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3 years ago

In the given figure ABCD is a parallelogram. Find the value of x.

Mathematics

2 answers:

kramer3 years ago

7 0

45 degrees
Since the two angles are the same

Nookie1986 [14]3 years ago

6 0

Answer:

x = 45

Step-by-step explanation:

angle A = angle E

3x - 10 = x + 80

3x - x = 80 + 10

2x = 90

x = 90/2

x = 45

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Add 3 feet 6 in add 3 feet 6 in + 8 ft 2 in + 4in + 2ft 5in what does that add up to

Troyanec [42]

Answer:

173 inches

Step-by-step explanation:

i don't entirely understand the question but i think you're trying to add 3 feet 6 inches + 8 feet 2 inches + 4 inches + 2 feet 5 inches?

(3 feet 6 inches) + (8 feet 2 inches) + (4 inches) + (2 feet 5 inches)

i've added these parentheses in order to make it easier to see the grouped measurements. this isn't necessary but i'm just doing it to hopefully aid my explanation since there's so many terms in the expression!

start by converting everything to inches just to make the addition as well as showing your work easier. all you have to do is multiply the amount of feet by 12 because there are 12 inches in a foot! :)

(3 feet 6 inches) + (8 feet 2 inches) + (4 inches) + (2 feet 5 inches)

for your first measurement, 3 feet 6 inches, convert 3 feet to inches by multiplying the amount of feet, 3, by 12.

3(12) = 36 (therefore 3 feet is equal to 36 inches!)

and add the remaining 6 inches.

36 + 6 = 42 (therefore 3 feet 6 inches is equal to 42 inches!)

(3 feet 6 inches) + (8 feet 2 inches) + (4 inches) + (2 feet 5 inches)

for your second measurement, 8 feet 2 inches, convert 8 feet to inches by multiplying the amount of feet, 8, by 12.

8(12) = 96 (therefore 8 feet is equal to 96 inches!)

and add the remaining 2 inches.

96 + 2 = 98 (therefore 8 feet 2 inches is equal to 98 inches!)

(3 feet 6 inches) + (8 feet 2 inches) + (4 inches) + (2 feet 5 inches)

nothing needs to be done to this quantity since it's already in inches.

(3 feet 6 inches) + (8 feet 2 inches) + (4 inches) + (2 feet 5 inches)

for your fourth measurement, 2 feet 5 inches, convert 2 feet to inches by multiplying the amount of feet, 2, by 12.

2(12) = 24 (therefore 2 feet is equal to 24 inches!)

and add the remaining 5 inches.

24 + 5 = 29 (therefore 2 feet 5 inches is equal to 29 inches!)

now, here is the expression with everything in inches.

42 inches + 98 inches + 4 inches + 29 inches aka 42 + 98 + 4 + 29

now add everything up!

42 + 98 + 4 + 29 = 173 inches

your total is 173 inches! i hope this helps and i hope i explained it well enough. have a lovely day! <3

5 0

3 years ago

A line that includes the point (7, -2) has a slope of 1. What is its equation in slope-intercept

kompoz [17]

Answer:

Y = x - 9

Step-by-step explanation:

A slope of 1 = x

So we have

Y = x

To find y intercept we do

7 - (-2) = 9

So we have a y-intercept of 9

Y = x - 9

6 0

2 years ago

The quadratic function below has an axis of symmetry through x = -4; a vertex at (-4, -9) and zeroes at x = -7 and x = 0.

Pavlova-9 [17]

Answer:

True

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 4, - 9), thus

y = a(x + 4)² - 9

To find a substitute the coordinates of the zero (- 7, 0) into the equation.

0 = a(- 7 + 4)² - 9, that is

0 = 9a - 9 ( add 9 to both sides )

9a = 9 ( divide both sides by 9 )

a = 1, thus

y = (x + 4)² - 9 ← expand factor using FOIL

y = x² + 8x + 16 - 9

y = x² + 8x + 7

4 0

2 years ago

You have $270 in your bank account. You plan to save $80 from your paycheck each week. Which graph shows your bank account balan

elixir [45]

Y=80x+270
If you want to know how to do it just let me know

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3 years ago

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kolezko [41]

Answer:

$\huge{\textbf{\textsf{{\color{skyblue}{An}}{\blue{sw}}{\red{er}}{\color{red}{:}}}}}$

$\sqrt[3]{8 \times 1000} \\ = 2 \times 10 \\ 20$

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3 years ago

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In the given figure ABCD is a parallelogram. Find the value of x.​

In the given figure ABCD is a parallelogram. Find the value of x.