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ValentinkaMS [17]
3 years ago
7

What is the measure of ABC

Mathematics
2 answers:
storchak [24]3 years ago
8 0

Heyo, I believe the answer is 44 since we're talking about inscribed angles which is 1/2 of the arc length so 88/22=44

lubasha [3.4K]3 years ago
5 0

Answer:

C. 44^{\circ}

Step-by-step explanation:

We have been given am image of a circle. We are asked to find the measure of angle ABC.

We can see that angle ABC is an inscribed angle for our given angle. Angle ABC is an inscribed angle of arc AC.

We know that measure of an inscribed angle is half the measure of intercepted arc.

m\angle ABC=\frac{1}{2}(\text{Measure of arc AC})

m\angle ABC=\frac{1}{2}(88^{\circ})

m\angle ABC=44^{\circ}

Therefore, measure of angle ABC is 44 degrees and option C is the correct choice.

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As we can see this line hits the y-axis at (0,3)-->> y-intercept=3

Thus, your answer.
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3 years ago
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Complete the equation of the line through (-8, -2) and (-4, 6).<br> Use exact numbers.
saveliy_v [14]
Use the slope formula and slope-intercept form Y=Mx+b to find the equation.
Y=2x + 14
3 0
3 years ago
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Helppop!!A car and van are driving on a highway. The table shows the amount y (in gallons) of gas in the cars gas tank after dri
Korvikt [17]

Answer:

The car uses less gas

They use the same amount of gas after \frac{640}{7} miles

Step-by-step explanation:

Given

The table represents the car mileage

y = -\frac{1}{5}x + 31 --- The van

First, calculate the car's slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

From the table, we have:

(x_1,y_1) = (60,13.5);\ \ (x_2,y_2) = (180,10.5)

So, we have:

m = \frac{10.5 - 13.5}{180 - 60}

m = \frac{-3}{120}

m = -\frac{1}{40}

Calculate the equation using:

y = -\frac{1}{40}(x - 60)+13.5

y = -\frac{1}{40}x + 1.5+13.5

y = -\frac{1}{40}x + 15

m = -\frac{1}{40} implies that for every mile traveled, the car uses 1/40 gallon of gas

Also:

y = -\frac{1}{5}x + 31 --- The van

By comparison to: y = mx + b

m = -\frac{1}{5}

This implies that for every mile traveled, the van uses 1/5 gallon of gas.

By comparison:

1/40 < 1/5

This means that the car uses less gas

Solving (b): Distance traveled for them to use the same amount of gas.

We have:

y = -\frac{1}{5}x + 31 --- The van

y = -\frac{1}{40}x + 15 --- The car

Equate both

-\frac{1}{5}x + 31 =-\frac{1}{40}x + 15

Collect like terms

\frac{1}{40}x -\frac{1}{5}x  =-31 + 15

\frac{1}{40}x -\frac{1}{5}x  =-16

Take LCM

\frac{x - 8x}{40} = -16

\frac{- 7x}{40} = -16

Solve for -7x

-7x = -640

Solve for x

x = \frac{640}{7}

5 0
3 years ago
Here is an array of ten integers 6 4 0 3 9 8 1 7 2 5
garik1379 [7]

Answer:

[4,0,3,1,2,5] and [6,9,8,7]

Step-by-step explanation:

GIVEN:  an array of ten integers 6,4,0,3,9,8,1,7,2,5.

TO FIND: If we partition this array using Quick sort's partition function and using 5 for the pivot. List the elements of the resulting array after the partition finishes.

SOLUTION:

quick sort is a divide and conquer algorithm in which an array is partitioned into sub-arrays about an pivot element by checking whether elements are greater than pivot or and then sub arrays are sorted recursively.

Here 5 is the pivot element.

two arrays will be created, in first array element less than or equal to pivot element are stored in other elements greater than pivot element are stored.

Starting from first element of array

elements in first array will be =[4,0,3,1,2,5]

elements in second array will be =[6,9,8,7]

Hence the resulting array after the partition finishes are [4,0,3,1,2,5] and [6,9,8,7]

6 0
3 years ago
Find the product of the following polynomials:
qaws [65]

Answer:

A)  -84x^3 - 8x

B)  -91x^4 + 143x^2 - 65x

C)  12b^2 - 7b - 10.

D)  16x^2 - 72x + 81

Step-by-step explanation:

A) -4x(21x^2-3x+2)  

B) -13x(7x^3-11x+5)

C) (3b+2)(4b-5)

D) (4x-9)^2

In A) -4x(21x^2-3x+2)  we are multiplying the binomial (21x^2-3x+2)  by the monomial -4x; there are two multiplications involved:  

-4x(21x^2) = -84x^3

and

-4x(-3x+2) = +12x^2 - 8x.

Hence A) -4x(21x^2-3x+2)   = -84x^3 - 8x

B)  The work done to find the product in B) is similar:  Multiply each term in 7x^3-11x+5 by -13x:

The end result is -91x^4 + 143x^2 - 65x

C) Here we are multiplying together two binomials; we use the FOIL method:  Multiply together the First terms, then the Outer terms, then the Inner terms, and finally the Last terms.  This results in:

(3b+2)(4b-5)  = 12b^2 -15b + 8b -10, or, after simplification, 12b^2 - 7b - 10.

In D) we are squaring a binomial.  The formula for this is:

(a - b)^2 = a^2 - 2ab + b^2.  Here,

(4x - 9)^2 = 16x^2 - 2(36x) + 81, or 16x^2 - 72x + 81

5 0
3 years ago
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