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Anna35 [415]
3 years ago
6

In the fallowing diagram, it is shown that mEHG is a right angle, mEHF = x+ 1 and mGHF = 5x+5. Find the value of x, the numerica

l values of mEHF and mGHF, and mark them on the diagram

Mathematics
1 answer:
GalinKa [24]3 years ago
4 0

Answer:

x = 14

EHF = 15 degree  GHF = 75 degree  

Step-by-step explanation:

(x+1) + (5x+5) = 90

(x+5x)+ (1+5) = 90

6x + 6 = 90

6x = 90-6

6x = 84

x = 84/6

x = 14

EHF + GHF = 90 degree

EHF = x+1

       = 14 + 1 = 15

       = 15 degree

GHF = 5x+5

        = 14 x  5 (+5) = 70 + 5

        = 75 degree

EHF = 15 degree  GHF = 75 degree  

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Which ordered pairs is a solution to 5x+3y>12 Question 2 options: (3, 9) (-5, 5) (3, -6) (-2, -5) (2, 8) (-6, 0)
jek_recluse [69]

The solution to the expression given as 5x + 3y > 12 has the ordered pair of (3, 0)

<h3>How to determine the ordered pair of the solution?</h3>

From the question, we have the following inequality that can be used in our computation:

5x + 3y > 12

Solving further, we need to collect the like terms

So, the expression becomes

3y > 12 - 5x

Next, we divide through the inequality by 3

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y > 12/3 - 5/3x

Evaluate

The equation becomes

y > 4 - 5/3x

At this point, we assume any value for x and then solve for y

Assume that the value of x is 3

So, we have the following representation

y > 4 - 5/3 * 3

Evaluate the products

y > -1

A value greater than -1 is 0

So, we have

x = 3 and y = 0

Express as ordered pairs

(x, y) = (3, 0)

Hence, the ordered pair of the solution is (3, 0)

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1 year ago
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3 years ago
QUICKLY PLEASE<br> Find the value of x. Round your answer to the nearest tenth
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Answer:

7.6

Step-by-step explanation:

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4 years ago
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Daniel drew a toy from a treasure chest containing 30 different toys. He selected a bouncy ball without replacement and then sel
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Answer:

Pr = \frac{1}{870}

Step-by-step explanation:

Given

n =30

Required

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From the question, we understand that all toys are different i.e. 1 of each type.

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So, after the first toy is selected; there are n - 1 toys left.

So, the probability is:

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3 years ago
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