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2 years ago

Please help me with this question <3 ASAP!

Mathematics

2 answers:

sertanlavr [38]2 years ago

6 0

Answer:

54°

Step-by-step explanation:

Opposite angles of a parallelogram are congruent, so;

$9x+9=8x+14 \\ \\ x=5 \\ \\ m\angle S=9(5)+9=54^{\circ}$

san4es73 [151]2 years ago

4 0

$\qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star$

Angle S = 54°

$\textsf{ \underline{\underline{Steps to solve the problem} }:}$

In a Parallelogram, opposite angles are equal, so we infer that :

$\qquad❖ \: \sf \:9x + 9 = 8x + 14$

$\qquad❖ \: \sf \:9x - 8x = 14 - 9$

$\qquad❖ \: \sf \:x = 5 \degree$

Next,

Measure of Angle S is :

$\qquad❖ \: \sf \:9x + 9$

$\qquad❖ \: \sf \:9(5) + 9$

$\qquad❖ \: \sf \:45 + 9$

$\qquad❖ \: \sf \:54 \degree$

$\qquad \large \sf {Conclusion} :$

Angle S = 54°

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Answer:

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Step-by-step explanation:

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Skip one each time, 3, 9, 15, 21

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3 years ago

The shadow of a tree measures 25 feet from its base. The angle of elevation to the Sun is 31º How tall is the tree? Round your a

grigory [225]

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Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.

Tan α = opposite side / adjacent side

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Replacing with the values given:

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Feel free to ask for more if needed or if you did not understand something.

4 0

3 years ago

Bert is planning to open a savings account that earns 1.6% simple interest yearly. He wants to earn exactly $240 in interest aft

RoseWind [281]

Answer:

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Step-by-step explanation:

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3 years ago

Consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number,

Aleksandr-060686 [28]

Answer:

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Step-by-step explanation:

We are given that consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number, that many points will be added to the player’s total. Any other roll will be deducted from the player’s total.

Assuming that the numbered cube is a dice with numbers (1, 2, 3, 4, 5, and 6).

Here, the prime numbers are = 1, 2, 3 and 5

Numbers which are not prime = 4 and 6

This means that if the dice got the number 1, 2, 3 or 5, then that many points will be added to the player’s total and if the dice got the number 4 or 6, then that many points will get deducted from the player’s total.

Here, we have to make a probability distribution to find the expected value of the points earned on a single roll in this game.

Note that the probability of getting any of the specific number on the dice is $\dfrac{1}{6}$ .

Numbers on the dice (X) P(X)

+1 $\frac{1}{6}$

+2 $\frac{1}{6}$

+3 $\frac{1}{6}$

-4 $\frac{1}{6}$

+5 $\frac{1}{6}$

-6 $\frac{1}{6}$

Here (+) sign represent the addition in the player's total and (-) sign represents the deduction in the player's total.

Now, the expected value of X, E(X) = $\sum X \times P(X)$

= $(+1) \times \frac{1}{6} +(+2) \times \frac{1}{6} +(+3) \times \frac{1}{6} +(-4) \times \frac{1}{6} +(+5) \times \frac{1}{6} +(-6) \times \frac{1}{6}$