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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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The length of a rectangle is 5 cm more than twice a number. the width is 4cm less than the same number. if the area of the recta

lana [24]

A = Lw (area of rectangle is length times width)
A = 15 (Area is 15)
L = 2x + 5 (length is 2 times a number plus another 5)
w = x - 4 (width is 4 less than that number

Plug in the values:
15 = (2x + 5)(x - 4)
FOIL
15 = 2x2 - 8x + 5x - 20
simplify:
15 = 2x2 - 3x - 20
Subtract 15
0 = 2x2 - 3x - 35
Factor out the quadratic. We know that one number has to be 7 and the other 5 so that they multiply together to make 35, and that one of them has to be negative so that it's actually -35.
That means we have m * n = -35
We also need it set up so that so that 2m + n = -3:
2 * -5 + 7 = -3
0 = (2x + 7)(x - 5)
So:
0 = 2x + 7, or 0 = x - 5
x = -7/2 or 5
We cannot have a negative length, so x = 5

Check:
15 = (2 * 5 + 5) (5 - 4)
15 = 15 * 1
15 = 15

7 0

1 year ago

In an experiment, a number cube is rolled 4 times. The number of times a 5 shows is recorded. Sixty trials of the experiment are

WARRIOR [948]

Using the probability concept, the distribution is given as follows:

P(X = 0) = 0.1.

P(X = 1) = 0.15.

P(X = 2) = 0.55.

P(X = 3) = 0.15.

P(X = 4) = 0.05.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

The distribution gives the <u>probability of each outcome</u>.

In this problem, there were 60 trials, hence the distribution is given as follows:

P(X = 0) = 6/60 = 1/10 = 0.1.

P(X = 1) = 9/60 = 3/20 = 0.15.

P(X = 2) = 33/60 = 11/20 = 0.55.

P(X = 3) = 9/60 = 3/20 = 0.15.

P(X = 4) = 3/60 = 1/20 = 0.05.

More can be learned about probabilities at brainly.com/question/143982877

#SPJ1

6 0

2 years ago

How do I solve |y-9| = 6? <br> 25 POINTS!

Arlecino [84]

Answer:

Step-by-step explanation:

3-9=-6 but absolute is 6

3 0

3 years ago

Complete the statement if 8 = m/4 then m - 12 =

Agata [3.3K]

8 = m/4

8(4) = m/4(4)
m = 8(4)
m = 32

m - 12 =
(32) - 12 =
20

Your answer is 20

Hope this helps

8 0

2 years ago

Kevin decides to build a square for his play park. If the area of the room is 4x^2 + 28x + 49 square feet, what is the length of

leva [86]

We have to factor becasue
area=legnth times width
area=4x^2+28x+49
area=(2x+7)(2x+7)
area=(2x+7)^2
legnth =width

we arent' given area so we can't solve
but, , since it is a squaer room, legnth=width so √area=legnth=width

8 0

3 years ago