So, you start by separating the equation into two inequalities and you get
4x+1 > -7 and 4x +1 < 5
Solve these inequalities and you get your final answer:
x > -2 and x < 1
(The equalities symbols are supposed to have the "or equal" line beneath them, I was just too lazy to put them.)
The factorization of the numbers is obtained as
(a) 36 = 2² x 3²,
(b) 60 = 2² x 3 x 5,
(c) 84 = 2² x 3 x 7,
(d) 99 = 3² x 11 and
(d) 180 = 2² x 3² x 5
<h3>Factor of the numbers</h3>
To factorize the numbers we use their factors as show below;
<h3>Factors of 36</h3>
36 = 2² x 3²
<h3>Factors of 60</h3>
60 = 2² x 3 x 5
<h3>Factors of 84</h3>
84 = 2² x 3 x 7
<h3>Factors of 99</h3>
99 = 3² x 11
<h3>Factors of 180</h3>
180 = 2² x 3² x 5
Thus, the factorization of the numbers is obtained as 36 = 2² x 3², 60 = 2² x 3 x 5, 84 = 2² x 3 x 7, 99 = 3² x 11 and 180 = 2² x 3² x 5.
Learn more about factorization here: brainly.com/question/25829061
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When you move a shape via rigid transformations, the dimensions of the shape do not change.
<h3>What is the congruent triangle?</h3>
Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
You can rotate A.ABC' clockwise to get 4.A' B'C" . Finally you can translate A4' B'C"' down to become AA" B"C" 2019 StrongMind.
When two triangles are congruent to each other, each triangle has six parts (three angles and three sides) that are congruent to those six parts of the other triangle.
When you move a shape via rigid transformations, the dimensions of the shape do not change.
This includes translation and rotation. Since the size or measure of any of the side lengths or angles is not changing when you move the shape,
the only way that you can match one shape onto another with rigid transformations is if all of the corresponding sides and angles are congruent.
Learn more about triangles;
brainly.com/question/8797380
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Answer:
13/52 (0.25) (25%)
Explanation:
There are 52 cards in a standard deck and there are four suits.
52/4 = 13
So, the probability (assuming that’s what you are asking for) is a 13/52 chance you will pull a hearts card.
