Jennifer drove three times as far as David Jennifer drove 48 miles in David how far did Jennifer Drive

Mike who has 6 video games, has half as many games as paul

lana66690 [7]

Paul has 12 video games.

4 0

3 years ago

Read 2 more answers

Please help! I think I have the equation set up.

ExtremeBDS [4]

$\bold{\huge{\underline{ Solution }}}$

<h3>Given :-</h3>

Here, we have given one quadrilateral that is quadrilateral ABCD
We also have given the angles of quadrilateral that is ( 6x + 5)° , ( 9x - 10)° , 80° and a right angle

Here, we have to find the value of x

<h3>Let's Begin :- </h3>

We have given quadrilateral ABCD here , whose angles are as follows

Angle A = ( 6x + 5)°
Angle B = ( 9x - 10)°
Angle C = 80°
Angle D = A right angled triangle

[ The measure of right angled triangle is 90° ]

We know that, 

Sum of the angles of quadrilateral is equal to 360°

That is 

$\bold{\angle{ A + }}{\bold{\angle{B +}}}{\bold{\angle{C + }}}{\bold{\angle{D + = 360{\degree}}}}$

Subsitute the required values 

$\sf{ ( 6x + 5){\degree} + 80{\degree}+ 90{\degree} + (9x - 10){\degree} = 360{\degree}}$

$\sf{ 6x + 5 + 170{\degree} + 9x - 10 = 360{\degree}}$

$\sf{ 15x - 5 = 360{\degree} - 170{\degree}}$

$\sf{ 15x - 5 = 190 {\degree}}$

$\sf{ 15x = 190 {\degree} + 5 }$

$\sf{ 15x = 195 {\degree}}$

$\sf{ x = }{\sf{\dfrac{ 195}{15}}}$

$\sf{ x = }{\sf{\cancel{\dfrac{ 195}{15}}}}$

$\bold{ x = 13 }$

Hence, The value of x is 13 .

$\bold{\huge{\underline{\red{ Verification }}}}$

Measure of Angle A

$\sf{ = (6x + 5){\degree}}$

$\sf{ = (6(13) + 5 ){\degree}}$

$\sf{ = (78 + 5 ){\degree}}$

$\sf{ = 83{\degree}}$

Measure of Angle D

$\sf{ = (9x - 10){\degree}}$

$\sf{ = (9(13) - 10){\degree}}$

$\sf{ = (117 - 10 ){\degree}}$

$\sf{ = 107{\degree}}$

Now, we know that, 

Sum of angles of triangles is equal to 360°

That is, 

$\sf{ 83{\degree} + 80{\degree}+ 90{\degree} + 107 {\degree} = 360{\degree}}$

$\sf{ 163{\degree}+ 90{\degree} + 107 {\degree} = 360{\degree}}$

$\sf{ 253{\degree}+ 107 {\degree} = 360{\degree}}$

$\bold{ 360{\degree} = 360{\degree}}$

$\bold{ LHS = RHS }$

Hence, Proved.

8 0

2 years ago

Mrs. Jones wants to paint a wall but not the door on the wall.

krek1111 [17]

Answer:

129 square feet.

Step-by-step explanation:

10x15= total area of the entire wall.

10x15=150

3x7=total area of the door

3x7=21

150-21=total area of just the wall and not the door.

150-21=129

answer: 129 square feet.

OR

15x3=45

7x6=42

45+42+42=129

(if you wanna know how to do this second method lmk and I can attach a photo of exactly how to do it)

7 0

3 years ago

Read 2 more answers

Find the midpoint of the line segment with the given endpoints. 1) (-8, 3), (-8,-4)

defon

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

$M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} ) \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-8, 3), (-8,-4)

The midpoint is

$M = ( \frac{ - 8 - 8}{2} \: , \: \frac{3 - 4}{2} ) \\ = ( - \frac{16}{2} \: , \: - \frac{1}{2} )$

We have the final answer as

$( - 8 \: , \: - \frac{1}{2} )$

Hope this helps you

4 0

4 years ago

Sue Ellen sews quilts. She charges $45 for fabric and sewing supplies and $20 for each hour,

mars1129 [50]

Answer:

D: 20h + 45 = 165

Step-by-step explanation:

20 for EACH hour means that there's a variable (h) attached to 20 so it has to be 20h

Because of that, we can eliminate choices A and B.

Charges mean that it's ADDED to the price so it has to be 45 PLUS 20h

20h + 45 = 165

7 0

3 years ago