All categories

3 years ago

What is value of x? Please help! Will reward

Mathematics

2 answers:

Phantasy [73]3 years ago

7 0

The answer that I got is x=50

vazorg [7]3 years ago

5 0

x = 50

The angles shown are vertically opposite and thus equal

so 3x - 30 = 2(x + 10)

3x - 30 = 2x +20

subtract 2x from both sides

3x - 2x - 30 = 20

x - 30 = 20

add 30 to both sides

x = 20 + 30 = 50

You might be interested in

Alyssa saw 48 birds in a tree. How many dozen birds did Alyssa see?

Kamila [148]

4 dozen, he’s right ^

8 0

3 years ago

I don’t know how to do this question pls help

sineoko [7]

Answer:

Step-by-step explanation:

Triangle P is mapped onto Q so P is the initial triangle that will transformed.

We can rotate counterclockwise 90° but we cannot do it about the origin (0,0) because the red point (5, 1) will end up at ( -1, 5) .

We see that the point (5, 1) ends up at ( -2, 4) so the center of rotation is lower than the origin.

The transformation is rotation of 90° about the point (0,-1)

5 0

3 years ago

What is the value of x which proves that the runways are parallel? What is the measure of the larger angle?

makkiz [27]

Answer:

118°

Step-by-step explanation:

When two parallel lines are cut by a tranversal, then the exterior angles are supplimentary and the corresponding angles are congruent.

Therefore the angle above (15x - 17)° is also (5x + 17)° and the angle below (5x + 17)° is also (15x - 17)°.

Angles on a straight line adds up to 180°. So to know the measure of the larger angle we must both equations and equal it to 180° to find x in order to know the larger angle.

(5x + 17) + (15x - 17) = 180

5x + 15x + 17 - 17 = 180

20x = 180

20x/20 = 180/20

x = 9°

Nkw let's substitute x = 9 into the equations

5x + 17 =

5(9) + 17 =

= 62°

15x - 17 =

15(9) - 17 =

= 118°

Both equations should add up to be 180°.

Therefore the measure of the largest angle is 118°.

6 0

3 years ago

Given the following functions f(x) and g(x), solve f over g (−5) and select the correct answer below: f(x) = 2x − 20 g(x) = x −

Irina-Kira [14]

-5/2 is the answer .

3 0

4 years ago

Read 2 more answers

Solve for the following equation step by step and justify your steps when using an exponential property.

mel-nik [20]

x = $\frac{5}{7}$

using the ' laws of exponents '

• $a^{m}$ × $a^{n}$ = $a^{( m + n )}$

• $a^{m}$ ÷ $a^{n}$ = $a^{(m - n)}$

• ( $a^{m}$ )^n = $a^{mn}$

$7^{2}$ × $7^{3}$ = $7^{5}$ ÷ $7^{3x}$ = $7^{5 - 3x}$

$7^{4x}$ = $7^{5 - 3x}$

equating the exponents since bases on both sides are 7

4x = 5 - 3x

7x = 5 ⇒ x = $\frac{5}{7}$

4 0

3 years ago