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tatuchka [14]
1 year ago
12

In the figure below, mROP = 125°.

Mathematics
1 answer:
Hunter-Best [27]1 year ago
5 0

Step-by-step explanation:

step 1. mPOS = 180 - 125 = 55° (supplementary angles)

step 2. mQOS = 125° (vertical angles)

step 3. mQOR = 55° (supplementary angles).

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Triangle SQT is isosceles. The measure of angle STQ is 48°. Triangle S Q T is cut by perpendicular bisector T R. The lengths of
igomit [66]

Answer:

m\angle STR=24^o

Step-by-step explanation:

we know that

m\angle STQ=m\angle STR+m\angle RTQ ---> by addition angle postulate

we have

m\angle STQ=48^o ----> given problem

m\angle STR=m\angle RTQ ----> given problem

substitute in the expression above

48^o=2m\angle STR

Divide by 2 both sides

m\angle STR=24^o

3 0
2 years ago
Read 2 more answers
Given the similarity statement ΔDEF ∼ ΔXYZ, which side corresponds with ED¯¯¯¯¯¯¯¯? Question 2 options: A) EF¯¯¯¯¯¯¯¯ B) ZY¯¯¯¯¯
avanturin [10]

Answer:

Option C.

Step-by-step explanation:

The given similarity statement is

\Delta DE F\sim \Delta XYZ

We need to find the side which is corresponds with ED.

According to the given similarity statement the pairs of corresponding sides are:

DE\text{ and }XY\Rightarrow ED\text{ and }YX

EF\text{ and }YZ\Rightarrow FE\text{ and }ZY

DF\text{ and }XZ\Rightarrow FD\text{ and }ZX

Since, YX is corresponds with ED, therefore, the correct option is C.

6 0
1 year ago
Venita is factoring the expression 32 a b minus 8 b. She determines the GCF and writes the factored expression as 8 b (4 a minus
never [62]

Answer:

She subtracted the GCF from the second term in the expression instead of dividing.

Step-by-step explanation:

Given the expression 32ab-8b, to find the common greatest factor, we will bring out a function that us common to both terms 32ab and 8b. To do that, we need to first find their individual factors as shown:

32ab = (2×2×2)×2×2×a×(b)

8b = (2×2×2×b)

From both factors, the common terms are the values in parenthesis i.e 2×2×2×b = 8b

Hence the GCF of the expression 32ab - 8b is 8b. On factoring out 8b from the expression we will have;

= 32ab - 8b

= 8b(32ab/8b - 8b/8b)

= 8b(4a-1)

Comparing the gotten equation with Venita's own, 8b(4a-0), we can say that she correctly factored out the GCF but her error was that she subtracted 8b from the second term of the expression instead of dividing by 8b. 8b-8b is what gives her 0 making her expression wrong. She should have divided her second term also by 8b to have 8b/8b which results in 1 instead of 0 that venita got.

7 0
1 year ago
Read 2 more answers
Please help me on this question
Serggg [28]
    -4 = 8m + 18n
-18n = 8m + 4
 /-18    /-18  /-18
     n = 8m/-18 + 4/-18
     
I'm not sure so yeah
7 0
2 years ago
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A bank says you can double your money in 8 years if you put $2,000 In a simple interest account. what annual interest rate does
Monica [59]
A = P*r*t
A = overall value
P = principal (initial value)
r = annual interest
t = time (in years)

Plug in what we have:
4000 = 2000*r*8
Simplify:
0.25 = r
The annual interest is 25%
5 0
1 year ago
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