Which is equal to 5^4 • 5^8?

Is ∆JKL ≅ ∆KJM ? Justify your answer below.

makkiz [27]

Answer:

Yes, the triangles are congruent by ASA

Step-by-step explanation:

we know that

If any two angles and the included side are the same in both triangles, then the triangles are congruent by Angle-Side-Angle (ASA)

In this problem

LK=MJ

∠KLJ=∠KMJ

∠LKJ=∠MJK

so

Two angles and the included side is equal in triangle JKL and triangle KJM

therefore

JKL≅KJM ----> by ASA

4 0

3 years ago

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How long will it take Greg to earn $500.00 round to the nearest hour

Mrrafil [7]

Answer:

56 hours

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

Let

x -----> the number of hours

y ----> the amount earned in dollars

This problem represent a proportional relationship between the variable x and the variable y

Find the value of the constant of proportionality k

$k=y/x$

For (3,27) ----> $k=27/3=9\ \$/h$

For (9,81) ----> $k=81/9=9\ \$/h$

For (21,189) ----> $k=189/21=9\ \$/h$

The constant of proportionality k is 9

The linear equation is

$y=9x$

For y=$500

substitute in the equation and solve for x

$500=9x$

Divide by 9 both sides

$x=56\ hours$

5 0

2 years ago

I really need helppppp

Dmitry [639]

Answer: the distance of the boat from the foot of the lighthouse is 290.5 feet.

Step-by-step explanation:

The right angle triangle ABC representing the scenario is shown in the attached photo.

Angle A is alternate to the angle of depression, hence, they are the same.

The height of the lighthouse represents the opposite side of the right angle triangle. The distance, x of the boat from the foot of the lighthouse represents the adjacent side of the right angle triangle.

To determine x, we would apply

the tangent trigonometric ratio.

Tan θ, = opposite side/adjacent side. Therefore,

Tan 11.1 = 57/x

x = 57/Tan 11.1 = 57/0.1962

x = 290.5 feet to the nearest tenth.

6 0

3 years ago

When Nabhitha goes bowling, her scores are normally distributed with a mean of 115

frutty [35]

Answer:

By the Empirical Rule, in 99.7% of the games that Aubree bowls she scores between 148 and 232Step-by-step explanation:The Empirical Rule states that, for a normally distributed random variable:68% of the measures are within 1 standard deviation of the mean.95% of the measures are within 2 standard deviation of the mean.99.7% of the measures are within 3 standard deviations of the mean.In this problem, we have that:Mean = 190Standard deviation = 14Using the empirical rule, what percentage of the games that Aubree bowls does she score between 148 and 232?148 = 190 - 3*14So 148 is 3 standard deviations below the mean.232 = 190 + 3*14So 232 is 3 standard deviations above the meanBy the Empirical Rule, in 99.7% of the games that Aubree bowls she scores between 148 and 232

7 0

2 years ago

A town has a population of 5000 and grows at 3.5% every year. What will be the population after 15 years, to the nearest whole n

RUDIKE [14]

Answer: 7,625

Step-by-step explanation:

5 0

3 years ago

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