6/7 * 2/2 = 12/14
1/2 * 7/7 = 7/14
Now subtract
12/14 - 7/14 = 5/14

6/7 - 1/2 equals 5/14.

Subtract the fractions: Now that the fractions have the same denominator, you can subtract them by subtracting the numerators while keeping the common denominator. In this case, subtracting 7/14 from 12/14 gives you 5/14.

To subtract fractions with unlike denominators, you need to find a common denominator for both fractions. The common denominator is the least common multiple (LCM) of the denominators. Once you have the common denominator, you can subtract the fractions by following these steps:

Find the LCM of the denominators: In this case, the denominators are 7 and 2. The LCM of 7 and 2 is 14.

Rewrite the fractions with the common denominator: To rewrite 6/7 and 1/2 with a common denominator of 14, you need to multiply both the numerator and denominator of each fraction by a suitable factor. For 6/7, you would multiply both numerator and denominator by 2 to get 12/14. For 1/2, you would multiply both numerator and denominator by 7 to get 7/14.

Subtract the fractions: Now that the fractions have the same denominator, you can subtract them by subtracting the numerators while keeping the common denominator. In this case, subtracting 7/14 from 12/14 gives you 5/14.

Therefore, 6/7 - 1/2 equals 5/14.

For more details of Subtract the fractions:

https://brainly.com/question/5220474

#SPJ6

a school has 825 students and 55 teachers how ,many students are per teacher unit rate

Answers

Answer:

It would be 15 students per teacher unit

Step-by-step explanation:

You divide 825 students by 55 teachers

10x-3=-5x-18

I don’t know can some one help

Answers

Answer:

x=-3 (x equals negative three)

Explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Find the value of x and then find m∠H. PLEASE HELP

Answers

Answer:

Here,

6x - 1 + 5x + 17 = 126

or,11x + 16 =126

or, 11x = 110

Therefore,x=10

the value of angle h is=6x-1

=6×10-1

=59#

Yall know the rate of change?

Answers

Answer:

M=-3

Step-by-step explanation:

Slope:

y2-y1/x2-x1

-3-3/1+1=6/-2=-3

Pleaseeeee I’ll give first correct answer brainliest

Answers

Answer:

the bottom left one is right

Step-by-step explanation:

Find the area of the shaded region. Use 3.14 to represent pi. Hint: You need to find height of triangle.





Question 1 options:

329.04 inches squared


164.52 inches squared


221.04 inches squared


272.52 inches squared

Answers

Answer: 221.04 inches squared

Step-by-step explanation:

y=-2(x-4)^2-3 in standard form

Answers

4x+y=13 i hope it’s right

If x = 27 and y = 70, what is y when x = 6?​

Answers

Answer: 18

Step-by-step explanation:

Please help!! Will mark brainliest

Answers

Answer:

21

Step-by-step explanation:

The missing side is 21. Hope this helps

Need help pleaseeee

Answers

Cross multiply
10(x-3) = 9x
10x - 30 = 9x
-1x = -30
X = 30

Answer:

x = 30

Step-by-step explanation:

Is the ratio 4/10 equivalent to 10/25?

Answers

Answer:

yes if decimals aren't included

I need help I’m being timed

Answers

I think it’s may be A, -(square root) X+2,-3 3down and 2 left

graph y=4- 3/5x Help me out please​

Answers

Answer: Y = (0,4)

X = 20/3

Step-by-step explanation:

Answer:

the points are at 0,4 and 6.6670 or 6,0

Step-by-step explanation:

Brainlist?

If DH = (4x + 10) in. and HI = (2x − 4) in., then x =_______ , HI =_______ , and ID = _________

Answers

Answer:

x = ∞ infinite solutions or 0

HI = infinite solutions

ID = infinite solutions.

Step-by-step explanation:

Oh okay I got this now!

ID + HI = DH

ID + 2x - 4 = 4x + 10 (subtract 2x on both sides)

ID - 4 = 2x + 10 (add 4 on both sides)

ID = 2x + 14

So now ID + HI = DH

2x + 14 + 2x - 4 = 4x + 10 (simplify)

4x + 10 = 4x + 10 (subtract 10 on both sides)

4x = 4x (minus 4x on both sides)

0 = 0

I would plug in 0 as x.

Hope this helps!

What is the first step in solving this expression? 28 - 11 + 6 ● 3 + 5

Thanks,

Answers

Answer:

First Step of solving this expression: Multiply

Answer for the expression: 40

Step-by-step explanation:

To find the first step you need to follow the order of operation

Parenthesis

Exponents

Multiplication and Division

Addition and Subtraction

Since there are not Parenthesis or Exponents then you may skip that step but there is a multiplication sign so the first step is Multiplication

To solve multiply 6 and 3

Which is 18

Now the expression looks like this:

28-11+18+5

Now simplify from left to right:

28-11=17

17+18=35

35+5=40

Hope this helps!

Answer: Multiply 6*3, then add 18+5, then subtract 28-11, then add them:

17 + 23 = 40!

Step-by-step explanation: PEMDAS:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

This set of points is on the graph of a function.
{(-2,-8),(0,9),(2,8),(3,27)}

Which graph are on the graph of the inverse?

Select EACH correct answer!!!

A) (-8,-2)

B) (-8,2)

C) (-27,-3)

D) (9,0)

Answers

Answer:

A and D

Step-by-step explanation:

i hope i did this righti tried my best

The price of the radio was $14. The sales tax was 3.5%.
What was the total cost of the radio, including the sales
tax?

Answers

Answer:

14.49

Step-by-step explanation:

14 * 0.035 = 0.49

14 + 0.49 = 14.49

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