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IRISSAK [1]
3 years ago
5

Factor the expression completely.

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

 -9.75 + 3.25x

= -3.25(3) + 3.25(x)

= -3.25(3)  -  -3.25(x)     <em>notice they have the same factor of -3.25</em>

= -3.25(3 - x)

Answer: A


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In the figure above, PQRS is a circle. If PQT and SRT<br>are straight lines, find the value of x.
Elena L [17]

Given:

PQRS is a circle, PQT and SRT  are straight lines.

To find:

The value of x.

Solution:

Since PQRS is a circle, PQT and SRT  are straight lines, therefore, PQRS isa cyclic quadrilateral.

We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.

m\angle SPQ+m\angle QRS=180^\circ

81^\circ+m\angle QRS=180^\circ

m\angle QRS=180^\circ-81^\circ

m\angle QRS=99^\circ

Now, SRT  is a straight line.

m\angle QRT+m\angle QRS=180^\circ             (Linear pair)

m\angle QRT+99^\circ=180^\circ

m\angle QRT=180^\circ-99^\circ

m\angle QRT=81^\circ               ...(i)

According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.

Using exterior angle theorem in triangle QRT, we get

m\angle PQR=m\angle QRT+m\angle QTR

x=81^\circ+22^\circ

x=103^\circ

Therefore, the value of x is 103 degrees.

4 0
3 years ago
Can somebody tell me what the answer to y-13=8 is? Please and thank you.
makvit [3.9K]

Answer:

Y=21

Step-by-step explanation:

add 13 on both sides you get Y=21

4 0
2 years ago
10 - 7w - 13 - 7w + 15
Debora [2.8K]

Answer:

-14w+12

Step-by-step explanation:

10 - 7w - 13 - 7w + 15

Combine like terms

- 7w  - 7w + 10-13+15

-14w+12

4 0
2 years ago
Find the value of two numbers if their sum is 32 and their difference is 14.
OverLord2011 [107]
23 and 9 are the two numbers

Explanation:

x = one number
y = other number

x + y = 32 {sum of two numbers is 32
x - y = 14 {difference is 14}
-----------
2x = 46 {added the two equations together}
x = 23 {divided both sides by 2}

x + y = 32 {top equation}
23 + y = 32 {substituted 23, in for x, into top equation}
y = 9 {subtracted 23 from both sides}

23 and 9 are the two numbers
4 0
3 years ago
Solve the system using elimination: Help me please<br><br><br>12x - 8y = -12 <br><br>6x + 4y = -30
LUCKY_DIMON [66]

12x - 8y = -12  

6x + 4y = -30

Multiply the 2nd equation by 2, to make the Y coefficients opposite:

6x + 4y = -30 x 2 = 12x + 8y = -60

Now add the two equations:

12x -8y = -12 + 12x +8y = -60

=  24x = -72

Divide bothe sides by 24 to solve for x:

x = -72/24

x = -3

Now replace x with -3 in the first equation to solve for y:

12(-3) - 8y = -12

-36 - 8y = -12

Add 36 to each side:

-8y = 24

Divide both sides by -8 to solve for y:

y = 24 / -8

y = -3

X = -3 and y = -3

(-3,-3)

4 0
3 years ago
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