All categories

2 years ago

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Mathematics

2 answers:

zavuch27 [327]2 years ago

8 0

X=27 because all the angles inside a triangle add up to 180°. So you take 180 and subtract 63 and 90 from the to find out the last/missing angle.

RoseWind [281]2 years ago

6 0

Answer: 27°

Step-by-step explanation: Here, we're asked to find the missing angle measure in the triangle shown which is represented by the variable x.

To find the value of x, remember that the sum of the

measures of the angles in a triangle is 180°

So we can setup the equation 63 + 90 + x = 180.

Remember that a box indicates a 90° angle.

Now to solve for x, let's first simplify on the left side of the equation.

63 + 90 is 153 so we have 153 + x = 180.

Now to get x by itself, we subtract 153 from both sides of the equation.

On the left side of the equation, 153 - 153 cancels out and we have x

and on the right side of the equation, 180 - 153 is 27.

This means that the missing angle in the triangle is 27°.

You might be interested in

Which graph shows a system of equations with no solutions?

podryga [215]

Graph of Parallel lines shows a system of equations with no solutions

Step-by-step explanation:

Consider a set of equations

$7x - 2y = 16\\21x + 6y =24$

If we solve this both equations using any one of the solving method, (Substitution method) then we will get

$7x-2y=16\\7x=16+2y\\x=\frac{16+2y}{7}$

substituting the following x in 2nd equation (21x + 6y = 24) We get

$21(\frac{16+2y}{7} )+6y=24\\3(16+2y)+6y=24\\48+6y+6y=24\\12y=24-48\\y=-\frac{24}{12} \\y=-2$

Put y= -2 in x equation

$x=\frac{16+2(-2)}{7}\\ x=\frac{16-4}{7}\\\x=\frac{12}{7} \\x=1.71$

Comparing these (x,y) values we can understand that they never meet at a point

4 0

2 years ago

A circle has a radius of 6 feet. Calculate the area of the<br> sector formed by a central 30° angle

Tems11 [23]

Answer:

The area of the sector is 9.43 ft^2

Step-by-step explanation:

Here, we want to find the area of the sector with a central angle of 30 degrees

To do this, we use the formula below;

Area of sector = theta/360 * pi * r^2

theta = central angle = 30 degrees

r = radius = 6 ft

Thus, we have it that;

Area of sector = 30/360 * pi * 6^2

= 30/10 * pi = 3 * 3.142 = 9.43 ft^2

6 0

3 years ago

Please help with my math

shusha [124]

Answer:

Step-by-step explanation:

These triangles are similar triangles, so there is a number that you can multiply the sides of TUV to find the side lengths of QRS. looking at the triangle, the similar sides are RS being similar to UV and RQ being similar to UT.

If RS~UV, then there is a ratio between them. 54/36=1.5. The ratio is 1.5.

RQ~UT, and by a factor of 1.5, so divide RQ by the scale factor. 24/1.5=16. UT=16=x+5.

x+5=16, subtract 5 from both sides.

x=11

5 0

2 years ago

Answer them please

Margaret [11]

Answer: Okay so you will first come over and take out the a and b and then that will become c and then you add the rest of the numbr up equaling to

Step-by-step explanation: why because 7 is the answer and i know it for all of them your teacher tricked you so you would get a diffrent answer just put 7 trust

plz repay and do mine

5 0

3 years ago

Read 2 more answers

Please help! Correct answer only!

kykrilka [37]

55 - 3 = 52
52 - 3 = 49
49 - 3 = 46
46 - 3 = 43
43 is your answer

7 0

3 years ago