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2 years ago

Fill in the blanks. Use lower case.

Mathematics

1 answer:

ankoles [38]2 years ago

7 0

Mathematical proofs are used to determine if a conjecture or statement is true, or otherwise.

The blanks will be filled with the following texts

Given
$\mathbf{\angle 1 \cong \angle 2}$
Proved

From the question, the following parameters are given:

$\mathbf{\angle 1 \cong \angle 2}$ and $\mathbf{l \perp 1}$

This means that, the first blank will be completed with given.

By converse of alternate interior angles theorem

$\mathbf{\angle 1 \cong \angle 2}$ --- angle 1 and angle 2 are congruent

So, the second blank will be completed with $\mathbf{\angle 1 \cong \angle 2}$

The above statement means that:

$\mathbf{l \perp 1}$ has been proved

Hence, the last blank will be completed with proved.

Read more about mathematical proofs at:

brainly.com/question/2010495

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PLEASE HELP ME!! THANK YOU!!

Tems11 [23]

9514 1404 393

Answer:

[-4,3]

Step-by-step explanation:

The domain is the left-right (horizontal) extent of the function. The dots at the end of the continuous line are solid, so the brackets on the interval are square brackets.

The left dot is at x=-4; the right dot is at x=3, so the domain is ...

[-4,3]

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3 years ago

Please help me! Giving brainliest!

oksano4ka [1.4K]

Using it's formula, the surface area of the figure is:

A. S=2332 m²

<h3>What is the surface area of a rectangular prism?</h3>

The surface area of a rectangular prism of dimensions l, w and h is given by:

S = 2(lw + lh + wh)

In this problem, the dimensions are:

35m, 9m, 16m

Hence the surface area of the rectangular prism is:

S = 2(35 x 9 + 35 x 16 + 16 x 9) = 2038 m².

<h3>What is the surface area of a cube?</h3>

The surface area of a cube of side length l is given by:

S = 6l².

In this problem, we have that l = 7 m, hence the surface area is:

S = 6 x 7² = 294 m².

<h3>What is the total surface area?</h3>

The total surface area is the sum of the surface areas, hence:

T = 2038 m² + 294 m² = 2332 m².

Which means that option A is correct.

More can be learned about surface area at brainly.com/question/13030328

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5 0

2 years ago

A regression by a sample of 10 observations gives: Score=49.5+1.96 Study Hours. The sample mean of study hour is 10.5 and sum of

amm1812

Answer:

0.1463

Step-by-step explanation:

Number of observations = 10

Sample mean = 10.5

Sum of standard deviation = 264.5

X = 14

We are to calculate The leverage statistic for study hour 14 using the data above

= 1/10 + (14-10.5)²/264.5

= 1/10 + 3.5²/264.5

= 0.1 +12.25/264.5

= 0.1+0.04631

= 0.1463 is the leverage statistic for the study

4 0

3 years ago

Slope of (-2,-3) and (6,2)

alexira [117]

$\frac{5}{8}$ is the slope between these two points.

To figure out the slope between two points, we need to find the rise over run, which is the change in the <em>y value over the change in the x value</em>. This becomes:

$\frac{2 - (-3)}{6 - (-2)}$

And simplifies to:
$\frac{5}{8}$ , meaning that the slope between these two points is $\frac{5}{8}$ .

4 0

3 years ago

Translate the figure 5 units up. Then decide if each statement about translated figures is true or false,

m_a_m_a [10]

Answer:

First, second, and third are true.

Fourth is false.

Step-by-step explanation:

1. When we're translating a figure, everything about the figure stays the same except its location on the coordinate plane. The side lengths, the angle measures, and parallel sides will not change.

2. The fourth one is false because two figures/objects are congruent if they have the same shape and size. Since translation only affects the location on a coordinate plane, the original and final figure are congruent.

5 0

3 years ago