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2 years ago

8) What are the measures of angles x, y, and z?

Mathematics

2 answers:

lakkis [162]2 years ago

8 0

Answer:

x = y = z = 55°

Step-by-step explanation:

x = 55° (vertical angles)

y = 55° (corresponding angles)

z = 55° (corresponding with x -> z = x)

UkoKoshka [18]2 years ago

5 0

Step-by-step explanation:

y=55°(corresponding angles are equal)

x=55°(alternate angles are equal).

z+55°=180°

=180-55=z

z=125°

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suppose that you have 3000$ to invest. which investment yields the greater return over a 10 year period: 8.04% compounded daily

Ksenya-84 [330]

Answer: Option A: 8.04% compounded daily

<u>Step-by-step explanation:</u>

$A = P\bigg(1+\dfrac{r}{n}\bigg)^{nt}\qquad where\\\\\bullet A = \text{accrued amount (principal plus interest earned)}\\\bullet P = \text{principal (amount invested)}\\\bullet r = \text{rate (in decimal form)}\\\bullet n=\text{number of times compounded in one year}\\\bullet t=\text{time (number of years)}\\\\\\Option\ A:\\A = \text{unknown}\\P=3000\\r=8.04\%\rightarrow 0.0804\\n=\text{daily}\rightarrow 365\\t=10\\\\A=3000\bigg(1+\dfrac{0.0804}{365}\bigg)^{365\times 10}\\\\.\ =\$ 6,702.79$

$Option\ B:\\A = \text{unknown}\\P=3000\\r=8.1\%\rightarrow 0.081\\n=\text{quarterly}\rightarrow 4\\t=10\\\\A=3000\bigg(1+\dfrac{0.081}{4}\bigg)^{4\times 10}\\\\.\ =\$ 6,689.37$

Option A results in the greater amount of money.

7 0

3 years ago

If the scale factor of two similar cylinders is 4:7, what is the volume ratio?

jekas [21]

Answer:

64 : 343

Step-by-step explanation:

When working with scale factors

Lengths are related by the scale factor

perimeters are related by the scale factor

areas are related by the scale factor squared

volumes are related by the scale factor cubed

The scale factor is 4:7

The volumes are related by 4^3 : 7^3

64 : 343

3 0

3 years ago

Read 2 more answers

What are the coordinates of the endpoints of the midsegment for DEF that is parallel to DE

Nutka1998 [239]

Answer:

$\left(\dfrac{x_D+x_F}{2},\dfrac{y_D+y_F}{2}\right),$ $\left(\dfrac{x_E+x_F}{2},\dfrac{y_E+y_F}{2}\right).$

Step-by-step explanation:

Let points D, E and F have coordinates $(x_D,y_D),\ (x_E,y_E)$ and $(x_F,y_F).$

1. Midpoint M of segment DF has coordinates

$\left(\dfrac{x_D+x_F}{2},\dfrac{y_D+y_F}{2}\right).$

2. Midpoint N of segment EF has coordinates

$\left(\dfrac{x_E+x_F}{2},\dfrac{y_E+y_F}{2}\right).$

3. By the triangle midline theorem, midline MN is parallel to the side DE of the triangle DEF, then points M and N are endpoints of the midsegment for DEF that is parallel to DE.

6 0

3 years ago

When using the given diagram to determine the area of the pentagon by decomposition, which statements are correct?:

pogonyaev

Answer:

Options (B) and (E)

Step-by-step explanation:

Area of ΔABC = $\frac{1}{2}(\text{Base})(\text{Height})$