Answer:
25
Step-by-step explanation:
We can use the Pythagorean theorem to determine the length of the hypotenuse
a^2 + b^2 = c^2
15^2 + 20 ^2 = c^2
225 + 400 = c^2
625 = c^2
Take the square root of each side
sqrt(625) = sqrt(c^2)
25 = c
Answer:
AB // CD and AD // BC, then ABCD is a parallelogram
Step-by-step explanation:
Step 2: Show AD // BC
A = (-3 , 3) and D = (0 , 0)
Find the slope of AD

B = (2 , 5) and C = (5 , 2)

The slope of AD = the slope of BC
So AD // BC because they have the same slope
Step 3:
Each two opposite sides are parallel in quadrilateral ABCD
So the quadrilateral is a parallelogram
Answer: No, because ABC is not a right angle.
Step-by-step explanation: In triangle ABC, the three angles add up to 180
So angle B = 180 - 48 - 47 = 85.
Answer:
30% students
Step-by-step explanation:
Let x be the number of total students of a school.
63% are girls then total number of girls = (0.63)x
37% are boys then total number of boys = ( 0.37)x
Now 23% of girls wear contacts then total number of girls
= (0.63x) × 0.23
= (0.1449x)
And 42% of boys wear contacts then total number of boys wearing contacts
= (0.37x) ( 0.42)
= (0.1554)x
Total students wears contacts = ( 0.1449x) + (0.1554x)
= (0.3003x)
Percentage of students wear contacts =
× 100
=
× 100
= 30%
All 30% students wear contacts.
Okay, so how to do it, so the parentheses around the two doesn’t matter, you can times 4.16 and .2 together to get .832, it is fairly easily.
How I got it: 4.16 is on the top of .2, the decimals line up, you add a zero behind the 2 to make it a 20, now you just Times 4.16 by .20 to get .832