Answer:
18° and 72°
Step-by-step explanation:
Complimentary angles form 90°
We have an angle (x) 4 times larger than the other (y).
Well actually, a system of equations isn't required, so forget about x and y, just divide 90 by 5. This gives you 18, one of the angle's measurements is 18°. Multiply 18 by 4 and get 72. The other angle's measurement is 72°.
Answer: y = -4x-9
Step-by-step explanation:
parallel slope means it's the same slope as the given equation
y+1=-4(x+2)
y+1 = -4x-8
y = -4x-9
Answer:
The p-value of the test statistic from the standard normal table is 0.0017 which is less than the level of significance therefore, the null hypothesis would be rejected and it can be concluded that there is sufficient evidence to support the claim that less than 20% of the pumps are inaccurate.
Step-by-step explanation:
Here, 1304 gas pumps were not pumping accurately and 5689 pumps were accurate.
x = 1304, n = 1304 + 5689 = 6993
The level of significance = 0.01
The sample proportion of pump which is not pumping accurately can be calculated as,
The claim is that the industry representative less than 20% of the pumps are inaccurate.
The hypothesis can be constructed as:
H0: p = 0.20
H1: p < 0.20
The one-sample proportion Z test will be used.
The test statistic value can be obtained as:
Answer: At least two sides are congruent
Step-by-step explanation:
Here is the complete question:
If a triangle JKL is classified as isosceles, which statement is true?
a. At least two sides are congruent.
b. Two sides are perpendicular.
c. All three sides are congruent.
d. Two sides are parallel.
An isosceles triangle is a triangle that has at least two sides that are equal. An isosceles triangle has two equal sides and also two equal angles.
An angle is said to be congruent if it has the same angle either in degrees or radians. Such angles don't necessarily have to point in same direction. Therefore, it is true that at least two sides are congruent.
Answer:
Step-by-step explanation:
ST = SM + TM
SM = X
TM = 5 - 3 = 2
SO
SM = 2
