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Kamila [148]
3 years ago
11

Determine whether the triangles are congruent. Explain your reasoning .

Mathematics
1 answer:
Nookie1986 [14]3 years ago
6 0

Answer:

Step-by-step explanation:

First use the fact that the sum of interior angles of a triangle is 180° to find the measure of the missing angle

in ΔDEF we have 180 -68 -81 = 31°

in ΔABC we have 180 -68 -33 = 79°

the measure of the angles in ΔABC and ΔDEF are different 33°, 68°, 79° ≠81°, 68°, 31°so the two triangles are not congruent.

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What is the surface area of the prism?
Harman [31]
Area of lower rect + area of upper + 4 * sides rect areas

lower = upper rect

2 * rect1 + 4 * rect2

Area = 2 * 6 * 11 + 2 * 11 * 9 + 2 * 9 * 6 = 438 ft^2

or simply just take 2 ( and multiply each two sides.

5 0
3 years ago
On the last day of school the fifth grade class has a picnic at the city park. Exactly 182 students and 274 adults are signed up
mamaluj [8]

Answer:

38 Tables

Step-by-step explanation:

First, we need to add the number of students with the number of adults to get the total number of people attending the picnic.

182 + 274 = 456

Next, we divide that number by how many people fit at each table to find how many tables we need.

456 people ÷ 12 people at each table = 38 tables.

5 0
2 years ago
Use point-slope form to write the equation of a line that passes through the point (16,-14) with slope 11.
OlgaM077 [116]

The required point-slope form of the equation of the line is y - 5 = -4(x + 1).

Given that, To determine an equation in point-slope form for the line that passes through the point with the given slope. point: (-1, 5) and m=-4.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,

The point-slope of the equation of the line is given by,

y - y₁ = m(x - x₁)

Put the values in the above equation of the line

y - 5 = -4 (x - (-1))

y - 5 = -4 (x + 1)

Thus, the required point-slope form of the equation of the line is y - 5 = -4(x + 1).

Learn more about slopes visit:

brainly.com/question/3605446

#SPJ1

3 0
1 year ago
The students at a community center are participating in a bike riding fundraiser at a local park. A local company is donating $1
Oksi-84 [34.3K]

Answer:

This can not be properly answered, because we do not have the length of each trail.

The first step here will be find the length, in miles, for each of the four trails.

As students choose all four trails, the number of miles that each student will bike is equal to the addition of the lenght of the four trails.

Suppose this number is N.

So each student bike N miles, and the company donates $1.75 per mile. Then the amount of money that a single student is N times $1.75, or N*$1.75

5 0
3 years ago
PLEASE HELP I AM DESPERATE I WILL GIVE THANKS, 5 STARS, AND THE BRAINLIEST!!!
Amanda [17]

g(-2) + g(2) = 22

Step-by-step explanation:

For x = -2, g(x) = x^2 - 3x

or

g(-2) = (-2)^2 - 3(-2) = 4 + 6 = 10

For x = 2, g(x) = 12, therefore

g(-2) + g(2) = 10 + 12 = 22

3 0
3 years ago
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