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antoniya [11.8K]
2 years ago
10

The following figures are not drawn to scale but AB and CD are straight lines. Find x.

Mathematics
2 answers:
leonid [27]2 years ago
7 0
Answer:

x = 30

Step-by-step explanation:

2x + 90° + x = 180°

3x + 90° = 180°

3x = 90°

x = 90/3

x = 30
PSYCHO15rus [73]2 years ago
4 0

Answer:

30

Step-by-step explanation:

90° + x + x+ x = 180  {Straight line angles}

90 + 3x = 180

Subtract 90from both sides

3x = 180- 90

3x = 90

Divide both sides by 3

x = 90/3

x = 30

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(8x + 11) - (7x - 5)?​
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Answer:

use the cymath calculator

Step-by-step explanation:

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X^2-24 is the answer
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In triangle PQR, PR = 23mm, QR = 39mm, and m&lt;R = 163 degrees. Find the area of the triangle to the nearest tenth.
Schach [20]

Answer: 131.1287 square mm (approx)

Step-by-step explanation:

The area of a triangle,

A=\frac{1}{2} \times s_1\times s_2\times sin \theta

Where s_1 and s_2 are adjacent sides and \theta is the include angle of these sides,

Here PR and QR are adjacent sides and ∠R is the included angle of these sides,

Thus, we can write,

s_1 = PR= 23\text{ mm}, s_2=QR=39\text{ mm} and \theta = 163^{\circ},

Thus, the area of the triangle PQR,

A=\frac{1}{2} \times 23\times 39\times sin163^{\circ}

A=\frac{262.257419136}{2} = 131.128709568\approx 131.1287\text{ square mm}

5 0
3 years ago
Pls help me !!!!!!!!!!!!!!!!!!!!!!!!
Vikentia [17]

Answer:

9.89 m

Step-by-step explanation:

AC is the hypotenuse (H)

x is the opposite (O)

O and H are in sine

sin=O/H

H=O/sin

H=7.9/sin(53)

=9.89187169943418

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9.89 m

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3 years ago
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Doug took 180 photos during his vacation. He took 2/3 of photos during
pogonyaev

<u>Answer:</u>

66 pictures

<u>Step-by-step explanation:</u>

180 ÷ 3 = 60      60 x 2 = 120

120 = 2/3. He took <em><u>120 pictures on the first day </u></em><em><u>of his vacation.</u></em>

120 ÷ 4 = 30    30 x 1 = 30

30 = 1/4. <em><u>He took </u></em><em><u>30 pictures of landscapes</u></em>

120 ÷ 10 = 12     12 x 3 = 36

0.3 = 36. <em><u>He took </u></em><em><u>36 pictures of people.</u></em>

36 + 30 = 66 pictures.

<em><u>He took 66 pictures of landscapes and people.</u></em>

Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

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