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Airida [17]
3 years ago
13

Simplify: 26 - 2(7 + 3^2) please answer with one of the options below:)

Mathematics
1 answer:
ad-work [718]3 years ago
7 0
-6 so option D is the answer
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In Triangle BCD, BC=BD, and angle B =13x-35, angle C = 5x-19, angle D=2x+14. Find the measure of each angle
aleksandr82 [10.1K]

Answer:

B = 108

C = 36

D = 36

Step-by-step explanation:

Given

B =13x - 35

C = 5x - 19

D=2x+14

BC = BD

Required

Determine the measure of each angle

The angles in a triangle sum up t 180. i.e.

B + C + D = 180

Since BC = BD, then C = D

B + C + D = 180 can then be rewritten as:

B + C + C = 180

B + 2C = 180

Substitute values for B and C

13x - 35 + 2(5x - 19) = 180

Open Bracket

13x - 35 + 10x - 38 = 180

Collect Like Terms

13x + 10x = 180 + 38 + 35

23x= 253

Divide both sides by 23

x = 11

To get the measure of each angle, substitute 11 for x in the expressions of B, C and D

B =13x - 35

B = 13 * 11 - 35

B = 108

C = 5x - 19

C = 5 * 11 - 19

C = 36

D=2x+14

D = 2 * 11 + 14

D = 36

5 0
3 years ago
What is 9-h divided by 1/8; h = 1/3
Anton [14]

Answer:

160/3

9-<u>1</u>

<u> </u><u> </u><u> </u><u>3</u>=21-1/3*8=160/3

1/8

8 0
3 years ago
18 cm 18 cm 9 cm Area:​
Alik [6]

Answer:

2916 cm

Step-by-step explanation:

In area you have to multiply

So all I did was

18x18x9

which equals 2916

7 0
3 years ago
What is the shape of the cross-section formed when a plane containing line AC and line EH intersects this cube? What is the area
liq [111]

Answer:

Area of given figure = 96 unit²

Step-by-step explanation:

Given:

Length of shape = 4 unit

Width of shape = 4 unit

Height of shape = 4 unit

Find:

Area of given figure

Computation:

All side of figure all equal

So,

Given figure is a cube

Number of faces of cube = 6

Area of base = side x side

Area of base = 4 x 4

Area of base = 16 unit²

Area of given figure = Area of base x Number of faces of cube

Area of given figure = 16 x 6

Area of given figure = 96 unit²

8 0
3 years ago
A slow pitch softball diamond is actually a square 60 ft on a side. how far is it from home to second ​base?
krek1111 [17]
For this case we have a square whose sides are known and equal to 60 ft.
 We want to find the diagonal of the square.
 For this, we use the Pythagorean theorem.
 We have then:
 d^2 = 60^2 + 60^2&#10;&#10;d =  \sqrt{60^2 + 60^2}&#10;&#10; d =  \sqrt{3600 + 3600}&#10;&#10;d = \sqrt{2*3600}&#10;&#10;d = 60\sqrt{2}&#10;
 Answer:
 
from home to second ​base it is about:
 d = 60\sqrt{2} feet
3 0
3 years ago
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