Answer:
Step-by-step explanation:
In the given image, you can observe we have two right triangles.
Also, we know by given that those triangles are similar, which means their sides are proportional and their angles are congruent.
If the triangles are similar, we can define the following proportion between sides.
Now we use the Pythagorean's Theorem to find each hypothenuse.
Therefore, the missing sides are
<h3>
Solution (Line 2): <u>(Refer to graph 1)</u></h3>
<u>Note that:</u>
- Given points: (0, -2) and (1, -4)
- Slope formula: Rise/Run
- Point slope form formula: y - y₁ = m(x - x₁)
To create the equation of the line, find the slope. Then, use point slope form to find the equation of the line.
<u>Use the slope formula to find the slope.</u>
- Rise/Run = Slope
- => Rise = -2; Run = 1
- => Rise/Run = -2/1 = -2
<u>Use the point slope form formula.</u>
- y - y₁ = m(x - x₁) = Equation of line.
- => y - (-4) = -2(x - 1) = Equation of line.
- => y + 4 = -2x + 2
- => y = -2x + 2 - 4
- => y = -2x - 2
<h3>
Solution (Line 3): <u>(Refer to graph 2)</u></h3>
<u>Note that:</u>
- Given points: (0, -2) and (-4, 3)
- Slope formula: Rise/Run
- Point slope form formula: y - y₁ = m(x - x₁)
To create the equation of the line, find the slope. Then, use point slope form to find the equation of the line.
<u>Use the slope formula to find the slope.</u>
- Rise/Run = Slope
- => Rise = -5; Run = 4
- => Rise/Run = -5/4
<u>Use the point slope form formula.</u>
- y - y₁ = m(x - x₁) = Equation of line.
- => y - 3 = -5/4{x - (-4)} = Equation of line.
- => y - 3 = -5/4{x + 4}
- => y - 3 = -5x/4 - 5
- => y = -5x/4 - 2
<h3>
Solution (Line 4): <u>(Refer to graph 3)</u></h3>
<u>Note that:</u>
- Given points: (0, -2) and (-3, -5)
- Slope formula: Rise/Run
- Point slope form formula: y - y₁ = m(x - x₁)
To create the equation of the line, find the slope. Then, use point slope form to find the equation of the line.
<u>Use the slope formula to find the slope.</u>
- Rise/Run = Slope
- => Rise = 3; Run = 3
- => Rise/Run = 3/3 = 1
<u>Use the point slope form formula.</u>
- y - y₁ = m(x - x₁) = Equation of line.
- => y - (-5) = 1{x - (-3)} = Equation of line.
- => y - (-5) = 1{x + 3}
- => y + 5 = x + 3
- => y = x - 2
Hoped this helped!
3.5 × 10 = 35.0
The mistake is that you only added a zero to the answer (3.5 -> 3.50), but you forgot to replace the point in your answer (because 3.50 is wrong and 35.0 is correct). Hence, you should have replaced to point, by moving it one spot to the right.
We can tell that the whole L shaped angle is 90 degrees because it has the little box in the corner. Now, the 90 degree angle is split into two parts with that line coming from the box. Those two parts of the whole 90 degree angle add up to 90 degrees.
90 = 4v + 2 + 9v - 3
Now, let's solve for v. Combine like terms.
90 = 13v - 1
Add 1 to both sides.
91 = 13v
Divide both sides by 13
7 = v
