∠A and \angle B∠B are vertical angles. If m\angle A=(2x-10)^{\circ}∠A=(2x−10) ∘ and m\angle B=(x+8)^{\circ}∠B=(x+8) ∘ , then find the measure of \angle A∠A.

Answers

Answer 1

Answer:

m∠B=52

Step-by-step explanation:

Two or more angles are said to be complementary if they sum up to 90 degrees.

Given that angles A and B are complementary, then:

\begin{gathered}\angle A+\angle B=90^\circ\\m\angle A=(2x+18)^{\circ}\\m\angle B=(6x-8)^{\circ}\\$Therefore:\\(2x+18)^{\circ}+(6x-8)^{\circ}=90^\circ\\2x+6x+18-8=90^\circ\\8x+10^\circ=90^\circ\\8x=90^\circ-10^\circ\\8x=80^\circ\\$Divide both sides by 8\\x=10^\circ\\$Therefore:\\m\angle B=(6x-8)^{\circ}\\m\angle B=(6(10)-8)^{\circ}\\=60-8\\m\angle B=52^{\circ}\end{gathered}


Related Questions

HELP PLease
Write your answer as a fraction in lowest terms

Answers

Answer:

cos B = 9/41

Step-by-step explanation:

cos is adjacent over hypotenuse. SOH(CAH)TOA

( 8 x 400 ) + ( 8 x 9 )

Answers

Answer:

3,272

Step-by-step explanation:

8 x 400 = 3200

8 x 9= 72

3200 + 72 = 3,272

Solve each inequality

2x + 2 - 6x > -4 - 7x


1 + 7n ≤ 15 or -2n - 2 ≤ - 18

Please show all work :D

Answers

Answer:

x > -2n ≤ -2 or n ≥ 8

Step-by-step explanation:

1.

Add 7x-2 to both sides and collect terms.

  2x +2 -6x +7x -2 > -4 -7x +7x -2

  3x > -6

  x > -2 . . . . . . . divide by 3

__

2.

Solve these one at a time, and form the union of the answers.

  1 +7n ≤ 15 . . . .given

  7n ≤ 14 . . . . . . subtract 1

  n ≤ 2 . . . . . . . divide by 7

__

  -2n -2 ≤ -18 . . . given

  -2n ≤ -16 . . . . . add 2

  n ≥ 8 . . . . . . . . divide by -2

The solution is n ≤ -2 or n ≥ 8.

1) For which pair of triangles could ONLY the Side Angle Side postulate (SAS) be used to prove the triangles congruent?
A) Pair A
B) Pair B
9 Pair
D) Pair D

2) For which pair of triangles could either the Side Angle Side postulate (SAS) or Side Side Side postulate (SSS) be used
to prove the triangles congruent?
A) Pair A
B) Pair B
C) Pair C
D) Pair D

Answers

Answer:

1) A

2) D

Step-by-step explanation:

1) You can see that both sides are equal and they have only one angle in common

2) This one is a bit more quirky. You have to complete the angles. First, you name the two that are in front of each other because of the vertice. In that way, you can see that they have one side in common (S), then the angle which we just explained (A), and finally another side (S)

Hope this was helpful.

Which is the verbal expression for (n+1) to the 2nd power ?

Answers

Answer:

1 more than n squared

Step-by-step explanation:

One more than n squared

what is negative 6 + 5 and 1/4?=

Answers

Answer:

negative 0.75

Step-by-step explanation:

negative 6 + 5 is negative 1

divide 1/4 wich is 0.25 then

0.25 + negative 1 is negative 0.75

Need help ASP!!! Math-help

Answers

Answer:
Could not lie on the same line
Explanation:

What is the domain and range .

Answers

Domain (x) Range (y)
x= infinite

In Lucy’s coin collection, 15% of the coins are quarters.
If there are 12 quarters, find the total number of coins in Lucy’s coin collection

Answers

80 coins

.15x=12

divide both sides by .15

x= 80

If Mrs. Hill takes out a mortgage for $80,000 with a 4% interest rate, what will her interest be after 20 years? Help ASAP

Answers

Answer:

$6400

Step-by-step explanation:

If Mrs. Hill takes out a mortgage for $80,000 with a 4% interest rate, what will her interest be after 20 years?

First you want to find how much she will get each year.

Turn 4% into a decimal.

Which you have to move the decimal point over to spaces to the left.

4. ----- .4 ----- .04

Now that you have done that you need to multiply,

$80000 × .04

which is $3200.

Now you know she gets $3200 a year.

Now multiply $3200 by 20.

$3200 × 20

which is $6400.

She will get $6400 interest.

hello, please answer
if
[tex]\frac{a}{b} = \frac{c}{d} = \frac{2}{5}[/tex]
then what is the answer of :
[tex]\frac{a + 3c + 4}{b + 3d + 10}[/tex]

Answers

Step-by-step explanation:

[tex]{ \rm{a = c = \frac{2}{5} b}} \\ \\ { \rm{b = d = \frac{5}{2} a}}[/tex]

• Substitute:

[tex]{ \rm{ \frac{a + 3c + 4}{b + 3d + 10} = \frac{ \frac{2}{5} b + \frac{6}{5}b + 4 }{ b + \frac{15}{2} b + 10} }} \\ \\ = { \rm{ \frac{ \frac{8}{5} b + 4}{ \frac{17}{2}b + 10 } }} \\ \\ { \rm{}}[/tex]

Kate owns a shoe store in Los Angeles. Whenever she orders a new style of shoe, she orders 4 pairs of that style in each of the most popular sizes. The most popular sizes are 6, 7, 8, 9, and 10. She also orders 2 pairs in size 5 and 2 pairs in size 11.
For every new style, how many pairs of shoes does she need to order in total?

