Create an equation to solve for x using the trapezoid midsegment formula:

Answer:

x =18 , z =77

Step-by-step explanation:

Vertically Opposite Angles,

[tex]8x - 41 = 7x - 23 \\ 8x - 7x - 41 = - 23 \\ x - 41 = - 23 \\ x = - 23 + 41 \\ x = 18[/tex]

Since angle x and angle 7x-23 lies on the same straight line,

[tex]z + 7x - 23 = 180[/tex]

Substitute x = 18 into the equation,

[tex]z + 7(18) - 23 = 180 \\ z + 126 - 23 = 180 \\ z = 180 - 126 + 23 \\ z = 77[/tex]

Answer:

4.5

Step-by-step explanation:

I do RSM

Answer:

Step-by-step explanation:

5x - 3 = 2(3x - 5)

5x - 3 = 6x - 10

6x - 5x = 10 - 3

x = 7

QS = 3(7) - 5 = 16 units

PR = 5 × 7 - 3 = 32 units

Answer:

26

Step-by-step explanation:

10+(10x3)-2(10-3)=

10+30+-2(7)=

40-14=

26

Answer:

f(x) = r - 5x + 10

f(-5)=r-5×-5+10=r+25+10=r+35

Step-by-step explanation:

here's your solution

=> (x^2 - 7) (x^2 - 4)

=> x^2(x^2 - 4) - 7(x^2 - 4)

=> x^4 - 4x^2 - 7x^2 + 28

=> x^4 - 11x^2 + 28

hope it helps

Answer:

4 years

Step-by-step explanation:

Given data

Principal P=$5000

Rate r= 7.5%

Final amount A=$6500

The expression for the simple interest is

A=P(1+rt)

Substitute

6500=5000(1+0.075*t)

6500=5000+375t

6500-5000=375t

1500=375t

t= 1500/375

t= 4 years

Hence, the time is 4 years

Answer:

D. m<0

Step-by-step explanation:

When there is negative correlation the line of best fit has a negative slope and the slope equation is y=mx+b where m determines direction.

Answer:

x = 129

Step-by-step explanation:

86/48 = x/72

6192 = 48x

x = 129

Answer:

b) 95

Step-by-step explanation:

equation:

3 x 30 + 5

solve:

3 x 30 + 5 = 95

Answer:

50

Step-by-step explanation:

I copied it from someone

Answer:   5

Step-by-step explanation:

guess

Answer:

D

Line segments are congruent due to the side-angle-side congruence postulate.

Step-by-step explanation:

DC is the perpendicular bisector of line AB, this mean that DC divides AB at 90 degrees into two equal parts at point E. Hence:

AE = BE

Also DE ≅ DE (reflexive property of congruence)

Also ∠AED = ∠BED = 90° (perpendicular bisector)

We can therefore say that triangle AED and triangle BED are congruent according to the side-angle-side congruence theorem. Therefore line AD = line BD

8 dogs so 5*8= 40

so it's D

Answer:

384 cubic units

Step-by-step explanation:

The computation of the volume of the prism is shown below:

As we know that

The volume of the rhombus is

V = Base × height

where,  

B = D₁D₂ ÷ 2

= (6)(8) ÷ 2

= 24 units squared

Now the volume of the prism is  

V = (24)(16)

= 384 cubic units

Answer:

384 cubic units

Step-by-step explanation:

Answer:

15 pounds because 30/2 is 15

Answer:

711.11

Step-by-step explanation:

If 777  is decreased by 12%. the number would now be (100% - 12%) 88% of what it was originally

0.88 x 777 = 683.76

683.76 is increased by 4%.  683.76 would now be (100 + 4%) 104% of what it originally was

683.76 x 1.04 = 711.11

12% x 777 =

0.12 x 777 = 93.24

777 - 93.24 = 683.76

4% x 683.76 = 27.3504

683.76 + 27.3504 = 711.11

Answer:

-1

Step-by-step explanation:

We can use the slope formula when given two points

m= ( y2-y1)/(x2-x1)

   = ( 3-7)/(2 - -2)

   = (3-7)/( 2+2)

   = -4/4

    = -1

Answer:

45°

Step-by-step explanation:

90 + 2(45) = 180

90 + 2(25) ≠ 180

90 + 2(80) ≠ 180

90 + 2(90) ≠ 180

Answer: Pythagorean theorem

Step-by-step explanation: cannot see the rectangle but I assume it’s the Pythagorean theorem

The sum of the area of all the rectangles will be 2a + 3a + 4a.

A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.

Given:

The large rectangle has length a and width (2 + 3+ 4)

Area of the rectangle = L×W square units

A = a  (2 + 3+ 4)

A = 2a + 3a + 4a

Therefore, the area of the large rectangle is 2a+3a+4a

To learn more about the rectangular;

brainly.com/question/21416050

#SPJ2

Answer:

-36/6 is equal to -6

The first step is to divide -36/6 by the denominator, 6.

-36/6 ÷ 6 = -6/1 or -6

Answer:

No

Step-by-step explanation:

I don't think that's how those specifc diagrams work. X in this case would be 3 not seven.

Yes you can move the x and the 1s but it would break the whole diagram. It would just be an (expression/term). Not a full diagram.

You said this was 7th grade math? Wow. I learned this in 5th grade!

Answer:

He is incorrect.  This is because the expression he has right now is x+2=5, making x=3.  So if he adds 2 to the right then it's wrong because it would be 3=7.

Step-by-step explanation:

Answer:

1/25

Step-by-step explanation:

You have to add all of the supplies.

5 pencils + 6 pens + 3 glue sticks + 1 marker = 15 supplies

Put 3 over 15, since fractions are part over whole.

Now you have to simplify 3/15, which is 1/5.

Then you multiply 1/5 by 1/5 since he is trying twice, and this will give you 1/25.

the answer is a 4.33......

Answer:

-3 < x < 3

Step-by-step explanation:

Answer:

500/7=intrest rate/account savings=_________

Step-by-step explanation:

Answer:

B

Step-by-step explanation: