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Grace [21]
2 years ago
7

What is the measure of ABC?

Mathematics
1 answer:
leva [86]2 years ago
4 0

Answer:

B

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°

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Which is the equation in point-slope form of the line that passes through the point (1,-1) and has a slope of 4
Leviafan [203]

Answer:

y = 4x -5

Step-by-step explanation:

Gradient is also known as slope . The gradient of a line is represented by the equation

Slope (m)  = y - y1/ x - x1

Where m = 4 , x1= 1 and y1 = -1

Imputing the values into the equation

m = y - y1/ x - x1

4 = y -  -1/x - 1

Cross multiply, we have

y + 1= 4(x - 1)

Expand

y+1= 4x - 4

Subtract 1 from both sides

y+1-1= 4x -4-1

y = 4x -5

I hope this was helpful, please mark as brainliest

7 0
4 years ago
devi bought 7 skirts at x$ each n skirts at 12$ each 2n +1 at 15 each a nd 4 skirts at $3x find the total
nikitadnepr [17]

Answer:

$(19x + 42n + 15)

Step-by-step explanation:

Devi bought 7 skirts at $x each, n skirts at $12 each, (2n + 1) skirts at $15 each and 4 skirts at $3x each. Find the total cost of the skirts she bought.​

total cost of the skirt bought can be determined by adding the  total costs of each shirt bought

7 skirts at $x each = $7x

n skirts at $12 each = $12n

(2n + 1) skirts at $15 = (2n + 1) x 15 = 30n + 15

4 skirts at $3x each = $12x

7x + 12n + 30n + 15 + 12x

combine like terms

19x + 42n + 15

7 0
3 years ago
The library surveyed 200 people about their favorite type of movie. if 40% chose action, how many people chose action.
ivann1987 [24]
80 people chose action
6 0
3 years ago
Read 2 more answers
Find the angle between the vectors. (first find an exact expression and then approximate to the nearest degree.) a = 1, −4, 1 ,
qaws [65]

The formula of the dot product of two vectors:

\overrightarrow{a}\circ\overrightarrow{b}=|\overrightarrow{a}|\cdot|\overrightarrow{b}|\cos\alpha\to\cos\alpha=\dfrac{\overrightarrow{a}\circ\overrightarrow{b}}{|\overrightarrow{a}|\cdot|\overrightarrow{b}|}

We have:

\overrightarrow{a}=[1,\ -4,\ 1]\\\\\overrightarrow{b}=[0,\ 3,\ -3]

Calculate the dot product:

\overrightarrow{a}\circ\overrightarrow{b}=1\cdot0+(-4)\cdot3+1\cdot(-3)=-15

Calculate the lengths of vectors:

|\overrightarrow{a}|=\sqrt{1^2+(-4)^2+1^2}=\sqrt{18}=\sqrt{9\cdot2}=\sqrt9\cdot\sqrt2=3\sqrt2\\\\|\overrightarrow{b}|=\sqrt{0^2+3^2+(-3)^2}=\sqrt{18}=\sqrt{9\cdot2}=\sqrt9\cdot\sqrt2=3\sqrt2

Substitute:

\cos\alpha=\dfrac{-15}{3\sqrt2\cdot3\sqrt2}=\dfrac{-15}{9\sqrt4}=-\dfrac{15}{18}\approx-0.8333\to\alpha\approx146^o

Answer: Measure of the angle between the vectors a and b is equal 146°.

5 0
3 years ago
A six sided die is rolled. Find the probability of rolling a number less than 4
Tomtit [17]

Answer:

1/2 (1 half)

Step-by-step explanation:

any number less than 4 is "1,2, and 3" and a standard die has 6 numbers. so if you have 3 out of 6 is equivalent to 1/2

3 0
3 years ago
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