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Parallelogram Q T S R is shown. Sides Q T and R S are parallel, and sides Q R and T S are parallel. Angle Q is (9 x minus 6) deg

jenyasd209 [6]

Answer:

m<Q = 93 degrees

m<R = 87 degrees

Step-by-step explanation:

Given the following angles;

m<Q = 9x-6

m<R = 8x-1

Looking at Devin's work, we will see that he the sum of both angles is 180 degrees

Hence m<Q + m<R = 180

9x - 6 + 8x - 1 = 180

9x+8x-6-1 = 180

17x - 7 = 180

17x = 180 + 7

17x = 187

x = 187/17

x = 11

Get m<Q

m<Q = 9x - 6

m<Q = 9(11) - 6

m<Q = 99 - 6

m<Q = 93 degrees

Get m<R

m<R = 180 - m<Q

m<R = 180 - 93

m<R = 87degrees

8 0

3 years ago

Read 2 more answers

What is 5 × 5https://vm.tiktok.com/ZMeM6sFQL/

marissa [1.9K]

Answer:

Step-by-step explanation:

5x5 = 10

6 0

3 years ago

Read 2 more answers

Sasha can mow 3/8 of an acre of grass in 45minutes.how many acres of grass does Sasha now per hour?

horrorfan [7]

Keeping in mind that an hour is 60 minutes.

$\bf \begin{array}{ccll}
\stackrel{acre}{grass}&\stackrel{minutes}{time}\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{3}{8}&45\\
g&60
\end{array}\implies \cfrac{\frac{3}{8}}{g}=\cfrac{45}{60}\implies \cfrac{\frac{3}{8}}{\frac{g}{1}}=\cfrac{45}{60}\implies \cfrac{3}{8}\cdot \cfrac{1}{g}=\cfrac{45}{60}
\\\\\\
\cfrac{3}{8g}=\cfrac{45}{60}\implies 180=360g\implies \cfrac{180}{360}=g\implies \cfrac{1}{2}=g$

6 0

3 years ago

Seiji and Gavin both worked hard over the summer. Together they earned a total of $525. Gavin earned $25 more than Seiji. Write

Zepler [3.9K]

Answer:

Part 1) see the explanation

Part 2) The graph in the attached figure

Part 3) The amount earned by Seiji was $250 and the amount earned by Gavin was $275

Step-by-step explanation:

Part 1) Let

s ----> amount earned by Seiji

g ----> amount earned by Gavin

we know that

$s+g=525$ -----> equation A

$g=s+25$ ----> equation B

Part 2) Graph the equations of the system

To graph the lines find out the intercepts

Remember that

The x-intercept is the value of x when the value of y is equal to zero

The y-intercept is the value of y when the value of x is equal to zero

In this problem the s-axis represent the x-axis and the g-axis represent the y-axis

Equation A

Find the s-intercept

For g=0

$s+0=525$ ----> $s=525$

The s-intercept is the point (525,0)

Find the g-intercept

For s=0

$0+g=525$ ----> $g=525$

The g-intercept is the point (0,525)

To graph the line A plot the intercepts and join the points

Equation B

Find the s-intercept

For g=0

$0=s+25$ ----> $s=-25$

The s-intercept is the point (-25,0)

Find the g-intercept

For s=0

$g=0+25$ ----> $g=25$

The g-intercept is the point (0,25)

To graph the line B plot the intercepts and join the points

using a graphing tool

Plot the intercepts both lines and join the points

see the attached figure

Part 3) we know that

The solution of the system of equations is the intersection point both graphs

The solution is the point (250,275)

see the attached figure

therefore

The amount earned by Seiji was $250 and the amount earned by Gavin was $275

3 0

3 years ago

In a survey of 269 college students, it is found that

Degger [83]

Answer: a) 83, b) 28, c) 14, d) 28.

Step-by-step explanation:

Since we have given that

n(B) = 69

n(Br)=90

n(C)=59

n(B∩Br)=28

n(B∩C)=20

n(Br∩C)=24

n(B∩Br∩C)=10

a) How many of the 269 college students do not like any of these three vegetables?

n(B∪Br∪C)=n(B)+n(Br)+n(C)-n(B∩Br)-n(B∩C)-n(Br∩C)+n(B∩Br∩C)

n(B∪Br∪C)= $69+90+59-28-20-24+10=156$

So, n(B∪Br∪C)'=269-n(B∪Br∪C)=269-156=83

b) How many like broccoli only?

n(only Br)=n(Br) -(n(B∩Br)+n(Br∩C)+n(B∩Br∩C))

n(only Br)= $90-(28+24+10)=28$

c) How many like broccoli AND cauliflower but not Brussels sprouts?

n(Br∩C-B)=n(Br∩C)-n(B∩Br∩C)

n(Br∩C-B)= $24-10=14$

d) How many like neither Brussels sprouts nor cauliflower?

n(B'∪C')=n(only Br)= 28

Hence, a) 83, b) 28, c) 14, d) 28.

4 0

3 years ago