All categories

2 years ago

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:

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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Answer:

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Step-by-step explanation:

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In triangle PQR, PR = 23mm, QR = 39mm, and m<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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3 years ago

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

pogonyaev

Answer:

66 pictures

Step-by-step explanation:

180 ÷ 3 = 60 60 x 2 = 120

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

120 ÷ 4 = 30 30 x 1 = 30

30 = 1/4. He took 30 pictures of landscapes

120 ÷ 10 = 12 12 x 3 = 36

0.3 = 36. He took 36 pictures of people.

36 + 30 = 66 pictures.

He took 66 pictures of landscapes and people.

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

-Bee~

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2 years ago