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Gnesinka [82]
2 years ago
15

Help me please, im struggling

Mathematics
2 answers:
vagabundo [1.1K]2 years ago
6 0

Answer:

8.57

Step-by-step explanation:

Hope it helps.......

Elena L [17]2 years ago
4 0

Answer:

x = 8.57

Step-by-step explanation:

<em>Hi! So first of all, I attached an image that has my best visual explanation of how the 2 triangles overlap but are indeed two separate triangles! </em>

Since the question states that the triangles are similar, that basically means in simple terms that their sides are proportional or, are all based on the same fraction (proportion)! (An example of this is the triangles with the sides that correlate [in this problem, 11 to 7] would be 1 to 2, 3 to 6, and 4 to 8)

Now, we have to figure out which of our sides correspond, the first one being 11 to 7, and the second one being x + 15 (which I got by adding the small portion I have from the big triangle, and the portion I have from the smaller triangle together because the small triangle is inside of the big one!) to 15.

Next, I have to find out what x is based on the fraction (proportion) I already have which is 11 to 7 or \frac{11}{7}. Then, I compare this by setting this proportion equal to are other proportion with x in it!

\frac{11}{7} = \frac{x+15}{15}

Finally, I have to get x by itself to find what it is equal to, which you can see in the image! (If you have a number in the denominator and a variable in the numerator, and a regular number or fraction without a variable on the other side, you can just multiply both sides by the number in the denominator to cancel out the bottom of said variable fraction!)

<em>So! X is equal to 8.57!</em>

<em></em>

Hope this Helps! :)

<em>Have any questions? Ask below in the comments and I will try my best to answer.</em>

-SGO

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Step-by-step explanation:

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dividend paid to common stockholder =32500(0.50) = $ 16250

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considering total dividend paid $ 50000 includes preferred dividend,then free distributable dividend = 50000 - 16250 - 6750 = $ 27000

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Answer:

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Step-by-step explanation:

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3 years ago
Linear model function
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Using equations of linear model function, the number of hours Jeremy wants to skate is calculated as 3.

<h3>How to Write the Equation of a Linear Model Function?</h3>

The equation that can represent a linear model function is, y = mx + b, where m is the unit rate and b is the initial value.

Equation for Rink A:

Unit rate (m) = (35 - 19)/(5 - 1) = 16/4 = 4

Substitute (x, y) = (1, 19) and m = 4 into y = mx + b to find b:

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Substitute m = 4 and b = 15 into y = mx + b:

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Equation for Rink B:

Unit rate (m) = (39 - 15)/(5 - 1) = 24/4 = 6

Substitute (x, y) = (1, 15) and m = 6 into y = mx + b to find b:

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15 - 6 = b

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Substitute m = 6 and b = 9 into y = mx + b:

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Learn more about linear model function on:

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2 years ago
Two geometrically similar jugs have volumes of 1000 cm3and 512 cm3.They have circular bases. The diameter of the base of the lar
Aleks [24]

Complete Question

Two geometrically similar jugs have volumes of 1000 cm³and 512 cm³.They have circular bases. The diameter of the base of the larger jug is 9 cm.

Calculate the diameter of the smaller jug.

Answer:

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Step-by-step explanation:

To solve the above question,we have the proportion

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Answer:

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B. The sum of the measures of angles of a triangle is 180°

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D. Because <1 and <2 are each supplementary to <3, they are therefore congruent

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