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harkovskaia [24]
4 years ago
15

Given triangle ABC with angle ABC congruent to angle ACB, which step could be used to prove that side AB is congruent to side AC

?
A) Construct a midpoint on segment AB
B) Construct a midpoint on segment BC
C) Construct a bisector of angle BAC
D) Construct a bisector of angle ABC
Mathematics
1 answer:
Illusion [34]4 years ago
3 0
An appropriate step is ...
  C) Construct a bisector of angle BAC

_____
I suppose you could get there faster by claiming ΔABC ≅ ΔACB by ASA, then AB ≅ AC by CPCTC.
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8 0
3 years ago
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3 0
3 years ago
Question 5(Multiple Choice Worth 1 points)
Snezhnost [94]

Given:

The graph passes through the points (0,-20) and (4,10).

To find:

The equation of line that most closely represents the line depicted in the graph.

Solution:

If a line passing through two points, then the equation of line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

The given line passes through the points (0,-20) and (4,10). So, the equation of line is

y-(-20)=\dfrac{10-(-20)}{4-0}(x-0)

y+20=\dfrac{10+20}{4}(x)

y+20=\dfrac{30}{4}x

y+20=\dfrac{15}{2}x

Subtracting 20 from both sides, we get

y=\dfrac{15}{2}x-20

The function form is

f(x)=\dfrac{15}{2}x-20

f of x equals fifteen halves times x minus 20.

Therefore, the correct option is B.

7 0
3 years ago
The length is 3 inches more than twice the width. Which expression represents the perimeter of the frame in inches?
9966 [12]

Answer:

(6W+6)\ in

Step-by-step explanation:

we know that

The perimeter of a rectangle is equal to

P=2(L+W) ----> equation A

where

L is the length

W is the width

we have

The length is 3 inches more than twice the width

so

L=2w+3 ----> equation B

substitute equation B in equation A

P=2(2W+3+W)

Combine like terms

P=2(3W+3)\\P=(6W+6)\ in

8 0
3 years ago
victor wants to make a book tower of height 4m. If the thickness of each book is 50 cm how many will he need to make the desired
igor_vitrenko [27]

Answer:

Explained below

Step-by-step explanation:

We know (hopefully) that 100 centimeters is equal to 1 meter.

The expression should essentially be 400/50.

400/50 = 8

Victor would need 8 books to make a tower with the height of 4 meters.

By the way 50 centimeters per book is a pretty hefty book, would be as thick as my hand pointing upwards.

8 0
2 years ago
Read 2 more answers
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