Please see attached file for the triangle’s figure:
Going with the image attached, if DE is parallel to BC<span>
then
<span>4: (4 + 5) = 6 : (6 + 7).
Therefore, the inequality that she will use to contradict the assumption</span>
is 4:9 ≠ 6:13</span>.
To add, a relation that holds
between two values when they are different in mathematics is called an inequality. A is not equal to b also means the notation a ≠ b.
<span><span>
</span>Inequalities are governed by the following properties<span>:
Transitivity</span></span>
Converse
Addition and subtraction
Multiplication and division
Additive inverse
Multiplicative inverse
<span>Applying a function to both sides</span>
things were not as complicated when I was in middle school.
Answer:
76.8
Step-by-step explanation:
Using the proportion
→ Percent is out of 100
= 
( cross- multiply )
100n = 7680 ( divide both sides by 100 )
n = 76.8
Answer:
52degrees
Step-by-step explanation:
Let the measure of the largest angle be x
middle angle be y
smallest angle be z
Since the sum of angle in a triangle is 180 degrees, hence;
x + y + z = 180 .... 1
If the measure of the largest angle is 32 less than 3 times the smallest angle, then;
x = 3z - 32
3z = x+ 32
z = x+32/3 ..... 2
If he measure of the middle angle is 8 more than half the measure of the largest angle, then;
y = x/2 + 8 .... 3
Substitute 2 and 3 into 1;
x + x/2 + 8 + (x+32)/3 = 180
multiply through by 6
6x + 3x + 48 + 2(x+32) = 1080
9x + 48 + 2x + 64 = 1080
11x + 112 = 1080
11x = 1080-112
11x = 968
x = 968/11
x = 88 degrees
Get the middle angle y;
Since y = x/2 + 8
y = 88/2 + 8
y = 44 + 8
y = 52 degrees
Hence the measure of the middle angle is 52degrees
Leannie bought 5 of Dr. Mumin’s book and 3 of Dan Moyer’s book
