All categories

3 years ago

A and B are vertical angles. If m_A = (3x - 30)° and m

Mathematics

1 answer:

Vilka [71]3 years ago

4 0

<h3>Answer: 21</h3>

==================================

Work Shown:

Vertical angles are always congruent.

This means they are equal in measure.

A = B

3x-30 = 2x-9

3x-2x = -9+30

x = 21

--------

Side note:

if x = 21, then,

A = 3*x-30 = 3*21-30 = 33 degrees

B = 2*x-9 = 2*21-9 = 33 degrees

You might be interested in

2x+3-3=-6<br><br><br><br> x=3 ? Solve

ivann1987 [24]

$2(x)+3-3=-6\\2(3)+3-3=-6\\6+3-3=-6\\6=-6\\$

$x\neq 3$

As we can see, x cannot be equal to 3 as 6 cannot equal -6.

I hope I've helped! :)

6 0

2 years ago

The perimeter of a rectangular garden is 43.8 feet. It’s length is 12.4 feet. What is it’s width?

Stells [14]

Answer:

9.5 m

Step-by-step explanation:

If width is -- x

12.4 + x + 12.4 + x = 43.8

2x = 19

x = (19/2)

x = 9.5 m

Thenks and mark me brainliest :))

8 0

3 years ago

Write a system of equations and solve using elimination. Ricardo has two bills. The two bills together are $21. One bill is wort

djyliett [7]

Answer:

The worth of one bill is $20 and the worth of the other bill is $1

Step-by-step explanation:

Let

x----> the worth of one bill

y ---> the worth of the other bill

I assume x > y

we know that

x+y=21 ----> equation A

x=y+19 ---> equation B

Solve the system by elimination

Multiply equation B by -1 both sides

-x=-y-19 ----> equation C

Adds equation A and equation C

x+y=21

-x=-y-19

------------

y=21-y-19

2y=2

y=1

Find the value of x

x=y+19 -----> x=1+19=20

therefore

The worth of one bill is $20 and the worth of the other bill is $1

5 0

3 years ago

Heya!

nataly862011 [7]

Answer:

$m\angle QSN=65^\circ$

Step-by-step explanation:

In the given figure, PQRS is a rhombus and SRM is an equilateral triangle.

We are also given that SN⊥RM and that ∠PRS = 55°.

And we want to find the measure of ∠QSN.

Remember that since PQRS is a rhombus, the angles formed by its diagonals are right angles. Let the intersection point of the diagonals be K. Therefore:

$m\angle RKS=90^\circ$

Now, RKS is also a triangle. The interior angles of all triangles must be 180. Thus:

$m\angle RKS+m\angle KSR+m\angle SRK=180$

Substitute in known values:

$90+55+m\angle KSR=180$

Solve for ∠KSR:

$m\angle KSR+145=180\Rightarrow m\angle KSR=35^\circ$

Since SRM is an equilateral triangle, this means that:

$m\angle SRM=m\angle RMS=m\angle MSR=60^\circ$

Note that RNS is also a triangle. Therefore:

$m\angle SRM+m\angle RNS+m\angle NSR=180$

Substitute in known values:

$60+90+m\angle NSR=180$

So:

$m\angle NSR+150=180\Rightarrow m\angle NSR=30^\circ$

∠QSN is the addition of the two angles:

$m\angle QSN=m\angle KSR+m\angle NSR$

Therefore:

$m\angle QSN=35+30=65^\circ$

4 0

3 years ago

Read 2 more answers

PLEASE HELP THIS IS OVERDUE!!

Genrish500 [490]

Answer:

It is y=2x+4.

Step-by-step explanation:

Alright, so with this question, the slope and y-intercept is needed. First, lets get the y-intercept.

The y-intercept value would be 4 as this is the y value for where the line crosses over this intercept, being the coordinate (0,4).

Next, with the slope, look at where the line crosses over when the x value is 1, the y value is 6, (1, 6).

From this, we can find the slope. What is the climb/fall in the line after moving forward an x value forward? It is going up 2 y values, from 4 to 6. Therefore, the slope is 2.

With this, we can plug in the parts we need to get the final answer:

y = (2 Slope) x + (4 Y-Intercept)

y=2x+4

7 0

3 years ago

Read 2 more answers