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3 years ago

What is the measure of the exterior angle at D?

Mathematics

1 answer:

coldgirl [10]3 years ago

7 0

Answer:

360-63

=297 my guy

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Given a consumption function of c = $25 + 0.75yd, the average propensity to consume equals 1 when disposable income equals

Sphinxa [80]

Answer: Disposable income = $100.

Explanation:

Since we have given that

$C=\$25+0.75Y$

And, average propensity to consume = 1

i.e. APC = 1

As we know the formula of APC ,

$APC=\frac{C}{Y}=1\\\\\implies C=Y$

So, our equation becomes,

$Y=\$25+0.75Y\\\\Y-0.75Y=\$25\\\\0.25Y=\$25\\\\y=\frac{25}{0.25}\\\\Y=100$

Hence, Disposable income = $100.

7 0

3 years ago

What is the mean (average) of the following numbers 45, 55, 53, 59, 47 and 41

lutik1710 [3]

45
55
53
59
47
41
_______
6) 300
Mean = 50

8 0

3 years ago

Solve the inequality below<br> -3(11 + 6x) < -42 - 9x

GarryVolchara [31]

Answer:

$x>1$

Step-by-step explanation:

$-3(11 + 6x) < -42 - 9x$

Expand:

$-33-18x$

Add 33 to both sides:

$-33-18x+33$

$-18x$

Add 9x to both sides:

$-18x+9x$

$-9x$

Flip the signs (and the symbol)

$9x>9$

Divide both sides by 9:

$\frac{9x}{9}>\frac{9}{9}$

$x>1$

5 0

3 years ago

What is the area of trapezoid ABCD ? Enter your answer as a decimal or whole number in the box. Do not round at any steps. units

lidiya [134]

Answer:

37.5 sq. units.

Step-by-step explanation:

The coordinate of vertices of trapezoid ABCD are given,

From the diagram it is clear the area of ABCD = $\frac{1}{2}\times AB \times (AD + BC)$ {Since, AD ║ BC and AB is the perpendicular distance between the parallel lines }

Now, AB = $\sqrt{(- 3 - 1)^{2}+ (2 - 5)^{2} } = 5$ units

AD = $\sqrt{(- 3 - 0)^{2}+ (2 - (-2))^{2} } = 5$ units

Again, BC = $\sqrt{(1-7)^{2}+ (5 - (-3))^{2} } = 10$ units

Therefore, the area of trapezoid ABCD = $\frac{1}{2} (10 + 5) \times 5 = 37.5$ sq. units. (Answer)

We know, that the distance formula between two points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ is

$\sqrt{(x_{1} - y_{1} )^{2} + (x_{2} - y_{2} )^{2} }$ .

7 0

3 years ago

the perimeter of a rectangular field is 322 yards. if the length of the field is 88 yards, what is the width

eduard

The perimeter of a rectangle is founded by length plus length plus width plus width

So, we put that information into an expression

P=2l+2w

322=2(88)+2w

Simplify 2(88) which is 176

322=176+2w

Move 176 to the other side as a negative number

322-176=2w

146=2w

Divide both sides by two

146/2=2w/2

146/2 is 73

Therefore, the width of the fie,d is 73 yards

5 0

3 years ago