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2 years ago

What is the measure of ABC?

Mathematics

1 answer:

leva [86]2 years ago

4 0

Answer:

Step-by-step explanation:

the measure of the chord- chord angle ABC is half the sum of the arcs intercepted by the angle and its vertical angle , that is

∠ ABC = $\frac{1}{2}$ (AC + DE) = $\frac{1}{2}$ (75 + 45)° = $\frac{1}{2}$ × 120° = 60°

You might be interested in

12 times x plus 3 equals negative 8 x

lesya [120]

Answer:

-3/20

Step-by-step explanation:

12 * x + 3 = -8x

Make sure to use PEMDAS.

12x + 3 = -8x

Add 8x to both sides of the equation.

20x + 3 = 0

Subtract 3 to get 20x alone.

20x = -3

Divide both sides by 20.

x = $\frac{-3}{20}$

6 0

3 years ago

Ian’s monthly allowance is $21. In January he starts saving for a birthday gift in June. Each month he saves 2/3 of his allowanc

Art [367]

He starts saving $ in January to buy a gift in June. (which is 6 months, or 5 months not including June)

Each month he saves 2/3 of his allowance, which is $14.

[his allowance each month is $21, 2/3 of his allowance is $14]

(you multiply 21 by 2/3 = 42/3 = 14)

The gift he wants to buy is $110

x = the number of months

y = total cost

14x = y

14x = 110 [he saves $14 each month, he wants to have a total of $110 to buy a gift]

Plug in 6 for x in the equation

14(6) = 110

84 = 110 (He is $26 short, so saving either for 5 or 6 months will not get Ian $110)

Ian will not have enough money because he is $26 short for 6 months or $40 short for 5 months. (you can decide whether you want to go by 5 months or 6(including June), sorry for the confusing answer)

4 0

3 years ago

Maria has a business designing and making custom T-shirts. Her cost for materials, in thousands of dollars, is given by M(t)=−3

Lady_Fox [76]

Answer:

$P(t) = -t^2 + 12t$

Step-by-step explanation:

Given

$M(t) = -3t^2 + 36t$ -- Cost

$S(t) = -4t^2 + 48t$ --- Income

Required

Determine P(t)

P(t) is calculated as:

$P(t) = Income - Cost\\$

$P(t) = S(t) - M(t)$

$P(t) = -4t^2 + 48t -(-3t^2 + 36t)$

Open bracket

$P(t) = -4t^2 + 48t +3t^2 - 36t$

Collect Like Terms

$P(t) = 3t^2 -4t^2 + 48t- 36t$

$P(t) = -t^2 + 12t$

3 0

3 years ago

Angelo bought apples and bananas at the fruit stand. He bought 20 pieces of fruits and spent $11.50. Apples cost $0.50 and banan

Cerrena [4.2K]

<h2>Steps</h2>

So for this system, one equation will represent the number of fruit and the other equation will represent the combined total of the fruit. (Let x = apples and y = bananas):

$x+y=20\\0.5x+0.75y=11.50$