Find the measure of the given angles. Show work!!

Find The Measure Of The Given Angles. Show Work!!

Answers

Answer 1

Given:

The figure of a right angle triangle.

To find:

The value of x and measures of all angles of the triangle.

Solution:

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

Using angle sum property, we get

[tex](x+60)^\circ+(x+50)^\circ+90^\circ=180^\circ[/tex]

[tex](2x+200)^\circ=180^\circ[/tex]

[tex](2x)^\circ=180^\circ-200^\circ[/tex]

[tex](2x)^\circ=-20^\circ[/tex]

It can be written as

[tex](2x)=-20[/tex]

Divide both sides by 2.

[tex]x=-10[/tex]

The value of x is -10.

Now,

[tex]m\angle A=x+50[/tex]

[tex]m\angle A=-10+50[/tex]

[tex]m\angle A=40[/tex]

And,

[tex]m\angle B=x+60[/tex]

[tex]m\angle B=-10+60[/tex]

[tex]m\angle B=50[/tex]

Therefore, the value of x is -10, measure of angle A is 40 degrees and measure of angle B is 50 degrees.


Related Questions

1. Good recordkeeping requires that you keep an accurate record of how you spend your money.

Answers

Answer:

True

Step-by-step explanation:

This answer stated is true

Hey, I've attempted this question a thousand times and keep on getting it wrong :( please help. Thank you

Answers

2hour because raymond is useles

Step-by-step explanation:

Answer:

72 minutes or 1 hour and 12 minutes

Step-by-step explanation:

in one hour Raymond would have done 1/3 of a job

in one hour Robert would have done 1/2 of a job

so in one hour together, they would have done 1/2+1/3 = 5/6 of a job

5/6 job = 1 hr

1/6 job = 12 mins

6/6 job = 72 minutes

The diagram shows two right-angled triangles. Calculate the value of x.

Answers

52° would be the value of x

The value of x in the given diagram is 7cm.

What is tangent of an angle?

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

According to the given question.

We have a diagram in which we have two right angled triangles.

Now, in the upper right angled triangle

[tex]tan50 = \frac{0pposite side}{5}[/tex]

⇒ 1.19 = 0pposite side/ 5

⇒ opposite side = 1.19 × 5

⇒ opposite side = 1.2 × 5

opposite side = 6cm

Now, the opposite side w.r.t angle 50  degrees in the upper right angle triangle is a adjacent side w.r.t to angle 38 degrees in the lower right angle triangle.

So, in the lower right angle triangle.

[tex]tan38 = \frac{x}{adjacent side}[/tex]

⇒[tex]0.78 = \frac{x}{6}[/tex]

⇒ x = 0.78 × 6

⇒ x = 4.68

x = 7cm

Hence, the value of x in the given diagram is 7cm.

Find out more information about tangent of an angle here:

https://brainly.com/question/14022348

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What is the slope of the linear equation y = -7x + 7?

Answers

Answer:

-7

Step-by-step explanation:

y = mx + b is slope-intercept form and m is the slope. In this case m = -7 so the slope is -7.

What is the probability that a student who plays an instrument is in band?
A. 20/25
B. 5/25
C. 5/30
D. 5/50

Answers

It’s A so it’s 20/25

What value of x makes this equation true?
12x - 15 = 6 - 3x
A.7/5
B.7/3
C.3/7
D.5/7

Answers

Answer:

your answer should be 7/5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Add 3x to both sides.

Step 3: Add 15 to both sides.

Step 4: Divide both sides by 15.

HELP ME PLEASEEEEEEEE

Answers

Answer:

letters A and D

Plz help me...What is 46% of 180?

Answers

Answer:

82.8

Step-by-step explanation:

(!)46 % of 180 is. (!)

82.8

"FYI: This type of question could be answered from g0ogle".

(could you mark this question brainliest?)

Help solve!!! Need an answer very very soon!!!

Answers

Answer:

30 degrees

Step-by-step explanation:

sin(30 degrees) = 9/18 = 1/2

law...

The other one was cut this is the ful picture

Answers

Answer:H?????

Step-by-step explanation:

125% of e is 30. What is e? e =
35% of f is 14. What is f? f =

Answers

Answer:

If 125% of e is 30, then 25% of e is 6. So then 100% of e would be 24

If 35% of f is 14, then 5% of f is 2. So then 100% of f would be 40

Answer:

Step-by-step explanation:

125% = 125/100 = 5/4

5/4 is 30, so 4/4 is 24. to check: multiply 5/4 and 24 together, you will get 30.

for the second: 28 would be 70%  or 7/10

28 divided by 7 is four so every ten percent would be 4. 4 times 10 would get you forty. 35 percent of fourty it equals 14.

