Answer:
should be 80, angle 50 is congruent on both sides to 50+50 equals 100. The triangle sum theorem says a triangle adds up to 180 degrees so we are left with 80, X=80 degrees
Answer:
W=4 l=16
Step-by-step explanation:
Let w = width
Let l = length
Since the length is 4 times the width, l=4w
Perimeter of rectangle = 2l + 2w
= 2(4w)+2w
=10w
The perimeter of the rectangle =40, so
40=10w and w=4
Plug w into the length equation : l=4w=4(4)=16
Answer:
52.5
Step-by-step explanation:
Since ED ≈ AD, ∆AED is a isosceles triangle where <EAD and <AED has same angle measurement
Now, m<B = 105°, since ABCD is a parallelogram, <B = <D
so, m<ADC = 105° so, m<ADE = 180°-105° = 75°
Now, m<EAD+m<AED+m<ADE = 180°
or, m<AED+m<AED+m<ADE = 180°
or, x+x+75°=180°
or, 2x=180+75°
or, 2x=105°
or, x=52.5°
Answer:
1)
2) 12 inches tall.
Step-by-step explanation:
1) The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.
In this case:
(The height of the candle in inches)
(The time in hours)
Then, we can rewrite it:
Based on the information provided in the exercise, the line passes through these points:
and 
Then, we can find the slope of the line with the formula
:

Now we need to substitute the slope and one of the points into
and then solve for "b":

Substituting values, we get that the a linear equation that models the relationship between the heigth of the candle and the time, is:
2) We must substitute
into the linear equation
in order to find the height of the candle after burning 8 hours: