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
Ivanshal [37]
1 year ago
7

I need help on this question

Mathematics
1 answer:
vodka [1.7K]1 year ago
6 0

Answer

Arc EF = 52°

Arc HD = 142°

Angle HGF = 128°

Explanation

To solve for the unknown angles, we need to first solve for x

To do that, we need to first note that the sum of angles on a straight line is 180°

So,

Angle HCG + Angle HCD = 180° (Sum of angles on a straight line)

Angle HCG = 2x

Angle HCD = 6x + 28°

Angle HCG + Angle HCD = 180°

2x + 6x + 28° = 180°

8x + 28° = 180°

8x = 180° - 28°

8x = 152°

Divide both sides by 8

(8x/8) = (152°/8)

x = 19°

Angle HCG = 2x = 2 (19°) = 38°

Angle HCD = 6x + 28° = 6(19°) + 28° = 142°

So, we can solve for the rest now

Arc EF = Angle ECF

= 90° - Angle ECD

Angle ECD = Angle HCG = 38° (Vertically opposite angles are equal)

Arc EF = Angle ECF

= 90° - Angle ECD

= 90° - 38°

= 52°

Arc HD = Angle HCD = 142°

Angle HGF = Angle HCG + Angle GCF = 38° + 90° = 128°

Hope this Helps!!!

You might be interested in
What is the inverse of the function below? f(x) = x - 4
iren2701 [21]

Answer:

f^-1(x) = x + 4

Step-by-step explanation:

5 0
3 years ago
Out of the 25 students in Mrs. Coulter's class, 15 are girls. In the school there are 390 boys. If the ratio of boys to students
GREYUIT [131]

Answer:

975 students

Step-by-step explanation:

This is a dense question. Let's look at it piece by piece:

1. The ratio of boys to students in the class is 10/25. If there are 25 students and 15 girls, that leaves 10 boys.

2. The question says that the ratio is in proportion of boys to total students in the school. "In proportion" in this case means that if we convert 10/25 to a fraction with numerator 390, the denominator is the amount of students in school.

3. 10x39=390. What you do the numerator you must do to the denominator: 25x39=975.

4. This means 975 students go to the school.

6 0
2 years ago
Read 2 more answers
Sam spends 12.5% of his day doing homework. There are 24 total hours in one day. Which proportion could be used to calculate the
otez555 [7]
Homework =  12.5% of 24 hours  = 0.125 x 24  = 3 hours

Sam spent <u>3 hours</u> on homework.

Proportion of the time spent on homework = 3/24 = 1/8

Answer: Same spent 1/8 of his day on homework.
6 0
3 years ago
Read 2 more answers
The sum of two numbers is forty-five. two times the larger number is three times the smaller number.
Kitty [74]
X+y=45
2x=3y

2(45-y)=3y
90-2y=3y
90=5y
y=18

x+y=45
x+18=45
x=27

The two numbers are 18 and 27
8 0
3 years ago
There are 100 people in a wedding house, including children, men and women, and there are 100 pappadas to give with Sadya Te.
olga nikolaevna [1]

Answer:

Two possible sets of answers.

5 men, 11 women and 42 children, or

10 men, 2 women and 88 children

Selamat Sadhya!

Step-by-step explanation:

M = number of men

W = number of women

100-M-W = number of children

Total number of pappadas

5M+3W+(100-M-W)/2 = 100

Solve for W

W = (100-9M)/5 .......................(1)

Examine equation (1).

In order to have W as a whole number, M must be multiple of 5

Therefore M = 5 or 10

If M = 5, W = (100-45)/5 = 11 and children = 100-5-11 =  84

If M = 10, W = (100-90)/5 = 2 and children = 100-10-2 = 88

8 0
3 years ago
Other questions:
  • 5) Joy and Cullen put some money into their money boxes every week. The amount of money (y), in dollars, in their money boxes af
    8·2 answers
  • What is 20/100 in simplest form
    7·2 answers
  • -3/5 (3m-14)-m=2/5(3m+1)
    13·1 answer
  • What is the y-intercept of the line below? :y=-1/4x +1
    7·1 answer
  • MODELING WITH MATHEMATICS The backboard of the basketball hoop forms a right triangle with the supporting rods, as shown. Use th
    8·1 answer
  • Which graph represents the equation y − 6 = -(x − 4)?
    9·2 answers
  • Who here agrees that Todoroki is Hot?
    9·2 answers
  • 10. The total cost of a candy bar and a bag of chips is $1.70. If the cost of a candy bar and 2 bags of chips is
    8·2 answers
  • What is the measure of A
    10·1 answer
  • Ny – 18 = -3<br> what’s the answer?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!