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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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Answer:

12 ; 12 dollars

Step-by-step explanation:

Data provided in the question:

Revenue function, R = 12x

R is in dollars

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The slope can be found out by differentiating the above revenue function w.r.t 'x'

thus,

\frac{\textup{dR}}{\textup{dx}}= \frac{\textup{d(12x)}}{\textup{dx}}

or

slope = 12

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3 years ago
If a parabola opens downward, the highest point on the graph is called the ____ of the parabola.
Setler [38]

Answer:

vertex

Step-by-step explanation:

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3 years ago
Start solving #2 with the substitution method
Brums [2.3K]

Answer:

A=3, B =3, C = 3

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7 0
3 years ago
The histogram shows the ages of people in a community chorus. How many people in the chorus are 50 or older? Enter your answer i
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Answer:

13

Step-by-step explanation:

The computation of the number of people in the chorus are 50 or older is as follows

According to the attached figure

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So, if we do the total that comes

= 8 people + 4 people + 1 people

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3 0
3 years ago
The mean of a certain set of measurements is 27 with a standard deviation of 14. The distribution of the
Talja [164]

Answer:

Exactly 16%.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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The mean of a certain set of measurements is 27 with a standard deviation of 14.

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The proportion of measurements that is less  than 13 is

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Z = -1 has a p-value of 0.16, and thus, the probability is: Exactly 16%.

8 0
2 years ago
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