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2 years ago

In the figure below, m angle 1= (x + 88) and m angle2 =3xº, Find the angle measures.

Mathematics

1 answer:

Paul [167]2 years ago

3 0

Answer:

angle 1 = 111

angle 2 = 69

Step-by-step explanation:

Supplementary Angles add up to 180°.

We are given angle 1 = (x+88)° and angle 2 = 3x°

The sum of both angles add up to 180°

x+88+3x=180

4x=180-88

4x=92

x = 23

To find angle 1, substitute x = 23 in (x+88)°

23°+88° = 111°

Therefore, angle 1 is 111°

To find angle 2, substitute x = 23 on 3x°

3(23) = 69°

Checking if the answer is right by combining 111 and 69.

111+69 = 180

Hence, the answers are 111° and 69°.

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The following figure is a rhombus. Find the value of m. Then, use that value to find the measure of VW

maxonik [38]

Answer:

$m=8$

The length of VW = 36 units.

Step-by-step explanation:

We know that a rhombus is a quadrilateral with four sides. All four sides have the same length.

From the diagram, it is clear that

The length of VW= 6m-12

The length of WX = 4m+4

As all the four sides of the rhombus have equal length.

So we can observe

$VW=WX$

$6m-12 = 4m+4$

Add 12 to both sides

$6m-12+12=4m+4+12$

$6m=4m+16$

$2m=16$

Divide both sides by 2

$\frac{2m}{2}=\frac{16}{2}$

$m=8$

The length of VW= 6m-12

= 6(8)-12 ∵ $m=8$

= 48-12

= 36

Thereofore, the length of VW = 36 units.

3 0

3 years ago

Item 16 a dentist's office and parking lot are on a rectangular piece of land. the area (in square meters) of the land is repres

Lyrx [107]

For this case, the first thing we should do is use the following equation:
x ^ 2 + x-30
Here, we substitute the value of x = 20
We have then:
(20) ^ 2 + (20) -30 = 390 m ^ 2
Answer:
the area of the land when the length of the dentist's office is 20 meters is:
390 m ^ 2

6 0

3 years ago

46m+11-33m=-28 work and solve

harina [27]

46m - 33m = -28 - 11
13m = -39
m =-3

4 0

3 years ago

Read 2 more answers

What is needed to make a rotation

Elden [556K]

Answer:

the points of the graph