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Nitella [24]
3 years ago
14

The angle measurements in the diagram are represented by the following expressions

Mathematics
1 answer:
alexandr402 [8]3 years ago
4 0

angle A = angle B corresponding angles

8x - 8 = 5x + 25

3x = 33

x = 11

angle B

5x + 25

55 + 25

80°

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A triathlon course includes a 400m swim,a 40.1km bike ride,and a 12.2km run what is the total length of the course
agasfer [191]

Convert the meter distance to KM so thaey are all the same measurement:

1 meter = 0.001 km

400 m x 0.001 m/km = 0.4 km

Now add all three distances:

Total distance = 0.4 + 40.1 + 12.2 = 52.7 km.

The answer is B.

3 0
3 years ago
HELP PLEASE!!
seropon [69]

Answer:

BD = <u>1</u> unit

AD = <u>1</u> unit

AB = <u>1.6</u> units

AC = <u>1.6</u> units

Step-by-step explanation:

In the picture attached, the triangle ABC is shown.

Given that triangle ABC is isosceles, then ∠B = ∠C

∠A + ∠B + ∠C = 180°

36° + 2∠B = 180°

∠B = (180° - 36°)/2

∠B = ∠C  = 72°

From Law of Sines:

sin(∠A)/BC = sin(∠B)/AC = sin(∠C)/AB

(Remember that BC is 1 unit long)

AB = AC = sin(72°)/sin(36°) = 1.6

In triangle ABD, ∠B = 72°/2 = 36°, then:

∠A + ∠B + ∠D = 180°

36° + 36° + ∠D = 180°

∠D =  180° - 36° - 36° = 108°

From Law of Sines:

sin(∠A)/BD = sin(∠B)/AD = sin(∠D)/AB

(now ∠A = ∠B)

BD = AD = sin(∠A)*AB/sin(∠D)

BD = AD = sin(36°)*1.6/sin(108°) = 1

3 0
3 years ago
Which inverse operation would be used to verify the following equation? 102 ÷ 3 = 34
MA_775_DIABLO [31]
An inverse operations is the reverse of the equation. For example, since it's 102 ÷ 3 = 34, to get the inverse you would take the opposite sign of "÷" and make it "×," while changing the equal sign to make the statement true. The inverse operation used to verify this is 102 = 3 × 34
5 0
3 years ago
For f(x) = 2x+1 and g(x) = x2 - 7, find (f+ g)(x).
____ [38]

Answer:

the answer is A. it good answer

5 0
3 years ago
Explain how you got the answer(:
Natali [406]
Hey there :) I'm pretty sure that your answer is D) ∠S ≅ <span>∠Y because corresponding angles of similar triangles are congruent.

I think that it is the answer because if you shift your paper around, and look at the angles from different views, you can tell that angles S and Y are congruent, or the same, because of the way that both angles are at the end of the longer sides of both triangles.

So, your answer is D!

~Hope this helped!~</span>
8 0
3 years ago
Read 2 more answers
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