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!
Answer:
(a)

(b)
i.


ii.


iii.


Step-by-step explanation:
Given



Solving (a): List all possible elements using set-roster notation.
The possible elements are:

And the number of elements are:

Solving (bi) Exactly 1 girl
From the list of possible elements, we have:

And the number of the list is;

The probability is calculated as;



Solving (bi) At least 2 are girls
From the list of possible elements, we have:

And the number of the list is;

The probability is calculated as;



Solving (biii) No girl
From the list of possible elements, we have:

And the number of the list is;

The probability is calculated as;



Answer:
the answer is 8
Step-by-step explanation:
8x6=48
Triangle
Parallelogram
Square
Arrow
Answer:
$100,683.66
Step-by-step explanation:
88319 = last years sales
.14 = percent increase
88319 * .14 = 12364.66
12364.66 + 88319 = 100,683.66
next years sales = $100,683.66