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>
Answer:
Rounded to the nearest integer, the test had 18 problems in all.
Step-by-step explanation:
Given that a student missed 10 problems on an English test and received a grade of 44%, if all the problems were of equal value, to determine how many problems were on the test the following calculation must be performed:
100 - 44 = 56
56 = 10
100 = X
100 x 10/56 = X
1,000 / 56 = X
17.85 = X
Thus, rounded to the nearest integer, the test had 18 problems in all.
Answer:
vertex: (2,-18)
Step-by-step explanation:
y = ax² + bx + c
(-1,0) : a - b + c = 0 ...(1)
(5,0) : 25a +5b +c = 0 ...(2)
(0,-10): 0a + 0b + c = -10 c=-10
(1) x5: 5a - 5b + 5c = 0 ...(3)
(2)+(3): 30a + 6c = 0 30a = -6c = 60 a = 2
(1): 2 - b -10 = 0 b = -8
Equation: y = 2x² - 8x -10 = 2 (x² -4x +4) - 18 = 2(x-2)² -18
equation: y = a(x-h)²+k (h,k): vertex
vertex: (2,-18)
180-50 would be 130.
The missing angle is 130 degrees
Answer:x = 75
Step-by-step explanation:y=105 - 5 = 100 ft
z=125 ft
dz/dt=2 ft/sec
by using Pythagorean Theorem, we find x
x^2 + 100^2 = 125^2
x = 75
