Answer:
Angles 6, 4, and 2 are congruent to angle 8.
Step-by-step explanation:
By the Opposite Angles Theorem, angle 6 is congruent to angle 8.
By the Corresponding Angles Theorem, angle 4 is congruent to angle 8.
By the Corresponding Angles Theorem, angle 2 is congruent to angle 6, and angle 6 is congruent to angle 8, so angle 2 is congruent to angle 8 by the Transitive Property.
Answer:
Step-by-step explanation:
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<u><em>Answer:</em></u>45 ft</span>²<span> will be blue
<u><em>Explanation:</em></u><u>1- getting the area of the wall:</u>
area of the rectangle can be calculated as follows:
area = length * width
we are given that:
length = </span>
ft<span>
width = </span>
<span> ft
Now, substituting in the above rule, we can get the area as follows:
area = </span>
*
= 135 ft²<span>
<u>2- getting the area that would be pained blue:</u>
We are given that </span>
<span> of the area of the room would be painted blue, this means that:
area of blue = </span>
<span> * area of room
area of blue = </span>
<span> * 135
area of room = 45 ft</span>²<span>
Hope this helps :)</span>
To start, first convert 7x-2y=3 from standard form to slope intercept form. To do this, first subtract over 7x to get -2y=-7x+3. Then, divide both sides by -2 to get
y=7/2x-3/2
Now that you have this in slope intercept form, take the m value of the equation, 7/2 and find the negative reciprocal of it. This will be the value of the slope of a line perpendicular to 7x-2y=3. Your final answer will be -2/7.
This is the formula you use:
Distance = √((X₂ - X₁)² + (Y₂ - Y₁)²)
Then plug in your two coordinates there.
√((- 3 - 2)² + (- 5 - (- 2))²)
Simplify
√((- 5)² + ( - 3)²)
√(25 + 9)
√34
√34 units is the distance.