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Debora [2.8K]
3 years ago
13

The corresponding sides of abc and def have equal lengths. the area of abc is 4 square units, and the longest side of def is 5 u

nits long. What is the area of def
Mathematics
2 answers:
seropon [69]3 years ago
7 0

Answer:

4 units

Step-by-step explanation:

borishaifa [10]3 years ago
3 0
1. "<span>The corresponding sides of (triangles) abc and def have equal lengths.</span>" means that the triangles are congruent, that is exactly identical, by the Side Side Side (SSS) postulate.

2. 2 congruent triangle, have equal area

3. A(DEF)=A(ABC)=4 square units

Answer: 4 units squared
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PLZ HELP, GIVING BRAINLIEST!
mote1985 [20]

Answer:

  d)  (-3/2, -1/2)

Step-by-step explanation:

The midpoint (M) between two given points is the average of their coordinate values:

  M = (A + B)/2 = ((-8, 1) +(5, -2))/2 = (-3, -1)/2

  M = (-3/2, -1/2) . . . . . matches choice D

4 0
3 years ago
A company is producing two types of ski goggles. Thirty percent of the production is of type A, and the rest is of type B. Five
exis [7]

Answer:

\dfrac{14}{29}

Step-by-step explanation:

Let <em>P(A) </em>be the probability that goggle of type A is manufactured

<em>P(B) </em>be the probability that goggle of type B is manufactured

<em>P(E)</em> be the probability that a goggle is returned within 10 days of its purchase.

According to the question,

<em>P(A)</em> = 30%

<em>P(B)</em> = 70%

<em>P(E/A)</em> is the probability that a goggle is returned within 10 days of its purchase given that it was of type A.

P(E/B) is the probability that a goggle is returned within 10 days of its purchase given that it was of type B.

P(A \cap E) will be the probability that a goggle is of type A and is returned within 10 days of its purchase.

P(B \cap E) will be the probability that a goggle is of type B and is returned within 10 days of its purchase.

P(E \cap A) = P(A) \times P(E/A)

P(E \cap A) = \dfrac{30}{100} \times \dfrac{5}{100}\\\Rightarrow P(E \cap A) = 1.5 \%

P(E \cap B) = P(B) \times P(E/B)

P(E \cap B) = \dfrac{70}{100} \times \dfrac{2}{100}\\\Rightarrow P(E \cap B) = 1.4 \%

P(E) = 1.5 \% + 1.4 \% \\P(E) = 2.9\%

If a goggle is returned within 10 days of its purchase, probability that it was of type B:

P(B/E) = \dfrac{P(E \cap B)}{P(E)}

\Rightarrow \dfrac{1.4 \%}{2.9\%}\\\Rightarrow \dfrac{14}{29}

So, the required probability is \dfrac{14}{29}.

7 0
3 years ago
What are the common factors of 60 and 72?
ddd [48]
Answer: 1, 2, 3, 4, 6, 12

Calculation/Explanation:

Common factors are factors that both the numbers, in this case, 60 and 72, have in common. The factors listed above are all factors shared by 60 and 72.
3 0
3 years ago
Ir AB - 4x + 9. BC = 5x + 2, and AC - 56. then find the value for x, AB, BC.
tiny-mole [99]

Answer:

A B - 4 x + 9 B C = 5 x + 2 = A = 9 x/ B + 2/ B − 9 C

A C − 56 = A = 9 x /B + 2/ B − 9 C

x=A=9x/B+2x/B-9C

I hope this helps

6 0
3 years ago
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Matthew bought snacks for soccer team. He bought a bag of apple slices for $5.65, and he bought a 12 pack of Gatorade bottles. T
agasfer [191]

Answer:

6.48/12=B

Step-by-step explanation:

B=6.48

6.48/12=0.54

Each Gatorade bottle costs 54 cents.

5 0
3 years ago
Read 2 more answers
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