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3 years ago

In this picture B and F are midpoints.

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

3 0

now, we know that B and F are midpoints, namely BF is a midsegment of the triangle, and therefore BF || AE, so, the base AE is twice BF.

$\bf 2BF=AE\implies 2(23)=5x-4\implies 46=5x-4\implies 50=5x \\\\\\ \cfrac{50}{5}=x\implies \boxed{10=x}$

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3 years ago

Evaluate the exponent expression 3x–4 ⋅ xy2 for x = –1 and y = 2.

ddd [48]

Answer:

Step-by-step explanation:

Given,

x = - 1

y = 2

To find : The value of 3x - 4 ⋅ xy² ?

Substitute the given values of x and y in the expression 3x - 4 ⋅ xy².

3x - 4 ⋅ xy²

= 3 ( - 1 ) - 4 ⋅ ( - 1 ) ( 2 )²

= - 3 - 4 ⋅ - 1 ( 4 )

= - 12 ⋅ - 4

= 48

Note : -

When a negative number gets multiplied with a negative, the resulted number is a positive number.

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2 years ago

Barbara purchased a home entertainment center for $2,665 using an 18-month deferred payment plan with an interest rate of 24.36%

Andre45 [30]

Answer:

P = $ 144.99

Step-by-step explanation:

Given data:

cost of home entertainment center is $2665

duration of deferred payment plan is 18 month

interest rate is 24.36%

Total amount to be paid is $= P(1+ \frac{R}{100})^t$

$= 2665 (1+ \frac{24.36}{100})^1.5$

A = 3695.88

From the information in the questioon this amount is to be paid in 3 year . Thus we have

Monthly payment is =

$P = \frac{r(Pv)}{1 - (1+ r)^{-n}}$

p = monthly payment

Pv = present value = 3695.88

r =rate per period $= \frac{24.36}{12} = 0.020$

n = number of period $= 12\times 3 = 36$

plugging all value in the above formula

$P = \frac{0.020\times 3695.88}{1 - (1+0.020)^{-36}}$

P = $ 144.99

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3 years ago

PLEASE HELP I WILL MARK BRAINLEIST

icang [17]

Answer:

25 mm

Step-by-step explanation:

Set up a proportion where x is the number of millimeters for 160 kilometers

$\frac{5}{32}$ = $\frac{x}{160}$

Cross multiply and solve for x:

32x = 800

x = 25

So, 25 millimeters represent 160 kilometers

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3 years ago

Find the perimeter of a triangle with sides lengths 8, 10, and 12.

shtirl [24]

Answer:

Step-by-step explanation:

7 0

2 years ago

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