Answers

Answer:24

Step-by-step explanation: you multiply 4x5 because there are 5 popular sizes and she buys 4 of each and you add the 4 extra to get 24

Mrs ray is teaching a 5th grade class . She is standing 5 meters in front of Kiara. Ian is sitting 12 meters directly to Kiara’a right . How far apart are Mrs Ray and Ian

Choices
A. 11 meters
B. 12 meters
C. 13 meters
D. 14 meters

Answers

The answer is going to be b

At Charlie's Hats, 12% of the 75 hats are baseball caps. How many baseball caps are there?

Answers

da answer is 24 OK understand


Simplify.
√44
O 4√40
O 2√11
O 2√22
o 4√11

Answers

Answer:

It is the second option

[tex]2 \sqrt{11} [/tex]

pls answer quickly

Ryan wants to measure the length of a bed cover which of the following would be the most appropriate unit to use?

A) kilogram

B) kilometer

C) meter

D) mile​

Answers

The answer is meter since grams is used to measure weight and kilometer and mile are used to measure something larger.

Answer:

C. Meter

Step-by-step explanation:

1. Kilograms measure weight, not distance/length, so it wouldn't make sense to use them to measure a bed.

2. Kilometers are used to measure very long distances, as are miles, so it wouldn't make sense to use them on something small like a bedframe.

That means the only option left is C. Meter.

Hope this helps.

Write from least to greatest​

Answers

Answer:

-9.5, -9, -8.5, -4, -2.5, 0, 7.7, 8

Step-by-step explanation:

hopes this helps <3

HELPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

thats easy B ur welcome !!!!

Answer:

The answer is B

Step-by-step explanation:

Pleaseeeeee help! I don’t understand and I just wanna go to sleep but this is due in 35 minutes

Answers

Answer:

69

Step-by-step explanation:

it is 69 becuase 4x-7+11x-8 equals 69

We have: 2.(4x - 7)° + 2(11x - 8)° = 360°

So: 8x - 14 + 22x - 16 = 360°

<=> 30x - 30 = 360°

<=> 30(x - 1) = 360°

<=> x - 1 = 12

<=> x = 13°

We know: ∠G = ∠F = (11x - 8)° = ( 11.13-8)° = 135°

The answer: ∠G = 135°

Ok done. Thank to me :>

Dan made 85% of his free throws. If he took 45 shots how many did he make?

Answers

Answer:

38

Step-by-step explanation:

85%=.85

So 45 × .85 = 38.25

38 shots he made.

Hope this helps

Answer:  38

Work Shown:

85% = 85/100 = 0.85

85% of 45 = 0.85*45 = 38.25

Rounding to the nearest whole number, we get the result 38

As a check, 38/45 = 0.8444 approximately which converts to 84.44% and that's fairly close to 85%. If we tried 39, then 39/45 = 0.8667 = 86.67% which is a bit too high.

15 POINTS! Will give brainliest to correct answer. I would love an explanation so I can do it on my own next time.

Answers

Answer:

Step-by-step explanation:

(A). A 90° counterclockwise rotation about the origin followed by a translation 1 unit to the left.


El Club de Matemáticas está horneando pasteles para una venta de
pasteles. La receta del pastel de frutas requiere el doble de melocotones
que nectarinas. Si se necesitan un total de 168 piezas de fruta para todas
las tartas, ¿cuántas nectarinas se necesitan?

Answers

Answer:

56

Step-by-step explanation:

El problema se puede transcribir en esta ecuación:

2x + x = 168

siendo x las nectarinas

sumas los términos de x:

3x=168

despejas x:

x = 168 ÷ 3

x = 56

an airplane on autopilot took 5 hours to travel 3,475 kilometers, what is the unit rate?

Answers

Km/h kilometre per hour

When would the following conditional be false?
If you study for the test, then your grade will be higher than a 75.

You study for the test, and your grade is an 80.
You study for the test, and your grade is a 70.
You do not study for the test, and your grade is an 80.
You do not study for the test, and your grade is a 70.

Answers

According to the conditional statement, the false option is:

You study for the test, and your grade is a 70.

The statement is:

"If you study for the test, then your grade will be higher than a 75."

It says nothing about not studying for the test, hence the third and fourth options are ignored.

If you study, you are ensured a grade higher than 75, hence, the false option is:

You study for the test, and your grade is a 70.

You can learn more about conditional statements at https://brainly.com/question/11073037

Please answer this question.

Answers

Sequence A? Sorry if this is wrong!! Good luck!!

solve each proportion. 9/16 = x/12

Answers

Answer:

x =27/4

x=6.75

x=6 3/4

Step-by-step explanation:

They are all the same answer just written in different forms. Didn't know what form u wanted so i wrote them all

Answer:

x = 6.75

Step-by-step explanation:

cross multiply 9/16 = x/12

16x = 108

divide by 16 to isolate x

x = 6.75

Solve -4 b + 2 = 18.

Answers

Answer:

-4

Step-by-step explanation:

Move all terms that don't include B to the right and solve

f(x) = -4(x+2) what is f(4)

Answers

Answer:

-24

Step-by-step explanation:

f(4)= -4(x+2)

f(4)= -4(6)

f(4)= -24

Answer:

F(x)=-4(x+2)

0=-4-8

4x=-8

X=-2

So,-2×2

-4

Step-by-step explanation:

Have a great day!

i posted this more then 2 times can someone help

Answers

The question isn’t showing

Answer:

yes

Step-by-step explanation:

yes ......................................

The x and y axis are negative what's the quadrant or axis

Answers

Answer:

Need more information

If you want put a graph or explain more your question

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