Which inequality describes all possible lengths of segment AB?

Marina CMI [18]

since BA ≅ BC, that means is an isosceles triangle, whose twin sides make twin angles at the <u>base</u>, namely the interior angles at A and C are both twin angles, and their exterior angles at those point are also twins, check the picture below.

that simply means that "x" and "y" are linear angles, therefore

x + y = 180°

117 + y = 180

y = 180 - 117

y = 63.

8 0

4 years ago

Tamara purchased 1,500 shares of a mutual fund at an offer price of $7.08 per share. Later she sold the investment for $10.02 pe

den301095 [7]

Answer:

Return of investment = 44.5%

Step-by-step explanation:

Number of shares purchased by Tamara = 1500

Offer price per share = 7. 08

Total amount spent on purchasing shares = 1500 × 7.08 = 10620

Dividend receive per share = 0.21

Total dividend received on 1500 shares = no. of shares × dividend received per share

Total dividend received = 1500 × 0.21 = 315

Selling price per share = 10.02

Amount received by Tamara by selling the investment = no. of shares × selling price per share

Amount received by Tamara by selling the investment

= 1500 × 10.02

= 15030

Now, Net profit received on investment = S.P of Investment + Dividend received - C.P of investment

Net profit = 15030 + 315 - 10620 = 15345 - 10620 = 4725

Return on investment = $\frac{Net\ profit}{Cost\ of\ investment} \times 100$

= $\frac{4725}{10620} \times 100 = 44.49%$

≈ 44.5 %

6 0

4 years ago

As an estimation we are told that 5 miles is 8km convert 12 km to miles

MAVERICK [17]

Answer:

7.5 miles

Step-by-step explanation:

to convert from 8km to 12km, multiply by 1.5.

Do the same to the other side, so 5 miles times 1.5 is 7.5 miles

8 0

2 years ago

What should mark charge for a package of paper plates in his store if he bought them for $9.00 and wants to make a 75% profit?

Lelu [443]

$11.25 for a pack of paper plates, hope this helps

3 0

3 years ago

(Hypothetical.) Suppose five measurements of the volume of a liquid yield the following data (in milliliters).

Digiron [165]

Answer:

The 95% confidence interval for the measurements is [48.106, 53.494].

Step-by-step explanation:

The average M of this sample is

$M=\dfrac{1}{5}\sum_{i=1}^5x_i=\dfrac{1}{5}(52+48+49+52+53)\\\\\\M=\dfrac{254}{5}=50.800$

The standard deviation s of this sample is

$s=\sqrt{\dfrac{1}{(n-1)}\sum_{i=1}^5(x_i-M)^2}$

$s=\sqrt{\dfrac{1}{4}\cdot [(52-50.8)^2+(48-50.8)^2+(49-50.8)^2+(52-50.8)^2+(53-50.8)^2]}$

$s=\sqrt{\dfrac{1}{4}\cdot [(1.44)+(7.84)+(3.24)+(1.44)+(4.84)]}=\sqrt{\dfrac{18.8}{4}}=\sqrt{4.7}\\\\\\s=2.168$

The degrees of freedom are

$df=n-1=5-1=4$

Then, the critical value of t for a 95% CI and 4 degrees of freedom is t=2.776.

The margin of error of the CI is:

$E=t\cdot s/\sqrt{n}=2.776\cdot 2.17/\sqrt{5}=6.024/2.236=2.694$

Then, the lower and upper bounds of the CI are:

$LL=50.800-2.694=48.106\\\\UL=50.800+2.694=53.494$

The 95% confidence interval for the measurements is [48.106, 53.494].

4 0

4 years ago

Which inequality describes all possible lengths of segment AB?​

Which inequality describes all possible lengths of segment AB?