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crimeas [40]
3 years ago
13

What is the lenght of PR

Mathematics
2 answers:
Yuki888 [10]3 years ago
7 0
Yes it is number 6 for this
katen-ka-za [31]3 years ago
5 0

Answer:

B.  6

Step-by-step explanation:

The triangles are similar by AA Similarity.

The lengths of corresponding sides of the triangles are proportional.

AB/PQ = AC/PR

20/5 = 24/PR

4 = 24/PR

4PR = 24

PR = 6

Answer: PR = 6

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Straight angles Are extremely important in geometry. When two lines intersect , they form multiple angles. In the diagram below,
rusak2 [61]
When two straight lines intersect, the vertical opposite angles intersect. the other two angles are also equal. Let the known angle be x, then the other two adjacent angles are obtained subtracting twice of x from 360 and dividing the result by 2.

Therefore, the table can by filled as follows:

Row 1:

Given <GEF = 120°

<FEM is adjacent to <GEF, thus
\angle FEM= \frac{360-2(120)}{2} \\ \\ = \frac{360-240}{2} = \frac{120}{2} =60^o

<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <MEH = 120°

<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 60°.



Row 2:

Given <MEH = 150°

<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 150°

<FEM is adjacent to <GEF, thus
\angle GEF= \frac{360-2(25)}{2} \\ \\ = \frac{360-50}{2} = \frac{310}{2} =155^o

<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 30°.



Row 3:

Given that <FEM = 25°

<FEM is adjacent to <GEF, thus
\angle GEF= \frac{360-2(25)}{2} \\ \\ = \frac{360-50}{2} = \frac{310}{2} =155^o

<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 155°

<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 25°.



Row 4:

Given that <HEG = 45°

<HEG is adjacent to <GEF, thus
\angle GEF= \frac{360-2(45)}{2} \\ \\ = \frac{360-90}{2} = \frac{270}{2} =135^o

<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <FEM = 45°

<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 135°.
4 0
3 years ago
Read 2 more answers
What’s equivalent to -60\22
Mila [183]

Answer:

-30/11

Step-by-step explanation:

5 0
3 years ago
Round 126,945 to the nearest ten thousand
Sever21 [200]
126,945 to the nearest ten thousand is 130,000.
7 0
3 years ago
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It wants me to find the degree of FJE and FJH but these confuse me
ELEN [110]
Here, EJI + FJE = 180    [ Linear-Pair Equation ]
FJE + 135 = 180
FJE = 180 - 135
FJE = 45

Now, FJH + FJE = 180  [Linear-Pair Equation ]
FJH + 45 = 180
FJH = 180 - 45
FJH = 135

Hope this helps!
8 0
3 years ago
What is the value of (0.3)4 ?
Alex_Xolod [135]

It's multiplication. Simply multiply 0.3 by 4. How multiplying dedcimals works is that we forgett the decimal until later. So, first we have 3 times 4. What's that? 12. And how many numbers did we have after the decimal? One. So, we hop over one decimal space to receave the answer 1.2. I hope I helped!!!

4 0
3 years ago
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