Answer: 
Step-by-step explanation:
Given
Length of the plank is 
Foot of the flank is 
away from the wall
Lizard climbs 2 m up the wall
from the figure, the two triangles are similar
So, the distance from the wall is
Answer:
C. 60 miles; $30
Step-by-step explanation:
You can use desmos graphing calculator!
Sample size= n= 84
sample mean= x = 107 s
population standard deviation =σ= 11.7
As, population standard deviation is given so we use the estimate:
x(+/-) z(α/2)(σ/√n)
At 99% Confidence interval means significance level is α=1-0.99= 0.01
So,
α/2=0.005
Now, z at α/2=0.005
z= 2.576
Now, by putting values
107(+/-)((2.576)(11.7/√84))
( 107-((2.576)(11.7/√84)), 107+((2.576)(11.7/√84)) )
(103.7, 110.288)
The equations used to find the measure of each angle in degrees is x + y = 90 and x = 6y - 1
The two complementary angles are 77 degrees and 13 degrees
<em><u>Solution:</u></em>
Given that two angles are complementary angles
Complementary angles are two angles whose sum is 90 degrees
Let one of the angle be "x" and the other angle be "y"
Therefore,
x + y = 90 ------ eqn 1
Also given that,
One angle is one less than six times the measure of another
one angle = six times the other angle - 1
x = 6y - 1 ------ eqn 2
Substitute eqn 2 in eqn 1
6y - 1 + y = 90
Thus the above equation is used to find the measure of each angle in degrees
Solve the above equation
6y + y - 1 = 90
7y - 1 = 90
7y = 91
y = 13
Substitute y = 13 in eqn 2
x = 6(13) - 1
x = 78 - 1
x = 77
Thus the two complementary angles are 77 degrees and 13 degrees
Answer:
there are no options listed, but some statements that are true about this question are:
- total perimeter = (8.5 x 2) + (5.5 x 2) = 28 feet = 9¹/₃ yards
- since Shelley purchased 10 yards of ribbon, it should be enough
- after finishing the blanket, Shelley will have 2 feet of ribbon left
