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3 years ago

What is the value of x? (Only type the numerical value. Do not type x= before your answer)

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

4 0

ANSWER

EXPLANATION

Two expressions for the angles in terms of x are given,

The first one is (10x-20)°

The second one is (6x+8)°

The two angles are angles on a straight line.

The sum of angles on a straight line is 180°.

This implies that,

$(10x - 20) \degree + (6x + 8) \degree = 180 \degree$

Group similar terms,

$10x + 6x= 180 + 20 - 8$

Combine like terms:

$16x=192$

$x = \frac{192}{16} = 12$

Therefore the value of x is 12

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I got 2 questions.

alexandr402 [8]

Answer:

1. In triangle ABC,

AC = a = 10, BC =b= 7 and ∠ C = 90°

By cosine law,

$AB^2 = 7^2 + 10^2 - 2\times 7\times 10 cos 90^{\circ}$

$AB^2 = 49 + 100 - 0$

$AB^2 = 149$

$AB= \sqrt{149}$

Now, by the law of sine,

$\frac{sin B}{10} = \frac{sin90^{\circ}}{\sqrt{149} }$

$sin B = \frac{10}{\sqrt{149} }$

$\angle B = 55.0079798014\approx 55.008^{\circ}$

2. In triangle ABC,

∠B = 30°, AB=c=10 and ∠C = 90°

∠A = 180°-(30+90)°=60°

$\frac{AC}{10}=sin30^{\circ}$

⇒ $AC = \frac{10}{2} = 5$

By Pythagoras,

$CB^2 = AB^2 - AC^2=10^2 - 5^2 = 100 - 25 = 75$

⇒ $CB = \sqrt{75} =8.66025403784\approx 8.66$

6 0

4 years ago

Read 2 more answers

Find the perimeter of the figure. AND I'LL MAKE YOU THE BRAINIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

abruzzese [7]

9514 1404 393

Answer:

97 cm

Step-by-step explanation:

The perimeter is the sum of the side lengths. Starting from the upper left corner and working clockwise, the side lengths are ...

10 +3 +33 +15 +33 +3 = 25+2(36) = 97 . . . cm

The perimeter of the figure is 97 cm.

6 0

3 years ago

how do i answer this The school play includes 60 students. 3/5 of the students are actors. The rest of the students work behind

artcher [175]

1/5 equals 12 so 12 times 5 is 60 so
a=36
b=24
Your welcome

8 0

3 years ago

Help me pls.........

murzikaleks [220]

Answer:

-250

Step-by-step explanation:

$- 2(5)^{ \frac{(9)}{3} } \\ - 2(5)^{3} \\ - 2(125) \\ - 250$

hope that makes sense

6 0

3 years ago

Jesse buys a necklace that is on sale for 25% off the original price is 119.50 if tax is 7% what is the total price that Jesse w

trapecia [35]

Answer:

$95.89875

Step-by-step explanation:

The original price of the necklace is 119.5. And we are subtracting 25% from this. 119.5 - 25% = 119.5 - 1/4 since 25% is 25/100 which is also 1/4.

So without tax, the price of the necklace is 119.5 - 29.875 which is 89.625.

The tax is 7%. So we should add 89.625 to 7%. This is complicated, but it should result in 95.89875.

If we round this to the nearest cent, it should be <em>$95.9</em>.

6 0

3 years ago