All categories

3 years ago

Solve for x and y then find angle ABE

Mathematics

1 answer:

Soloha48 [4]3 years ago

5 0

Answer: x is 9° , y is 21°. The measure of angle ABE is 48°.

Step-by-step explanation:

First we will solve for x.

The variable x appears in the angle 8x + 18 and that angle is a right angle.

Right angles have the measure of 90 degrees so we will set the angle equal 90 and solve for x.

8x + 18 = 90 Subtract 18 from both sides

- 18 -18

8x = 72 divide both sides by 8

x = 9

y is also on the right side and the combination of both angles has to also equal 90 degrees because they form a right angle.

Since we already know x is 9 we will input it into the left side for x and solve for y.

y + 3(9) + 2y = 90

3y + 27= 90

-27 -27

3y = 63

y = 21

Now we need to find the measure of angle ABE.

ABE is represented by y + 3x so since we know the value of y and x we will input it into the expression and solve for the angle.

21 + 3(9) = m∠ABE

21 + 27= m∠ABE

48 = m∠ABE

This means the measure of angle ABE is 48°

You might be interested in

Completing the square

kogti [31]

Please provide a square, thank you !!!

8 0

3 years ago

Plz answer ASAP with work ty!

horsena [70]

Answer: $8\sqrt{6}$

Step-by-step explanation:

$\frac{2^4\sqrt{3}}{\sqrt{2}}$

$2^{\frac{7}{2}}\sqrt{3}$

$2^{\frac{7}{2}}=2^{3+\frac{1}{2}}$

$2^3\cdot \:2^{\frac{1}{2}}$ =

$2^3\sqrt{2}$

= $2^3\sqrt{2}\sqrt{3}$ =

$2^3\sqrt{2\cdot \:3}$

= $2^3\sqrt{6}$

$2^3=8$

Answer- $8\sqrt{6}$

7 0

3 years ago

How many groups of 1 2/3 are in 4 1/3

Olegator [25]

Answer:

2. can not be 3 bc it would 5

Step-by-step explanation:

3 0

2 years ago

The video club to which Lin belongs allows her to receive one free DVD for every three DVDS she rents. If she pays $3 for each D

Nesterboy [21]

Answer:

Step-by-step explanation:

Given:

On every 3 DVDs she rents, 1 DVD is received for free

Rent of each DVD = $3

Total amount paid = $114

Now,

The total number of DVDs she took on rent = $\frac{\textup{Total amount paid}}{\textup{Rent of each DVD}}$

The total number of DVDs she took on rent = $\frac{\textup{114}}{\textup{3}}$

The total number of DVDs she took on rent = 38

also,

For every 3 DVDs she gets 1 Free DVD

thus,

For every 1 DVD she gets $\frac{\textup{1}}{\textup{3}}$ free DVD

therefore,

For 38 DVD she gets $\frac{\textup{38}}{\textup{3}}$ free DVD

she gets 12.67 DVDs free

Since,

the DVDs cannot be given in fraction

Hence she will get 12 free DVDs

5 0

3 years ago

Which answer choice states the range of the following

ankoles [38]

<h2>Explanation:</h2><h2></h2>

Hello! Remember you have to write complete questions in order to get good and exact answers. Here you forgot to write the relation so I could help you providing my own relation.

Remember that for any relation, we have a set $A$ that matches the the domain (also called the set of inputs) of the function and the set $B$ that contains the range (also called the set of outputs).

Suppose our relation is:

$y=-10+x \\ \\ For \ x=1,2,3,4,5$

So the x-values represents the set A and the y-values the set B. Therefore, by evaluating the x-values into our relation we get:

$\text{If x=1} \\ \\ y=-10+1=-9 \\ \\ \\ \text{If x=2} \\ \\ y=-10+2=-8 \\ \\ \\ \text{If x=3} \\ \\ y=-10+3=-7 \\ \\ \\ \text{If x=4} \\ \\ y=-10+4=-6 \\ \\ \\ \text{If x=5} \\ \\ y=-10+5=-5$

So in this context, the correct option is:

B) (-9,-8, -7, -6, -5}

6 0

3 years ago