All categories

3 years ago

Find the value of x?

Mathematics

1 answer:

Burka [1]3 years ago

3 0

Answer:

We know that the exterior angle of a triangle is equal to the sum of two opposite interior angle. 

Step-by-step explanation:

25x + 57 + x = 45x

26x + 57 = 45x

57 = 45x - 26x

19x = 57

Therefore x = 3

Hope it will help you

You might be interested in

Tamara spun the arrow on a spinner 50 times. The number of times the arrow landed on each colored section of the spinner is show

lord [1]

Answer: 1/2 or 23/50

Step-by-step explanation:

Sorry no steps

3 0

3 years ago

A triangular lot has sides of 215m, 185m, and 125m. Find the measures of the angles at its corners

Vlada [557]

Answer:

The measures of the angles at its corners are $59.1\°,35.4\°,85.5\°$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle A

Applying the law of cosines

$185^{2}= 215^{2}+125^{2}-2(215)(125)cos(A)$

$2(215)(125)cos(A)= 215^{2}+125^{2}-185^{2}$

$cos(A)= [215^{2}+125^{2}-185^{2}]/(2(215)(125))$ $cos(A)=0.513953$

$A=arccos(0.513953)=59.1\°$

step 2

Find the measure of angle B

Applying the law of cosines

$125^{2}= 215^{2}+185^{2}-2(215)(185)cos(B)$

$2(215)(185)cos(B)= 215^{2}+185^{2}-125^{2}$

$cos(B)= [215^{2}+185^{2}-125^{2}]/(2(215)(185))$ $cos(B)=0.81489$

$B=arccos(0.81489)=35.4\°$

step 3

Find the measure of angle C

Applying the law of cosines

$215^{2}= 125^{2}+185^{2}-2(125)(185)cos(C)$

$2(125)(185)cos(C)= 125^{2}+185^{2}-215^{2}$

$cos(C)= [125^{2}+185^{2}-215^{2}]/(2(125)(185))$ $cos(C)=0.0784$

$C=arccos(0.0784)=85.5\°$

3 0

3 years ago

Match the expression to its value.

brilliants [131]

Answer:

1 a

2 b

3 c

4 d

Step-by-step explanation:

6 0

3 years ago

An employee works 22 days per month. If they work an average of 8 1/4 hours per day, how many hours do they work per month?

cestrela7 [59]

Answer:

21?

Step-by-step explanation:

idk

5 0

3 years ago

Read 2 more answers

In this assignment, you will explore how the volume is changed when you adjust the height or radius of a cylinder. You will drag

lesantik [10]

The volume of a cylinder changes when you adjust the height or radius as the volume either increases or reduces.

<h3>How to illustrate the volume?</h3>

Let's assume that the height and radius are 14cm and 7cm. The volume will be:

= πr²h

= 3.14 × 7² × 14

= 2154.04cm³

When the radius and height are reduced to 5cm and 9cm, the volume will be:

= πr²h

= 3.14 × 5² × 9

= 706.5cm³

This illustrates that the volume reduces when the height and radius reduces.

Learn more about volume on:

brainly.com/question/1972490

#SPJ1

8 0

2 years ago