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
marusya05 [52]
1 year ago
15

The endpoints of FG are F(3.75,9) and G (2,-12).

Mathematics
1 answer:
Svetradugi [14.3K]1 year ago
5 0

Using proportions, it is found that:

  • The coordinates of point E are (3,0).
  • The coordinates of point H are (3.45, 5.4).

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Point E divides FG in the ratio 3:4, hence:

E - F = \frac{3}{7}(G - F)

This is used to find both the x and y coordinates.

For the x-coordinate, we have that:

E - F = \frac{3}{7}(G - F)

x - 3.75 = \frac{3}{7}(2 - 3.75)

x - 3.75 = -0.75.

x = 3.

For the y-coordinate:

E - F = \frac{3}{7}(G - F)

y - 9 = \frac{3}{7}(-12 - 9)

y - 9 = -9

y = 0.

The coordinates of point E are (3,0).

Point H divides FE in the ratio 2:3, hence:

H - F = \frac{2}{5}(E - F)

This is used to find both the x and y coordinates.

For the x-coordinate, we have that:

H - F = \frac{2}{5}(E - F)

x - 3.75 = \frac{2}{5}(3 - 3.75)

x - 3.75 = -0.3.

x = 3.45.

For the y-coordinate, we have that:

H - F = \frac{2}{5}(E - F)

y - 9 = \frac{2}{5}(0 - 9)

y - 9 = -3.6

y = 5.4.

The coordinates of point H are (3.45,5.4).

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

You might be interested in
Can someone please answer question number 7 with explanation ❤️
Ulleksa [173]

Answer:

a

Step-by-step explanation:

you have to find the hole volume of the other shapes.

7 0
3 years ago
What is Representing Relationships of Angle Measures
Studentka2010 [4]

<u>Given</u>:

Angles X and Y form a straight line. Angles W and Z form a straight line. Angles X and W are beside each other. Angles Y and Z are beside each other.

We need to determine the relationship that represents the measure of ∠X and ∠Y

<u>Option a</u>: m∠X = m∠Y

Two angles are said to be congruent only if they are vertically opposite angles.

Since, we know that the given relationship between X and Y is a straight line, the relationship  m∠X = m∠Y does not represent the relationship between X and Y.

Hence, Option a is not the correct answer.

<u>Option b</u>: m∠X + m∠Y = 90°

The given relationship shows that the angles X and Y are complementary angles. Because complementary angles add up to 90°

Hence, the given relationship m∠X + m∠Y = 90° does not represent that the angles X and Y are straight line.

Hence, Option b is not the correct answer.

<u>Option c</u>: m∠X + m∠Y = 100°

The given relationship shows that the sum of the two angles X and Y is 100°

Hence, the relationship m∠X + m∠Y = 90° does not represent that the angles X and Y forms a straight line.

Hence, Option c is not the correct answer.

<u>Option d</u>: m∠X + m∠Y = 180°

The given relationship shows that the angles X and Y are linear pairs of angles. That is, two angles in a straight line add up to 180°

Hence, the relationship m∠X + m∠Y = 90° represents the angles X and Y form a straight line.

Hence, Option d is the correct answer.

8 0
3 years ago
Sierra's ice cream shop made $45 before she had to close early when the power went out. She realized she lost Two-thirds of a do
Troyanec [42]

Answer:

the profit in the case when the shop is closed for 6 hours is $41

Step-by-step explanation:

The computation of the profit in the case when the shop is closed for 6 hours is shown below:

= Expression of the situation × number of hours in which the shop is closed

= 45 - 2 ÷ 3 × 6 hours

= $41

hence, the profit in the case when the shop is closed for 6 hours is $41

Therefore the third option is correct

6 0
3 years ago
Read 2 more answers
What is meant by a system of linear equations?
photoshop1234 [79]
It’s a grouping of linear(straight line)equations that deal with the same variables. Hope that helped?
7 0
2 years ago
Graph y=5/3x-9 in slope intercept
prisoha [69]

Answer:

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Set up an equation and solve for x<br> X<br> 2x<br> 3x<br> Equation
    9·1 answer
  • 1) Two coins are to be flipped. The first coin will land on heads with probability .6, the second with probability .7. Assume th
    9·1 answer
  • What does 9e plus 10 mean?
    10·1 answer
  • Select the quadratic that has roots x=8 and x=-5 a x^2 + 3x -40
    14·1 answer
  • 14 1/4 - 10 3/7 Reduce to lowest form....<br> step by step to see if my answer your answer
    14·2 answers
  • Translation is a congruency transformation. True or false
    10·2 answers
  • Write an equation that can be used to find the value of x. The perimeter of rectangle: 32 Length of the other side: 4
    9·1 answer
  • On a random Friday in the fall, 95% of students were present at school. If there are a total of 420 students enrolled, then how
    9·1 answer
  • Which equation(s) model inverse variation? Select all that apply.
    10·1 answer
  • Alena had 4 packs of gum with 6 pieces of gum in each pack. Hugh had 3 packs of gum with 5 pieces in each. Alena and Hugh have 1
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!