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3 years ago

Ben and his housemates signed a lease for an apartment for 12 months for $563 per month of which Ben agreed to pay $215 per

Mathematics

1 answer:

olga_2 [115]3 years ago

4 0

Answer:

It is by contract the same amount every month.

Step-by-step explanation:

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Classify the triangle shown.

givi [52]

It's obtuse scalene.

3 0

3 years ago

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A triangular courtyard has a perimeter of 120 meters. The lengths of two sides are 30 meters and 50 meters. How long is the thir

Masja [62]

Answer:

the third side is 40 m long

Step-by-step explanation:

The perimeter of the triangle is the sum of its three sides, and they give you what that value in meters is (120 m)

Your are given the length of two of them: 30 m and 50 m, and need to find the third one (let's call it "x" for this unknown side)

Now set the following equation:

Perimeter = side 1 + side 2 + side 3 --> replace these with the info you know

120 m = 30 m + 50 m + x --> add 30 m and 50 m obtaining 80 m

120 m = 80 m + x --> now solve for x (isolate the x on one side) by subtracting 80 m from both sides

120 m - 80 m = x --> perform the subtraction 120 m - 80 m = 40 m

40 m = x

Which tells us that the third unknown side has a length of 40 m

7 0

4 years ago

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How many solutions does this system of equations have? Use either the substitution method or the elimination method. −2x + 4y =

Katen [24]

-2x+4y=4 Equation 1
x-2y=6 Equation 2
Solving by substitution method.
Isolate x from equation 2.
x=2y+6
Substitute value of x in equation 1
-2(2y+6)+4y=4
-4y-12+4y=4
-12=4
-16=0
Which is false.

Answer: No solution

7 0

4 years ago

Find values of x and y for which ABCD must be a parallelogram. The diagram is not drawn to scale.

Arturiano [62]

ANSWER
$x=4, y=8$

EXPLANATION

If ABCD is a parallelogram, then

line AB is parallel to line DC .

This means that,

$(x + 2) \degree$
and

$(2x - 2) \degree$
are alternating angles.

Alternate angles are congruent.

This implies that,

$2x - 2 = x + 2$

We group like terms to obtain,

$2x - x = 2 + 2$

This simplifies to,

$x = 4$

Also, if ABCD is a parallelogram then,

BC is parallel to AD. This means that,

$5y - 8 = y + 24$

We group like terms to get,

$5y - y = 24 + 8$

This simplifies to,

$4y = 32$

We divide both side by 4 to get,

$y = 8$

6 0

3 years ago

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An investment made in the stock market decreased at a rate of 4.2% per year for 15 years. What is the current value of the $1,00

loris [4]

<span>For exponential decrease use the formula P(1 - r)^t
p: initial amount
r: rate of change or percent of decrease (be sure to put in decimal form or you wont get the right answer)
t: amount of time (in years)
1,000,000 (1-0.042)^15 =
$525,391.01
(also make sure to use pemdas or order of operations when solving) hope this helps :)</span>

8 0

3 years ago