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KonstantinChe [14]
3 years ago
6

Ray BD bisects 2ABC. Use the diagram and the given angle measure to

Mathematics
1 answer:
Alenkinab [10]3 years ago
5 0
Assuming you mean angle ABC and not 2ABC?
Since ray BD bisects angle ABC we can set the two angle measures given equal to each other.
2x+7=4x-41
Solve for x=24
Plug in the x to find angle ABD 2(24)+7=55
therefore angle ABD is 55 and angle DBC is 55 so angle ABC is 110
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The net of a pyramid is shown below. 4in 4in 4in 4in 8in. The surface area of the solid is __ square inches.
Inga [223]

Answer:

80 in.²

Step-by-step explanation:

The total surface area of the pyramid is the sum of the area of the base and the areas of the 4 triangular sides.

Square: area = s²

Square: side = 4 in.

Triangular side: area = bh/2

Triangular side: base = 4 in.; height = 8 in.

Area of the base: s² = (4 in.)² = 16 in.²

Total area of the 4 triangular sides: 4 × bh/2 = 2bh = 2 × 4 in. × 8 in. = 64 in.²

Surface area = 16 in.² + 64 in.² = 80 in.²

7 0
1 year ago
“The line that passes through point H has the equation y=-2x -3”
Katena32 [7]

Answer:

Step-by-step explanation:

Generally

The equation of a line is given as

y = mx + c

Where

m is the slope

c is the intercept on y axis

Note: if two lines are parallel, their slopes are equal

I.e M1 = M2 =m

If two lines are perpendicular, then, their slopes are given as

M2 = - 1/M1

Given that,

The line that pass through the point H has an equation

y = -2x-3

From equation of a line, we know that, the slope of the line that passes through H is -2

m = -2

We want to find the equation of a line parallel to line that passes through H

If the line we want to find is parallel to the given line, then, their slope are equal,

So, the slope of line that passes through point G is m=-2

So, the equation of the line that passes through point G is

y = mx + c, m=-2

y = -2x + c

So, we need to find c, so, using the point G it passes through,

G = (2,1) I.e x = 2 and y = 1

y = -2x + c.

1 = -2(2) + c

1 = -4 + c

1+4 = c

c = 5

So, the equation of the line that passes through G becomes

y = -2x + 5

3 0
3 years ago
Juan is drawing the two-dimensional net of a rectangular solid, but he made a mistake. What error did Juan make, and how can he
dsp73

Answer:

D.The prism is missing a sixth face, which should be colored white.

Step-by-step explanation:

The shape does not have 2 bases in the picture showed. Therefore, it needs another white square.

Hope it helps! have a good day! :)))))

7 0
3 years ago
Read 2 more answers
Find the area of the parallelogram
ryzh [129]

Answer:

8

Step-by-step explanation:

Its 8 because when you find the area it is just Base times height so when you do that you will get 8 for your answer.

6 0
3 years ago
Read 2 more answers
I don't understand the substitution method?
liq [111]
It depends on what variable you are tying to solve for first. Say you are trying to solve for x first and then y on the first problem you wrote.

In substitution you solve one of the equations for example with
6x+2y=-10
2x+2y=-10
you solve 2x+2y=-10 for x

2x+2y=-10
-2y = -2y (what you do to one side of the = you do to the other)
2x=-10-2y (to get the variable by its self you divide the # and the variable)
/2=/2 (-10/2=-5 and -2y/2= -y or -1y, they are the same either way)
x=-5-y

now you put that in your original equation that you didn't solve for:
6(-5-y)+2y=-10 solve for that
-30-6y+2y=-10 combine like terms
-30-4y=-10 get the y alone and to do this you first get the -30 away from it
+30=+30
-4y=20 divide the -4 from each side
/-4=/-4 (20/-4=-5)
y=-5

now the equation you previously solved for x can be solved for y.
x=-5-y
x=-5-(-5) a minus parenthesis negative -(- gives you a positive
-5+5=0
x=0

and now we have solved the problem. x=0 and y=-5

6 0
3 years ago
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