Answer:
Angle 1 is 22°
Angle 2 is 78°
Step-by-step explanation:
Angles on a straight line always add up to 180°.
To find Angle 2, you would have to do 180° take away 102°.
180-102=78°
Angles in a triangle also add up to 180°.
So to find Angle 1, you would have to add the two Angles you already have and take it away from 180°.
80+78=158°
180-158=22°
Hope this helps :)
Answer:
2.5
Step-by-step explanation:
1st Quartile (Q1): 1
2nd Quartile (Q2): 2
3rd Quartile (Q3): 3.5
IQR = Q3 - Q1 = 3.5 - 1 = 2.5
Answer:
The rectangle is 16*18
Step-by-step explanation:
The area of a rectangle is length * width and the perimeter is 2 times length * width
A = l*w
P = 2(l+w)
Replacing A and P
288 = l*w
68 = 2(l+w) => 34 = l+w => 34 - w = l
replacing l in the area
288 = (34 - w) w
w^2 - 34w + 288 = 0
(w - 16)(w - 18)
w = 16
w = 18
replacing in 34 - w = l
you get that when w = 16, l = 18 and when w = 18, l = 16
How this is solved is by
Multiply 5/6 with 9/10
This multiplication involving fractions can also be rephrased as "What is 5/6 of 9/10?"
5
6
×
9
10
is
3
4
.
Steps for multiplying fractions
Simply multiply the numerators and denominators separately:
5
6
×
9
10
=
5 × 9
6 × 10
=
45
60
After reducing the fraction, the answer is
3
4
Or 3/4
Step-by-step explanation:
Multiplication of fractions is easiest operation. Simply multiple numerator to numerator and denominator to denominator. For example,
Addition and subtraction requires that we find a common demoninator.
For example,
The common denominator is 12. So I need to muliply each fraction to get the right denominator. 4*3 = 12.
Then we add the numerators
Then we should reduce.
Division is a little trickier because we have to flip-flop the second term and then multiply. For example: 
