1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
castortr0y [4]
3 years ago
15

If angle EFH(5x+1)’ angle HFG(62 degrees) and angle EFG (18x+11) find each measurement

Mathematics
1 answer:
zloy xaker [14]3 years ago
8 0

Answer:

∠EFH = 21°

∠HFG = 62°

∠EFG = 83°

Step-by-step explanation:

The diagram showing the angles has been attached to this response.

From the diagram, it can be deduced that;

Angle EFG = angle EFH + angle HFG

=> ∠EFG = ∠EFH + ∠HFG                -------------------(i)

From the question:

∠EFH = (5x + 1)°                    -------------(ii)

∠HFG = 62°                          -------------(iii)

∠EFG = (18x + 11)°                 -------------(iv)

<em>Substitute these values into equation (i) as follows;</em>

(18x + 11) = (5x + 1) + 62

=> 18x + 11 = 5x + 1 + 62

<em>Collect like terms and solve for x</em>

18x - 5x = 1 + 62 - 11

13x = 52

x = 4

Now, to get each measurement, substitute x = 4 into each of equations (ii) - (iv)

∠EFH = (5x + 1)°

∠EFH = (5(4) + 1)°

∠EFH = (20 + 1)°

∠EFH = 21°

∠HFG = 62°              [<em>Does not depend on x</em>]

∠EFG = (18x + 11)°

∠EFG = (18(4) + 11)°

∠EFG = (72 + 11)°

∠EFG = 83°

<u>Conclusion:</u>

∠EFH = 21°

∠HFG = 62°

∠EFG = 83°

You might be interested in
Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hu
dolphi86 [110]

Answer:

The monthly cost for 9 HCF is $38.54

Step-by-step explanation:

<em>The graph is missing; however, the question can still be solved</em>

Given

Slope = 1.55

When monthly cost = $47.84, Amount of water = 15 HCF

Required

Determine the monthly cost for 9 HCF

From the question, we understand that it is a linear function;

Linear functions are of the form

y = mx + b

Where y is the function of x and m is the slope

In this case; the function is the monthly water bill

and x is the amount of water

Solving for b

When monthly cost = $47.84, Amount of water = 15 HCF

The function is as follows;

47.84 = 1.55 * 15 + b

47.84 = 23.25 + b

Subtract 23.25 from both sides

47.84 - 23.25= 23.25 - 23.25 + b

24.59 = b

b = 24.59

Solving for the monthly cost for 9 HCF

Here, we have that

x = Amount\ of\ water = 9

m = Slope = 1.55

b = 24.59

Substitute these values in the linear function; y = mx + b

y = 1.55 * 9 + 24.59

y = 13.95 + 24.59

y = 38.54

<em>Hence, the monthly cost for 9 HCF is $38.54</em>

5 0
3 years ago
When x=8 and y=20 find y when x=42
ella [17]
When x=42 that means it is 8x6 so that means that the y = 120 becuase its 20x6
answer= y=120
7 0
3 years ago
Is it possible for a figure to have 90° rotational symmetry but not 180° rotational symmetry.
Gre4nikov [31]

Answer:

Well, It is but not because..rotation symmetry, and a square has -turn (or 90-degree) rotation symmetry. As you may have already observed, many figures have 180-degree rotation symmetry but no other rotation symmetry. A figure has 180-degree rotation symmetry if it looks the same when turned halfway around...Soo yeah..I think I am right, So sorry if I'm wrong.

Step-by-step explanation:

4 0
3 years ago
A cylinder has a height of 12cm.
stich3 [128]

Answer:

the answer for your question is 1200pi

4 0
2 years ago
Please Help ASAP with Math
vampirchik [111]

Answer:

5.33

Step-by-step explanation:

move the 4 out of the summation because  just a constant multiplier

4 *sum from 1 to 10 for (1/4)^(n-1)   [sorry i don't know how to write sums using latex)

The formula for the geometric sum is :

First term*(1-multiplier^n)/(1-multiplier), formally \frac{a_1(1-r^n)}{1-r}

Here multiplier is 1/4

First term is (1/4)^(1-1) = 1

Thus the value of sum is 1*(1-(1/4)^1^0)/(1-1/4)which equals (1- (1/4)^1^0)*4/3

We factored out 4 so its 4*(1-(1/4)^1^0)*4/3 which is 16/3 * (1- (1/4)^1^0)

This equals 5.333328247 which is 5.33 to the nearest hundredth

5 0
2 years ago
Other questions:
  • Question 6 options: What is the approximate area of a circle with a diameter of 56 cm? Use your calculator button for π. Round y
    13·1 answer
  • or the end-of-year party, Mt. Rose Middle School ordered 112 pizzas. There were eight fewer veggie pizzas than there were pepper
    10·2 answers
  • Find A ∩ B<br><br> A = {2, 3, 4, 5, 6} B = {3, 6, 9, 12, 15}
    8·2 answers
  • A cereal bar contains 4000 milligrams of protein. How much protein does it contain in grams
    8·1 answer
  • at a pizza shop, 75% of the customers order pizza, 20% of the customers order salad, and 15% of the customers order a pizza and
    13·2 answers
  • Round 75.03078 to the nearest ten-thousandths
    10·1 answer
  • I need some help with this calculus 1 question
    7·1 answer
  • 2. If Sarah makes $11 per hour at her part time job and she works 20 hours in a week. How much is her weekly grass
    8·2 answers
  • Evaluate the numericial expression (32 - 20) ÷ 4
    7·2 answers
  • Find the values of a and b so that the equation below is an identity: (x+2)³-3(x² −2x) = x³ + ax² +bx+8​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!