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kotegsom [21]
2 years ago
9

The triangles are similar. If DE=32, EF=24,and BC=6, find AB

Mathematics
2 answers:
Karolina [17]2 years ago
5 0
ABC = DEF
AB = DE , AC = DF & BC = EF ( means similar )
EF = 4times BC
So, the triangle DEF is 4times the triangle ABC
EF = 24 and BC = 6
So, AB = DE/4 = 32/4 = 8
tatyana61 [14]2 years ago
4 0

Answer:

The length of <u>AB is </u><u>8</u>

Step-by-step explanation:

The triangle ΔABC and ΔDEF are given as in figure-1

We can observe from given data that,

The length of sides of triangle ΔDEF is 4 times the sides of triangle ΔABC.

ΔABC ≅ ΔDEF

EF=4×BC  

⇒  EF=4×(6)=24

DE=4×AB  

Divide both sides by '4'

⇒ \frac{DE}{4}=AB

⇒  \frac{32}{4}=AB

⇒  8=AB

Hence the length of <u>AB is </u><u>8</u>

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One factor that affects the slope of the aggregate demand curve is the multiplier effect is a "true" statement.

<h3>What is aggregate demand curve?</h3>

Aggregate demand would be a macroeconomic term which refers to the total consumption of goods and services in a given period at any price level.

Some key features regarding the aggregate demand curve?

  • Since the two metrics are estimated in the same way, aggregate demand over time corresponds gross domestic product (GDP).
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7 0
1 year ago
Which expression is equivalent to  4 7/8 ÷ 4 1/4​
cupoosta [38]

Answer:

Improper fraction: 39/34

Proper fraction: 1 5/34

Decimal: 1.147 (rounded to the nearest thousandths).

Step-by-step explanation:

Solve each expression given, if it has the same result, then the expressions is equivalent. Solve the given expression:

4 7/8 ÷ 4 1/4

First, change all fractions into improper fractions:

4 7/8 = (4 * 8)/8 + 7/8 = 32/8 + 7/8 = 39/8

4 1/4 = (4 * 4)/4  + 1/4 = 16/4 + 1/4 = 17/4

Next, find common denominators. Note that what you do to the denominator, you must do the numerator:

(17/4) * (2/2) = (34/8)

39/8 ÷ 17/4

Solve. First, change the division sign into multiplication, and then flip the second fraction:

39/8 ÷ 17/4 = 39/8 x 4/17

Multiply straight across:

39/8 x 4/17 = (39 x 4)/(8 x 17) = 156/136 = 39/34 (simplified), or 1 5/34.

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