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3 years ago

Find the value of x in each triangle

Mathematics

2 answers:

ankoles [38]3 years ago

8 0

I would have to say that the angle is 61 degrees but this may not be correct so you know <span />

ss7ja [257]3 years ago

6 0

All triangles sum up to 180.

120+58+x=178

180-178=2

x=2

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I want the answer and way to do this problem.

user100 [1]

∠ABC = ∠CDA (given)

∠BCA = ∠DAC (given)

CA = AC (common side)

ASA congruence criterion = when two angles of two triangles are equal and their included side is also equal, we can consider those triangles to be congruent to each other.

Since two angles in triangle △ABC and△CDA are equal and since their included side is also equal we can conclude that they are congruent.

Therefore, △ABC ≅ △CDA under the ASA congruence criterion.

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3 years ago

A class consists of 23 women and 83 mean. If a student is random selected, what is the probability that the student is a woman?

slavikrds [6]

Answer:

$P(Woman) = \frac{23}{106}$

Step-by-step explanation:

Given

$Women = 23$

$Men = 83$

Required

$P(Woman)$

This is calculated as the number of women divided by the population of the class

i.e.

$P(Woman) = \frac{Women}{Women + Men}$

So, we have:

$P(Woman) = \frac{23}{23+83}$

$P(Woman) = \frac{23}{106}$

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3 years ago

If I drive 70 miles per hour for eight and a half hours, how far will I have driven

Deffense [45]

Just do 70 times 8.5

6 0

3 years ago

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what is the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube

Dmitrij [34]

Let the least possible value of the smallest of 99 cosecutive integers be x and let the number whose cube is the sum be p, then

$\frac{99}{2} (2x+98)=p^3 \\ \\ 99x+4,851=p^3\\ \\ \Rightarrow x=\frac{p^3-4,851}{99}$

By substitution, we have that $p=33$ and $x=314$ .

Therefore, <span>the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube is 314.</span>

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3 years ago

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ArbitrLikvidat [17]

Answer:

y=16

Step-by-step explanation:

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2 years ago

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