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lbvjy [14]
3 years ago
12

in the figure below , Line K is perpendicular to Line l. based on the information given in the figure, find the measure of <C

Mathematics
2 answers:
gulaghasi [49]3 years ago
8 0
C is the answer for this
notka56 [123]3 years ago
8 0
The answer is ∠C = 47°.
First calculate the internal angle of the triangle on the picture:
180° - 137° = 43°.
Because the sum of the angles in a triangle is 180°, the angle A will be 180° - (90° + 43°) = 47°.
Angle A and C are vertical, so they are the same:
∠A = ∠C = 47°.
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Lydia has half of her investments in stock paying an 11% dividend and the other half in a stock paying 14% interest. If her tota
SVETLANKA909090 [29]

Based on the calculations, the amount of money she invested is equal to $3,520.

<h3>How to determine the amount invested?</h3>

First of all, we would assign variables to the amount of money that he invested at different interest rates as follows:

  • Let x be the amount of money she invested at 11%.
  • Let y be the amount of money she invested at 14%.

Since Lydia invested the same amount of money in both stocks, we have:

x = y     ....equation 1.

At the two interest rates, the total amount Lydia gets is given by:

0.11x + 0.14y = 440     ....equation 2.

Solving the equations simultaneously, we have:

0.11y + 0.14y = 440

0.25y = 440

y = 440/0.25

y = $1,760.

Thus, the total investment is given by:

Total investment = 1760 + 1760

Total investment = $3,520.

Read more on interest rates here: brainly.com/question/16793428

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8 0
1 year ago
Ms Hart had 40 dollars to spend on costume boxes for the musical. If she bought 12 boxes and received 4 dollars in change, how m
artcher [175]

Answer:each box cost =$3

Step-by-step explanation:

Amount of money Ms Hart has to spent on costume boxes=$40

Amount gotten as change after purchase=$4

Amount actually used up buying costume boxes =$40-$4=36

Since she bought 12 boxes , each box cost =$36/ 12=$3

5 0
3 years ago
Find the volume of a cylinder with height 12 cm and diameter 7 cm.
Svet_ta [14]
<span>461.81 cm^3 .................................</span>
3 0
3 years ago
A media company wants to track the results of its new marketing plan, so the video production manager recorded the number of vie
Alisiya [41]

Answer:

f(x)=5120(1.25)^{x}

Step-by-step explanation:

As per the given question

As we know that

f(x) and x are related by following equation

f(x)=a( {b})^{x}

where

b is the common ratio

Now first we have to compute the value for b which are as follows

\frac{6400}{5120}= 1.25

\frac{8000}{6400}= 1.25

Like if we take the ratio by this method than it comes 1.25

Therefore the common ratio, b = 1.25

So,

a = 5,120

Hence, the equation which model the relationship between the number of weeks and the number of viewers is

f(x)=5120(1.25)^{x}

8 0
3 years ago
Read 2 more answers
Need help please :) I’m not sure how to solve this one either
Andrews [41]
The answer is

580|21

6 0
1 year ago
Read 2 more answers
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