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2 years ago

Solve for x and then find the measure of

Mathematics

2 answers:

bonufazy [111]2 years ago

7 0

The answer should be 150

GalinKa [24]2 years ago

4 0

Answer:

Step-by-step explanation:

<A and <B are alternate interior angles.

So, <A = <B

plugging the values

$8x - 10 = 3x + 90$

Move variable to L.H.S and change it's sign.

Similarly, Move constant to R.H.S and change it's sign

$8x - 3x = 90 + 10$

Collect like terms

$5x = 90 + 10$

Calculate the sum

$5x = 100$

Divide both sides of the equation by 5

$\frac{5x}{5} = \frac{100}{5}$

Calculate

$x = 20$

Now, Let's find the measure of <B

$< b = 3x + 90$

Plugging the value of X

$= 3 \times 20 + 90$

Calculate the product

$= 60 + 90$

Calculate the sum

$=150$

Hope this helps...

Best regards!!

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11=-5q+1 what dose it equal-5q+1 what dose q equal

S_A_V [24]

Answer:

The answer is q=-2.

Step-by-step explanation:

You must get q by its self so if you subtract 1 to both sides, you'll get 10=-5q. Now you must divide -5 on both sides to get q by its self. Now, you have -2=q.

6 0

3 years ago

Pleaseeee help me....Use the Law of Sines to solve the triangle. Round your answers to two decimal places.

alexira [117]

Answer:

a = 1.11
B = 105.4°
c = 2.95

Step-by-step explanation:

B = 180 -A -C = 105.4 . . . . sum of angles in a triangle is 180°

The missing side lengths can be found from the Law of Sines:

a/sin(A) = c/sin(C)

a = c·sin(A)/sin(C) = 2.46·sin(21.2°)/sin(53.4°) ≈ 1.11

Likewise, ...

b = c·sin(B)/sin(C) = 2.46·sin(105.4°)/sin(53.4°) ≈ 2.95

7 0

3 years ago

Please help me! And please no scam answers

Yuri [45]

Answer:

Average rate of change: $-3$

Step-by-step explanation:

<u>Remember:</u>

The average rate of change of a function over an interval $[a,b]$ is $\frac{f(b)-f(a)}{b-a}$

<u>Given:</u>

$[a,b]=[1,7]$

$f(b)=f(7)$

$f(a)=f(1)$

<u>Calculation:</u>

$f(b)=f(7)=-(7)^2+5(7)+14=-49+35+14=-49+49=0$

$f(a)=f(1)=-(1)^2+5(1)+14=-1+5+14=4+14=18$

$\frac{f(b)-f(a)}{b-a}=\frac{0-18}{7-1}=\frac{-18}{6}=-3$

Therefore, the average rate of change of the function $g(x)=-x^2+5x+14$ over the interval $1\leq x\leq7$ is $-3$ .

6 0

2 years ago

Question 2 help please

m_a_m_a [10]

Answer:

The measure of the vertex angle is 94 degrees ⇒ A

Step-by-step explanation:

In any triangle, the sum of the measures of its interior angle is 180°

In the isosceles triangle, the two base angles are equal in measures

∵ In an isosceles triangle, the measure of the base angle = (2x + 5)

∵ The base angles of the isosceles triangles are equal in measures

∴ The measures of the base angles are (2x + 5), (2x + 5)

∵ The measure of the vertex angle = (5x - 1)

∵ The sum of the measure of the three angles = 180°

∴ (2x + 5) + (2x + 5) + (5x - 1) = 180

→ Add the like terms in the left side

∵ (2x + 2x + 5x) + (5 + 5 + -1) = 180

∴ 9x + 9 = 180

→ Subtract 9 from both sides

∴ 9x + 9 - 9 = 180 - 9

∴ 9x = 171

→ Divide both sides by 9 to find x

∴ x = 19

→ Substitute the value of x in the measure of the vertex angle to find it

∵ The measure of the vertex angle = 5x - 1

∴ The measure of the vertex angle = 5(19) - 1

∴ The measure of the vertex angle = 95 - 1

∴ The measure of the vertex angle = 94°

∴ The measure of the vertex angle is 94 degrees

6 0

3 years ago

Compare using >, <, or =.<br><br> 3 miles_5,000 yards

lina2011 [118]

Answer:

3 miles = 5280 yds

5280 yds > 5,000 yds

in this case 3 miles is greater than 5,000 yards

4 0

2 years ago