THE FIRST ANSWER IS 24 THE SECOND IS 40

will give brainly to answer this correctly

Answers

Answer:

D) 2x² + x - 10

Step-by-step explanation:

First, distribute the negative sign to all terms within the second parenthesis:

- (4x - x² + 6) = -4x + x² - 6

Next, combine like terms:

5x + x² - 4 - 4x + x² - 6

(x² + x²) + (5x - 4x) + (-4 - 6)

2x² + x - 10

2x² + x - 10 , or D) is your answer.

Answer:

2x^2+x-10 (the pink/red one)

Step-by-step explanation:

(5x+x^2-4)-(4x-x^2+6)

5x+x^2-4-4x+x^2-6

2x^2+x-10

a truck travels 1/8 mile in 2/3 minute. what is the speed of the truck?

Answers

Answer:

fgfthvjjuuytrf46477777

plzz help need help need help

Answers

Just divide 75 by 9 multiplying 100 gives u the answer. And same for the rest

who likes one direction and what 92 times 104

Answers

I like one direction!

Answer: 9,568

Hope this helps!

Step-by-step explanation:

it's 9,776 the answer the problem is 9,776

y is inversely proportional to x.when y=7 x=9 a) work out an equation connecting y and x b) work out the value of y when x=21

Answers

Answer:

a) y = k/x

7 = k/9

b) y = 3

Step-by-step explanation:

From the question, we are told that:

y is inversely proportional to x.

Mathematically:

y ∝ 1/x

y = k × 1/x

y = k/x

k = Constant of Proportionality

a) work out an equation connecting y and x

To find this Equation,

y = k/x

when y=7 x=9

Hence:

7 = k/9

b) work out the value of y when x=21

We find the value of k first

7 = k/9

k = 7 × 9

k = 63

Hence, the value of y when x=21

y = k/x

k = 63, x = 21

y = 63/21

y = 3

On a scale drawing, a bookshelf is 8 inches tall. The scale factor is 1/8 What is the height of the bookshelf?​

Answers

Answer:

8 inches = 1/8 of the real height of the book shelf

Multiply 8 by 8 because the question shows 1/8 of the book shelf

8x8=64

The book shelf is 64 inches.

or 5 feet and 4 inches.

Answer:

it would b 64 in. or 5 ft. 4 inches

Step-by-step explanation:

8x8 = 64

(3 x 103)(7 x 106)

a
2.1 x 1010

b
2.1 x 109

c
2 x 1010

d
21 x 109

Answers

Answer:

b

Step-by-step explanation:

Jane had $60. She spent an average of $5 each day. How many days did
she take to spend all her money?
=
She took
days to spend all her money.
&​

Answers

Answer:

She took 15 days to spend all the noney

The ratio of the two numbers is 3:4 and their sum is 420. Find the two numbers

Answers

Answer:

0.008

Step-by-step explanation:

because you have to divide it

123,456,789x123,456,789=

Answers

Answer:

123,456,789x123,456,789= (123,456,789)^2= 152415788*10^16

can i have brainliest please

Solve for n. 24 = 3(n -5)​

Answers

Answer:

n=13

Step-by-step explanation:

24=3(n-5)

24=3n-15

-3n=-24-15

-3n=-39

n=13

HURRY PLEASE!! Use the number line to answer the following questions.
-1 0 1
Part A
What is the sign of q + 8? Explain how you know.
Respond in the space provided.

Answers

Answer:

its -1

Step-by-step explanation:

i need the answer to this question. it’s due tomorrow, i will give brainliest

Answers

Answer:

the volume is 504

Step-by-step explanation:

volume=1/2a*b*h

a=8

b=9

h=14

1/28*9*14=504

Which number sentence is true? ​

Answers

Answer:

B

Step-by-step explanation:

B) because 8.5 is bigger than 2.97

hope this helps!!

1. Find the volume of the object below.*

Answers

Answer:

228 cubic centimeters

Step-by-step explanation:

Find the volume for the blue box: 8 x 1 x 6 = 48

Find the volume of the orange box: 6 x 6 x 5 = 180

48 + 180 = 228

These polygons are similar. Find the missing side length.

Can you guys help?

Answers

Answer:

Step-by-step explanation:

Since they are similar we can say

?/15=6/3

?=15(6)/3

?=30

Is it possible to slow light to almost zero miles/second? What machine would benefit from slowing light's
speed?

Answers

Answer:

light, which normally travels the 240,000 miles from the Moon to Earth in less than two seconds, has been slowed to the speed of a minivan in rush-hour traffic — 38 miles an hour.

An entirely new state of matter, first observed four years ago, has made this possible. When atoms become packed super-closely together at super-low temperatures and super-high vacuum, they lose their identity as individual particles and act like a single super-

atom with characteristics similar to a laser.

Step-by-step explanation:

-4x + y = -20 -2x - 2y = 10

X=

Y=

Answers

Answer: (x, y) = (-5, -10)

Step-by-step explanation: too lazy

which one is it help me​

Answers

Answer:

Number 2 or Number 3

Step-by-step explanation:

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