Answer:
m<1=?
m<2=4x-20..........(1)
m<4=3x-11.............(2)
Step-by-step explanation:
we have
- m<2=m<4(corresponding angle of parrelelogram are equal)
- 4x-20=3x-11
- 4x-3x=20-11
- x=9
again.we have
<1+<2=180(co-interior angle)
<1=180-<2=180-(4×9-20)=180-16=164
<h2>
Answer: slope = - 95</h2><h2>
</h2>
Step-by-step explanation:
The question gives us two points, (87, 91) and (88, -4), from which we can find the slope and later the equation of the line.
<u>
</u>
<u>Finding the Slope</u>
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (91 - (- 4)) ÷ (87 - 88)
= - 95
<em><u /></em>
<em><u /></em>
<em><u>Checking my answer:</u></em>
<em>Finding the Equation</em>
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - (-4) = - 95 (x - 88)
y + 4 = - 95 (x - 88)
<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>
Answer:
The distance from the base of the statue to the ship is 771.60 ft
Step-by-step explanation:
Refer the attached figure
Height of statue AB= 250 feet
The tourist sees a ship coming into the harbor and measures the angle of depression as 18°.
So, ∠ACB = 18°
We are supposed to find the distance from the base of the statue to the ship i.e. BC
In ΔABC





BC=771.60 ft
Hence the distance from the base of the statue to the ship is 771.60 ft
Answer: The percent of red lights last between 2.5 and 3.5 minutes = 95.44% approx.
Step-by-step explanation:
Given: Mean time = 3 minutes
standard deviation = 0.25 minutes
The probability of red lights last between 2.5 and 3.5 minutes :-

The percent of red lights last between 2.5 and 3.5 minutes = 95.44% approx.
This is how i can explain.....To find slop you need to count the number of units up and then right if your line is going down.