Solution:
In a vocabulary list ,within a study guide, if we are defining something
It should never be written in abbreviated form because some words are difficult to understand in abbreviated form and chances of getting confused are higher while reading.
It is better if we start writing Definition in
Arranging in alphabetical order and then writing in complete sentences.
But writing in complete sentences of any vocabulary must be first priority.
Option (C) In complete Sentences
<span>Simplifying
7 + -2(2 + 3x) = 27
7 + (2 * -2 + 3x * -2) = 27
7 + (-4 + -6x) = 27
Combine like terms: 7 + -4 = 3
3 + -6x = 27
Solving
3 + -6x = 27
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -6x = 27 + -3
Combine like terms: 3 + -3 = 0
0 + -6x = 27 + -3
-6x = 27 + -3
Combine like terms: 27 + -3 = 24
-6x = 24
Divide each side by '-6'.
x = -4
Simplifying
x = -4</span>
Answer:
10 quarters
40 dimes
Step-by-step explanation:
q + d = 40
25q + 10d = 625
25 > 10
q < d
25(10) = 250
10(40) = 400
$2.50 + $4.00 = $6.00
A) Height -7 = base
B) .5 * height * base = 60
Substituting A into B
B) .5 * height * (height -7) = 60
B) .5*height^2 -3.5*height = 60
B) .5*height^2 -3.5*height -60 = 0
Using the quadratic formula:
Height = 15
Subtracting 7 gives us the base length
Base = 8
**************************************************************
Double-Check
.5 * 15 * 8 = 60
It's an isosceles triangle, therefore m∠B = m∠C.
We have the equation:
2x + 10 = 3x - 5 <em>subtract 10 from both sides</em>
2x = 3x - 15 <em>subtract 3x from both sides</em>
-x = -15 <em>change the signs</em>
x = 15
m∠B = (2x + 10)°
m∠B = (2 · 15 + 10)° = (30 + 10)° = 40°
We know, the sum of measures of a tringle is equal 180°.
m∠A + m∠B + m∠C = 180°
m∠B = m∠C = 40°
<h3>Answer: ∠B = 40° and ∠C = 40°</h3>