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Nataliya [291]
3 years ago
6

1

Mathematics
1 answer:
Tasya [4]3 years ago
6 0

Given:

A horizontal line passes through the  point (0,4).

A vertical line passes  through the point (-16,0).

To find:

The intersection point of these two lines.

Solution:

A horizontal line passes through the  point (0,4). It means the y-coordinate of each point on the line is 4 and the equation of the line is

y=4

A vertical line passes  through the point (-16,0). It means the x-coordinate of each point on the line is -16 and the equation of the line is

x=-16

So, the coordinates of the intersection point of these two lines are (-16,4).

Therefore, the required point is (-16,4).

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Step-by-step explanation:

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3 years ago
The composite figure is made up of a triangular prism and a pyramid. The two solids have congruent bases.
kolezko [41]
The correct question is
The composite figure is made up of a triangular prism and a pyramid. The two solids have congruent bases. What is the volume of the composite figure<span>?
</span>
the complete question in the attached figure

we know that
[volume of a cone]=[area of the base]*h/3
[area of the base]=22*10/2-------> 110 units²
h=19.5 units
[volume of a cone]=[110]*19.5/3------> 715 units³

[volume of a triangular prism]=[area of the base]*h
[area of the base]=110 units²
h=25 units
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[volume of a the composite figure]=[volume of a cone]+[volume of a <span>a triangular prism]

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the answer is
The volume of a the composite figure is 3465 units³

4 0
3 years ago
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The ratio of dogs to cats at an animal shelter is 3 to
Morgarella [4.7K]
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Find the gcf and lcm of 10and15
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Question 9
True [87]

Answer:

17

Step-by-step explanation:

m<1 = (4x + 2)

m<3 = (5x - 15)

To find the value of x, we need to generate an equation.

<1 and <3 are vertical angles. Vertical angles are congruent. Therefore:

m<1 = m<3

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Use this equation to solve for x

4x + 2 = 5x - 15

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4x + 2 - 5x = 5x - 15 - 5x

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Subtract 2 from both sides

-x + 2 - 2 = -15 - 2

-x = -17

Divide both sides by -1

x = 17

5 0
3 years ago
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