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3 years ago

Solve number 8 (geometry)

Mathematics

1 answer:

ANEK [815]3 years ago

3 0

Answer:

x = 50

Step-by-step explanation:

the word bisects means that it cuts in half (this is how I understand it, not the official definition :D)

so that means

$\angle XAB =\angle BAY\\\\2x=100\\\\x=50$

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The smaller triangle is the image of the larger triangle after a dilation. The center of the dilation is (4,2).

vlabodo [156]

Answer:

-1/3

Step-by-step explanation:

Take the ratio of the corresponding sides to get the scale factor so for this equation let's use the hypotenuse.

The length of the hypotenuse of the larger triangle is 12 units and the smaller triangle's hypotenuse is 4 so 4/12 is the scale factor.

However 4/12 can be simplified down to 1/3.

Since the smaller triangle has been flipped upside down the scale factor is negative so the final answer is -1/3

8 0

3 years ago

Given: <SPT = <RQT, ST = RT Prove: PR = QS

andrey2020 [161]

Answer:

See explanation

Step-by-step explanation:

Consider triangles PTS and QTR. In these triangles,

$ST=RT$ - given;
$\angle SPT=\angle RQT$ - given;
$\angle STP=\angle RTQ$ - as vertical angles when lines PR and SQ intersect.

Thus, $\triangle PTS\cong \triangle QTR$ by AAS postulate.

Congruent triangles have congruent corresponding sides, so

$PT=QT$

Consider segments PR and QS:

$PR=PT+TR\ [\text{Segment addition postulate}]\\ \\QS=QT+TS\ [\text{Segment addition postulate}]\\ \\PT=QT\ [\text{Proven}]\\ \\ST=RT\ [\text{Given}]$

So,

$PR=SQ\ [\text{Substitution property}]$

7 0

3 years ago

If S (3,-4) is translated 5 units left and 3 units up, what is the ordered pair of S?<br>

sleet_krkn [62]

Answer:

(-2,-1)

Step-by-step explanation:

3-5=-2

-4+3=-1

6 0

3 years ago

Suppose the probability that a softball player gets a hit in any single at-bat is 0.300. Assuming that her chance of getting a h

Ksivusya [100]

Answer:

$P(X=4)=(1-0.3)^{4-1} 0.3 = 0.103$

The probability that she will not get a hit until her fourth time at bat in a game is 0.103

Step-by-step explanation:

Previous concepts

The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"

$P(X=x)=(1-p)^{x-1} p$