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krok68 [10]
3 years ago
13

1. 40° 2. 65° 3.75° 4.90°

Mathematics
1 answer:
nataly862011 [7]3 years ago
4 0

Answer:

option 3.75°

Step-by-step explanation:

we know that

If two triangles are similar, then the corresponding angles are congruent

so

In this problem

The corresponding angles are

m∠A and m∠D, m∠B and m∠E, m∠C and m∠F

so

m∠A=m∠D

m∠B=m∠E

m∠C=m∠F

therefore

m∠F=75°

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Divide 33 photos into two groups so that the ratio is 4 to 7
Andre45 [30]
Total ratio = 4+7 = 11
33/11 = 3
4x3 = 12
7x3 = 21
so the two groups are 12:21
which is also = 4:7
3 0
3 years ago
RS = 4x – 9, ST = 19, RT = 80 – 14<br><br> Equation:<br><br> 82 – 14<br><br> RS<br><br> RT
algol13

Step-by-step explanation:

The expressions are not properly written

Given

RS = 4x – 9

ST = 19

RT = 8x – 14

Based on the given parameters, the addition postulate below is true

RS+ST = RT

Substitute

4x-9+19 = 8x-14

collect like terms

4x-8x = -14-19+9

-4x = -33+9

-4x = -24

x = -24/-4

x = 6

Get RS:

RS = 4x-9

RS = 4(6)- 9

RS = 24-9

RS = 15

Get RT:

RT = 8x - 14

RT = 8(6)-14

RT = 48-14

RT = 34

4 0
3 years ago
Please help me
kirza4 [7]
This is a hexagonal prism: Volume = Area of Base (hexagon) x Height:
There are 6 equal equilateral triangles in a hexagone.
The apothem (or altitude of each triangle) = side x (√3)/2 =12(√3)/2 = 6√3
Area of ONE equilateral triangle = (side x altitude)/2:
Area of ONE equilateral triangle = (12 x 6√3)/2 = 36√3 ft²
Area of the SIX equilateral triangles = 36√3 x 6 = 216√3 ft²
VOLUME = BASE X HEIGHT = 216√3 x 15 = 3240√3 ft³

OR VOLUME = 5612 ft³

6 0
3 years ago
Joshua's assignment this weekend is to read a book with seventy-four pages. On Saturday he read thirty pages. How many pages doe
Allushta [10]

Answer:

61

Step-by-step explanation:

he read first 74 and need to

= 74-30

=44

8 0
2 years ago
<img src="https://tex.z-dn.net/?f=27%20%5Ctimes%20%5Cpi%20%3D%20%5Cpi%20%5Ctimes%2027" id="TexFormula1" title="27 \times \pi = \
Tju [1.3M]

I'm not sure what the question is here. If an answer is communicative property, go with that. If it is asking for \pi x 27, the answer is about 84.8230016469.

6 0
3 years ago
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