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
Dahasolnce [82]
3 years ago
11

Given that Triangle ABC ~ DEF, solve for X.​

Mathematics
1 answer:
Vadim26 [7]3 years ago
6 0

Answer:

x = 7

Step-by-step explanation:

if ABC ~ DEF than AB ~ ED, AC ~ DF, and CB ~ FE

The ratio of AB to ED is given as 5/30 = 1/6

For AC ~ ED the ratio would be same x/42 = 1/6 cross multiply it

6x = 42

x = 7

You might be interested in
Order the numbers from least to greatest. List the numbers as your final answer. 4, 7, -2, 25, 49, 63, 13, -22, 19, -13, 4/4, 34
sp2606 [1]
-22 , -13, -3, -2 , 4/4, 4, 7, 13, 19, 25, 34, 49, 63
4 0
3 years ago
Read 2 more answers
The prism has a volume up to 150.find the length of the prism
Varvara68 [4.7K]

Step-by-step explanation:

We have to know that in order to solve for the volume of a rectangular prism, we have to use this formula: l * w * h. This stands for length multiplied by width multiplied by height.

<u>Step 1</u>

Let's look at the numbers we already have. The height of the prism is 4 feet and the width is 5 feet. When we multiply them together, we got 20 feet.

<u>Step 2</u>

The volume of this prism adds up to 150 square feet. To find the length of this prism, we have to divide 150 by 20.

150 / 20=7.5

Our final answer: l = 7.5 feet

We can check our answer by multiplying all the numbers together.

4 * 5* 7.5 = 150

5 0
3 years ago
Identify holes in the graph of the function.
snow_lady [41]

Answer:     x = 0

Step-by-step explanation:

The hole in the graph (a discontinuity) exist where the function doesn't exist. Because anything divided by zero is undefined, then the function would not exit at 0, thus having a hole/discontinuity.

7 0
3 years ago
HELP ME PLEASE I'll give brainless.
Lana71 [14]

Answer:

∠FGI=40°

Step-by-step explanation:

CE║FH ⇒ ∠CDG=∠FGI=40°

3 0
3 years ago
Triangle A C D is shown. A line is drawn from point D to point B on side A C to form a right angle. Line A D is labeled s. The l
devlian [24]

Answer:

s = 17units

Step-by-step explanation:

For this problem, we are trying to find a specific unknown side length.

We're actually given some extraneous information (information that is not needed to solve the problem):  <em>It isn't necessary to know that BC is 5.</em>

If the side AD with the unknown length is part of a right triangle (the triangle in red in the attached diagram), we can use the Pythagorean Theorem to solve for AD.

It isn't clear if the diagram you were provided gives ∠ABD as a right angle,  if it only gives ∠CBD as a right angle, or if it gives both as a right angle.  Below, we prove that it doesn't matter, because regardless, both must be right angles.

<u>Is Triangle ABD a "right triangle"?</u>

Since B is between A and C, then the two angles ∠ABD & ∠CBD form a linear pair, and by the linear pair postulate are supplementary.  Since they are supplementary, their measures add to 180°.  Using the fact that all right angles are 90°, substitution, the subtraction property of equality, arithmetic, the measure of ∠ABD is also 90°, and thus must be a right angle.  Thus, based on the given information, both ∠ABD & ∠CBD must be right angles.

Consequently, triangle ABD is a right triangle, by definition (it is a triangle that has a right angle).

<u>Pythagorean Theorem</u>

Since triangle ABD is a right triangle, the Pythagorean Theorem can be applied.

The Pythagorean Theorem states that a^{2} +b^{2} =c^{2} where "c" is the hypotenuse (the side across from the right angle) and "a" and "b" the the lengths of the two other sides (called legs) of the right triangle.  (<em>Aside: Because of the commutative property of addition, it doesn't matter which of the two legs' lengths is used for a, and which is used for b.  The only thing that is required is that "c" be the length of the hypotenuse</em>)

In our triangle, side AD, with unknown length "s" is the length of our hypotenuse, and sides AB and BD are the two legs.  Substituting values into the Pythagorean Theorem equation, we can solve for the unknown "s":

a^{2} +b^{2} =c^{2}

(8)^{2} +(15)^{2} =(s)^{2}

64 +225 =s^{2}

289 =s^{2}

Applying the square root property...

\pm \sqrt{289} =\sqrt{s^{2}}

s=17 \text{ or } s=-17

<u>Final Solution</u>

We discard the negative solution we obtained, since s represents the length of the side of a triangle.

s = 17units

7 0
2 years ago
Other questions:
  • Compare the models for 1/3 and 2/6 how dose the number of parts relate to the sizes of the parts
    5·1 answer
  • Plzzzzz can any one help me I don’t understand :(
    7·1 answer
  • Austin made 5 quarts of his special from-scratch cupcake mix. He was able to make 32 identical cupcakes using 3.5 quarts of his
    7·1 answer
  • Plz help me on this i have until tonight
    6·1 answer
  • Which expression is equivalent to 4 - 10(9m-7)
    6·1 answer
  • What is the expression in simplest radical form?<br> 4V90
    14·1 answer
  • Graph the equation 4x+8y=16 (pls show ur work)
    10·1 answer
  • Complete the congruence statement for the figure shown. If the triangles cannot be shown congruent, type na in each blank.
    8·1 answer
  • Due in 1 hour <br> screenshot below
    5·1 answer
  • PLEASE HELP ASAP!! Also, please explain how to solve. Thank you
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!