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
gizmo_the_mogwai [7]
3 years ago
9

Given that Triangle ABC ~ DEF, solve for x.

Mathematics
2 answers:
Finger [1]3 years ago
6 0
You have the answer it's 4 since the big one is 6 times bigger 4 times 6 = 24
attashe74 [19]3 years ago
5 0

ANSWER

Given that Δ ABC ~ ΔDEF

solve for x

To proof

as given in the question

ΔABC ~ ΔDEF

this means their sides are proportional to each other.

thus

\frac{AB}{AC} = \frac{ED}{DF}

As given

AB = 30unit

AC = 24unit

ED = 5unit

DF = x

put  in the above

x = \frac{5\times24}{30}

solving

x = 4 unit

option (C) is correct

Hence proved



You might be interested in
A box of chocolates contains 18 chocolate squares, tens of the square are milk chocolate, 5 are dark chocolate, and 3 are.white
Step2247 [10]

Answer:

0.167 ; 0.093

Step-by-step explanation:

Given that:

Total number of chocolate squares = 18 of which÷

Number of milk chocolate square = 10

Dark chocolate square = 5

White chocolate square= 3

Probability of choosing a white chocolate square :

Probability = required outcome / Total possible outcomes

Required outcome = white chocolate square = 3

Number of chocolate square = 18

P(choosing a white chocolate square) = 3 / 18 = 1/6 =

B) probability of randomly selecting a milk chocolate first, replace it, and then select a white chocolate?

With replacement :

First pick :

Number milk chocolate = 10

P(choosing a milk chocolate) = 10/18 = 5/9

Second pick:

Number of white chocolate = 3

P(choosing a white chocolate) = 3 / 18 = 1/6

Hence, since both probabilities are independent :

P(choosing milk, then white chocolate) :

(5/9 × 1/6) = 5/54 = 0.0925 = 0.093

8 0
4 years ago
A car used 1/ 64 of a gallon of gas to drive 1 4of a mile. At this rate, how many miles can the car travel using 1 gallon of gas
Dovator [93]

Answer: 16 miles

Step-by-step explanation:

The car used 1/64 gallons to travel 1/4 miles. To find out how many miles the car can travel using 1 gallon, use direct proportion:

1/64 gallons            :              1/4 miles

1 gallon                   :                  x miles

Cross multiply:

1/64x = 1/4

x = 1/4 ÷ 1/64

= 1/4 * 64/1

= 16 miles

On one gallon of gas, the car can travel 16 miles.

5 0
3 years ago
Which of the following statements is true
Tresset [83]
Hello There!

The first statement is incorrect as congruent angles have the same measure but it doesn't have to 45°. It can be any value.
The second one is also incorrect. Congruent angles have the same measure but don't always total to 180° (which is what supplementary means). It would only be true if they are congruent right angles.
The third one is also incorrect as they don't always total to 90° either (Which is what complementary means). 
The fourth one is correct, this is because congruent angles are simply angles with the same measure.

In short, you're answer is 4. Congruent angles always have the same measure. 


Hope This Helps You!
Good Luck :) 
6 0
3 years ago
How to get the volume of a answer
Eduardwww [97]
Mass* length * breadth
3 0
3 years ago
Given that r is the midpoint of qs and that the lenght of qr is 5.7, find the lenght of qs
ra1l [238]
We know that the midpoint is the a point in the center of the line (r). This means that from the midpoint to the endpoint (qr) is half the length of the overall line. This means that 5.7 (the length of qr) units is half the length of the line. Two halves make a whole so 5.7 × 2 = 11.4 units as the length of the entire line qs.
Hope this helps!
5 0
3 years ago
Other questions:
  • Solve The Equation<br> 5p = -30
    14·2 answers
  • Alfred is taking a trip. He drove 150 mi and then stopped to refuel. He will drive 60 mph to finish his trip. Let x represent th
    15·1 answer
  • Original price: $32<br> Discount: ?<br> Sale price: $8
    10·1 answer
  • Aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
    10·1 answer
  • If Mei has earned 30 points right and solve a multiplication equation to find out how many books she needs to read
    13·2 answers
  • Three times the difference of a number and 9 is -3. Find the number
    13·1 answer
  • Ms.Lawrence buys 8 ounces of smoked salmon at 17.98 per pound how much money did ms.Lawrence spend on smoked salmon
    11·1 answer
  • Amazon sells 2 packages of protein bars:
    6·1 answer
  • How do i write improper fractions as mixed numbers?<br> Explain with examples
    12·1 answer
  • PLS ANSWER THESE TWO QUESTIONS<br> EXPLANATION IS NOT NEEDED <br> MAKE SURE IT IS CORRECT
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!