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schepotkina [342]
4 years ago
6

In each diagram the line BD bisects angle ABC. Find the measure of angle ABC​

Mathematics
1 answer:
Goshia [24]4 years ago
7 0

Answer:

80°

Step-by-step explanation:

∠ABC= ∠ABD+∠CBD

as BD bisects ∠ABC, we have

  • ∠ABD=∠CBD
  • 2x+20°= 4x
  • 2x=20°
  • x=10°

∠ABC= 2*4x= 8x= 80°

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what is the slope intercept form of the linear equation with a graph that passes through (-2,2) and is perpendicular to the grap
qwelly [4]

Hey there!!

Steps to get into equation which is perpendicular:

  • Change the slope
  1. The slope of a perpendicular line is always negative reciprocal.
  • Take the point and get that into point-slope form.
  1. y - y = m ( x - x )
  • Convert this equation into slope-intercept form.

'm' is the slope.

We have the slope as 1/3

The perpendicular slope would be -3.

Point slope:

The point = (-2,2)

y - 2 = -3( x - (-2) )

y - 2 = -3(x+2)

y - 2 = -3x -6

Adding 2 on both sides:

y = -3x - 4

<em>Hence, the equation would be : </em>

<u><em>y = -3x - 4 </em></u>

Hope it helps!


7 0
3 years ago
the width of a rectangle is 3 units less than the length. if the area is 130 square units, then find the dimensions of the recta
Basile [38]

Answer:

Length = 10

Width = 13

Step-by-step explanation:

If the width of a rectangle is 3 units less than the length and if the area is 130 square units, the length is 10 units and the width is 13 units.

Formula: A=wl

Therefore, you have to find what two numbers multiply together in order to recieve 130 units.

A=wl=13·10=130

4 0
4 years ago
Read 2 more answers
Which ordered pair is the solution to the system?
Novosadov [1.4K]

Answer:

C. (4,-7)

Step-by-step explanation:

To answer this question, I just graphed the two equations. Then I found where they intersected.

6 0
3 years ago
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il63 [147K]
Y=3/4x+2 is the equation

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3 years ago
write an equation of the line that's passes through the point (1,6) and is parallel to the line whose equation is y= 3x - 5
Alex Ar [27]
Parallel lines have the same slope.
so to find any line, you need a set of points, and a slope.
we already have the slope, being 3.
so, use the equation
y- (y-point)/ x-(x-point)=slope.
y-6. 3
---- = ---- (make it a fraction by puttingitover 1)
x-1. 1
cross multiply.
1(y-6)=3 (x-1)
y-6=3x-3
add 6 to both sides
Final answer: Y=3x+3
7 0
3 years ago
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