Answer:
1. We have been given that a∥b , and c is neither parallel to a nor b.
Let us see which of our given options are correct.
A. m∠7 can not be equal to m∠11 as line c is not parallel to line a.
B. m∠5 can not be equal to m∠12 as line c is not parallel to line b.
C. By alternate interior angles m∠4=m∠5 as ∠4 is inside line a and ∠5 is inside line b. Both angles are on the opposite sides of transversal.
D. Since we know that corresponding angles are congruent. We can see that ∠5 corresponds to ∠1, therefore, m∠1=m∠5.
Therefore, Option C and D are correct choices.
2. We have been given that AB∥CD and m∠4=85°. We are asked to find measure of ∠5.
Since we know that same side interior angles are supplementary. In our figure we can see that ∠4 and ∠5 are same side interior angles.
Therefore, measure of ∠5 will be 95 degrees.
Step-by-step explanation:
1. is m∠4=m∠5 by the alternate interior angle theorem.
2. Angles 4 & 3 are supplementary angles or linear pair and so they have to equal 180 and 180 - 85= 95 3 & 5 are corresponding angles so 95 should be your answer.
plz give braniy
Answer:
It'd be $4,700
Step-by-step explanation:$500 + $2,400 + $1,800 = $4,700. Minus that amount from her savings account total and that's how much money she has left.
Factor both the top and bottom.
(2(x-6)(x-2))/((x+6)(x-4))
To find zeros, the numerator must be 0. The denominator cannot be 0 because anything divided by 0 is infinity.
(x-6)=0
x=6
(x-2)=0
x=2
Final answer: x=2, x=6
Answer:
D
Step-by-step explanation:
We can solve this particular problem entirely by elimination. First, notice, that our inequality simply says the left side is <em>less than</em> the right, not <em>less than or equal to</em>. If it were less than or equal to the value on the right, it would include all of the points on the boundary line, and we'd indicate this with a solid line. In our situation, the left side is never <em>equal</em> to the right, so we'd use a dotted line to draw our boundary line. Only B and D fit the bill.
So between B and D, which one represents 
? Well, setting the two sides equal to each other, we'd get the equation for a line. If (x, y) is a point on that line, then, what does mean when we say the side with y on it is less than the side with the x on it? It means we'd have to <em>decrease </em>the y value of a point on the line, which would give us a point <em>below </em>the line. So our graph has to show <em>every point below the line 4y + 8 = -3x</em>, and the only answer that represents this situation is D
