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Juli2301 [7.4K]
3 years ago
15

PQRS is a quadrilateral. <PQR = (7x-2) PSR = (5x+14) what is the measure of angles PQR and PSR?

Mathematics
1 answer:
sashaice [31]3 years ago
3 0

Answer:

54 degrees

Step-by-step explanation:

The angles are congruent, so you can set them equal to each other.

7x-2=5x+14

add 2 to the right side, subtract 5x to the left side

Simplifies to 2x=16

x=8

then you plug 8 into either equation since they're the same

7(8)-2 = 56-2 = 54


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20 POINTS PLEASE HELP QUICKLY!!
SIZIF [17.4K]

Answer:

They will each have saved $70.

Jessica is saving at a faster rate than Raphael.

The rate at which Jessica is adding to her savings is $4 per week more than the rate at which Raphael is adding to his savings.

Step-by-step explanation:

The formula for Jessica’s savings is

y = 10x + 20

She is saving at the rate of $10/wk .

From Raphael’s table, he started with $40 and is saving at the rate of $6/wk.

The formula for Raphael’s savings is

y = 6x +40

When the two savings are equal

10x + 20 = 6x + 40     Subtract 20 from each side

       10x = 6x + 20     Subtract 6x from each side

        4x = 20              Divide each side by 4

          x = 5

Their savings will be equal after five weeks.

=====

After five weeks , Jessica will have saved

y = 10×5 + 20  

y = 50 + 20

y = $70

Raphael has also saved $70.

=====

Jessica is saving at a faster rate than Raphael.

She is saving at the rate of $10/wk, while he is saving at the rate of $6/wk.

The rate at which Jessica is adding to her savings is $4/wk more than the rate at which Raphael is adding to his savings.

The red line in the graph shows that Jessica starts with $20. After five weeks, she has caught up to Raphael, who also has $70 after five weeks.  

6 0
3 years ago
A school baseball team earned $3416.90 from selling 5716 tickets to their game. If grandstand tickets sold for 65 cents each and
Nataly [62]
Let g and b represent the numbers of grandstand and bleacher tickets sold.
.. g + b = 5716 . . . . . . . . . total number of tickets sold
.. 65g +40b = 341690 . . value of tickets sold

Using the first equation
.. g = 5716 -b
Sustituting into the second equation
.. 65(5716 -b) +40b = 341690
.. -25b + 371540 = 341690 . . . . . collect terms
.. -25b = -29850 . . . . . . . . . . . . . . subtract 371540
.. b = 1194 . . . . . . . . . . . . . . . . . . . . divide by -25

1194 bleacher tickets were sold.
6 0
3 years ago
10 points for this question!!!!!! Please answer like
alexdok [17]
Box one ratios
Box two 35:2= 70:4

7 0
2 years ago
Write an equation for the line that passes through (1, 4) and (0, 8)
inn [45]
The way i did that in middle school was plot the points then find the slpoe and work it out from there
3 0
3 years ago
Read 2 more answers
0.25(8)+0.15x=0.35(20+x)
IRINA_888 [86]
X=-25 is the answer.
3 0
3 years ago
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