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gizmo_the_mogwai [7]
3 years ago
14

I will give 30 points please don’t mess around. Write an informal proof for why the construction of an equilateral triangle work

s.
Mathematics
1 answer:
Marina86 [1]3 years ago
8 0

Answer:

An equilateral triangle is one with all three sides the same length. It begins with a given line segment which is the length of each side of the desired equilateral triangle. ... It is similar to the 60 degree angle construction, because the interior angles of an equilateral triangle are all 60 degrees.

Step-by-step explanation:

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Find the volume of the prism. Round to the nearest tenth if necessary.
Brrunno [24]

Answer:

308cm^3

Step-by-step explanation:

maths

5 0
3 years ago
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An urn contains 8 red chips, 10 green chips, and 2 white chips. A chip is drawn and replaced, and then a second chip is drawn.
Harlamova29_29 [7]

Answer:

(A) 0.04

(B) 0.25

(C) 0.40

Step-by-step explanation:

Let R = drawing a red chips, G = drawing green chips and W = drawing white chips.

Given:

R = 8, G = 10 and W = 2.

Total number of chips = 8 + 10 + 2 = 20

P(R) = \frac{8}{20}=\frac{2}{5}\\P(G)=  \frac{10}{20}=\frac{1}{2}\\P(W)=  \frac{2}{20}=\frac{1}{10}

As the chips are replaced after drawing the probability of selecting the second chip is independent of the probability of selecting the first chip.

(A)

Compute the probability of selecting a white chip on the first and a red on the second as follows:

P(1^{st}\ white\ chip, 2^{nd}\ red\ chip)=P(W)\times P(R)\\=\frac{1}{10}\times \frac{2}{5}\\ =\frac{1}{25} \\=0.04

Thus, the probability of selecting a white chip on the first and a red on the second is 0.04.

(B)

Compute the probability of selecting 2 green chips:

P(2\ Green\ chips)=P(G)\times P(G)\\=\frac{1}{2} \times\frac{1}{2}\\ =\frac{1}{4}\\ =0.25

Thus, the probability of selecting 2 green chips is 0.25.

(C)

Compute the conditional probability of selecting a red chip given the first chip drawn was white as follows:

P(2^{nd}\ red\ chip|1^{st}\ white\ chip)=\frac{P(2^{nd}\ red\ chip\ \cap 1^{st}\ white\ chip)}{P (1^{st}\ white\ chip)} \\=\frac{P(2^{nd}\ red\ chip)P(1^{st}\ white\ chip)}{P (1^{st}\ white\ chip)} \\= P(R)\\=\frac{2}{5}\\=0.40

Thus, the probability of selecting a red chip given the first chip drawn was white is 0.40.

6 0
3 years ago
Options are:<br><br> X=2, Y=3<br><br> X=3, Y=2<br><br> X= -2, Y=3<br><br> X=4, Y=8
tester [92]

Answer:

x = 4, y = 8

Step-by-step explanation:

If the triangles are congruent by the HL Theorem, it means that the hypotenuse and one leg of the right triangle are congruent to the corresponding one leg and hypotenuse of the other.

Thus;

2x - 5 = y - 5 (Eqn 1) and

y - 3 = x + 1 (Eqn 2)

Thus:

Rewrite equation 1

2x = y - 5 + 5

2x = y

Substitute y = 2x in equation 2.

y - 3 = x + 1 (Eqn 2)

2x - 3 = x + 1

Collect like terms

2x - x = 3 + 1

x = 4

Substitute x = 4 in equation 1

2x - 5 = y - 5 (eqn 1)

2(4) - 5 = y - 5

8 - 5 = y - 5

3 = y - 5

3 + 5 = y

8 = y

y = 8

4 0
4 years ago
HURRY PLS HELP<br> Write the standard form of an equation with p=5, theta= 210
drek231 [11]

Answer:

p34 coop

Step-by-step explanation:

3 0
3 years ago
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Two angles in a triangle have measures of 25° and 55°.
rosijanka [135]

Answer:

B) 100

Step-by-step explanation:

All 3 interior angles of a triangle add up to 180 so:

x + 25 + 55 = 180

x + 80 = 180

x = 180 - 80

x = 100

4 0
3 years ago
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