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cluponka [151]
3 years ago
7

What is the measure of 2x?

Mathematics
2 answers:
luda_lava [24]3 years ago
5 0

Answer:

130 °

....................

Citrus2011 [14]3 years ago
3 0

Hi! I'm happy to help!

To solve this, we need to first solve for x.

The total of all the interior angles in a quadrilateral (closed, not curved, shape with 4 sides) is 360°. So, we can single out the xs by subtracting the other angles.

360-89

271

271-76

195

Now that we know that, without the other two angles, the quadrilateral is worth 195. The only 2 angles left have x in them. Since there are 3 xs, we can use this to find out our x.

3x=195

Now, divide both sides by 3.

x=65

Now that we have the value of x, the measure of 2x will just be double that.

65×2

130

<u>The measure of 2x is 130°</u>

I hope this was helpful, keep learning! :D

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Find the surface area of the composite figure.
Fynjy0 [20]

Answer:

132cm²

Step-by-step explanation:

Split into two shape: Cube & Triangle prism

Cube surface area:

1) area of top & bottom

(4×3)×2= 12×2= 24cm²

2) area of the sides (only three sides as for surface)

(3×6)×3= 18×3= 54cm²

Triangle prism surface area:

1) area of two sides of triangle:

(½×6×4)×2= (3×4)×2= 12×2= 24cm²

2) area of two sides of rectangle:

(5×3)×2= 15×2= 30cm2

Total surface area: 24+54+24+30= 132cm²

3 0
3 years ago
Find the measure of angle h
AnnZ [28]

Answer:

62 degrees

Step-by-step explanation:

Since we know 3 sides of the triangle, we can use law of cosines.

{gk}^{2}  =  {gh}^{2}  +  {kh}^{2}  - 2(gh)(kh) \times  \cos(h)

{8}^{2}  =  {17}^{2}  +  {15}^{2}  - 2(17(15) \times  \cos(h)

64 = 289  + 225 - 510 \times  \cos(h)

64 = 314 - 510 \times  \cos(h)

- 250 =  - 510 \times  \cos(h)

\frac{250}{510}  =  \cos(h)

\frac{25}{53}  =  \cos(h)

Take the arcos or cosine inverse

\cos {}^{ - 1}  =  \frac{25}{53}

Which is about 62 degrees.

7 0
3 years ago
Hailey wants to put a skirt around her desk to hide all her computer equipment and cords. She measured her desk, found the dimen
xeze [42]

Answer:

C.\ Perimeter = 48 * 18

Step-by-step explanation:

Given

See attachment for her sketch

Required

Which equation do not represent the perimeter

From the attached sketch:

L =18in --- Length

W =48in --- Width

Perimeter (P) is calculated as:

P = 2 * (L + W)

This gives:

P = 2 * (18 + 48) ---- This represents (A)

Open bracket

P = 2 * 18 + 2*48 ---- This represents (B)

In algebra:

2 * a means a+ a

So, the expression becomes

P = 18 + 18 +48 + 48 --- This represents (D)

<em>This implies that (C) does not represent the perimeter</em>

4 0
3 years ago
6k ÷ 7 = -3<br> Solve for k
fomenos

Answer:

k = -3.5

Step-by-step explanation:

6k ÷ 7 = -3

Multiply 7 to both sides

6k = -21

Divide both sides by 6

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To check if the answer is correct or not, you can always plug in -3.5 for k in the equation.

6(-3.5) ÷ 7 = -3

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-3 equals -3 so it is correct that k = -3.5

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