Step-by-step explanation:
the 2 angles marked with orange and green are equal becos the question said that the indicated angles are congruent meaning same deg. so 180 - that given angle = the 2 marked angles (based on the rule known as angles on a str line are supplementary)
since the 2 marked angles are same, you can say that d and k are parallel due to the rule of alternate angles
Topic: angle properties
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Well the LCM (lowest common multiples) for 8 and 32 would be 4. So plug 4 into "b" -8×4-32. -8×4=32. -32-32. Since you can't subtract 32 and 32 you add! Which gives you -64.
Hope this helps (:
First we are going to find divided by 100 and multiply 20 is equal to four.
We are gonna use x to represent this number.
x/100 * 20 = 4
Solve for x
Therefore x = 20cm
Now that we found x the side of the larger square we are gonna find the area which is side^2.
20 * 20
Therefore the area of the larger square is 400cm^2
Answer:
3° and 87°
Step-by-step explanation:
<em>here's</em><em> your</em><em> </em><em>solution</em>
<em> </em><em>=</em><em>></em><em> </em> we know that measure of complementary angle is 90°
=>. one angle is. = x
=> other angle is .= (19x + 30)
=> so, x + 19x + 30° = 90°
=> 20x + 30° = 90°
=> 20x = 60°
=> x = 60/20
=> x = 3°
hence one angle is 3° and other is 87°
hope it helps
Answer:
0.7429
Step-by-step explanation:
Given that Of the 721 students at the college, 299 of them apply for loans when entering graduate school.
So p = proportion of students applying for loans = 
Each student is independent of the other and there are two outcomes
Hence out of 45 students the no of students who apply for loans say X is binomial with n =45 and p = 0.415
the probability that more than 16 of them apply for loans
=
=0.7429
