195 miles
45x4=180
45 divided by 3=15
180+15=195
Answer:
m<SQP=124°
Step-by-step explanation:
Hi there!
We're given ΔQRS, the measure of <R (90°), and the measure of <S (34°)
we need to find m<SQP (given as x+72°)
exterior angle theorem is a theorem that states that an exterior angle (an angle on the OUTSIDE of a shape) is equal to the sum of the two remote interior angles (the angle OUTSIDE of a shape will be equal to the sum of 2 angles that are OPPOSITE to that angle).
that means that m<SQP=m<R+m<S (Exterior angle theorem)
substitute the known values into the equation
x+72°=90°+34° (substitution)
combine like terms on both sides
x+72°=124° (algebra)
subtract 72 from both sides
x=52° (algebra)
however, that's just the value of x. Because m<SQP is x+72°, add 52 and 72 together to get the value of m<SQP
m<SQP=x+72°=52°+72°=124° (substitution, algebra)
Hope this helps!
You need to first set up the equation:
It would look like 90 divided by 360 multiplied by the given
circumference which is 72 cm.
So 90 / 360 x 72
Simply the fraction above, it will give us:
¼ x 72
So the answer would be 18 cm that is the length of DE (minor
arc)
Answer:
7/8 > 5/6
Step-by-step explanation:
A) 7/8
We can compare this as follows.
Lets say both are equal.
Cross multiplying these we get 40=42
We get 40<42. In fraction we get
In case if you want to convert this to decimal, we get;
5/6 = 0.833 and 7/8 = 0.875
We get 5/6<7/8
B) 4/5
Similarly we get 4/5 = 0.8 and 5/6 = 0.833
Here 4/5<5/6
C) 3/4
we get 3/4 = 0.75 and 5/6 = 0.833
3/4<5/6
D) 2/3
we get 2/3 = 0.66 and 5/6 = 0.833
2/3<5/6
Step-by-step explanation:
Answer:
The smaller angle measures = 60º
The larger angle measures = 120º
Step-by-step explanation:
The sum of angles in linear pair is 180
The measure of one angle is twice the measure of the other angle.
x + 2x = 180
Combine like terms
3x = 180
Divide both sides by 3
x = 60º
2x = 120º
