Answer:
22) 119
24) 15
Step-by-step explanation:
22) 61 + b = 180 <-- supplementary because on the same line
b = 119 <-- subtracted 61 from both sides
24) 87 + (6x + 3) = 180 <-- supplementary because on the same line
87 + 6x + 3 = 180 <-- take out parantheses
90 + 6x = 180 <-- add like terms
6x = 90 <-- subtracted 90 from both sides
x = 15 <-- solve for x by dividing 6 from both sides
You have to pick at least one even factor from the set to make an even product.
There are 3 even numbers to choose from, and we can pick up to 3 additional odd numbers.
For example, if we pick out 1 even number and 2 odd numbers, this can be done in
ways. If we pick out 3 even numbers and 0 odd numbers, this can be done in
way.
The total count is then the sum of all possible selections with at least 1 even number and between 0 and 3 odd numbers.
where we use the binomial identity
The length of the diagonal should be 18 if I am not wrong!
Step-by-step explanation:
a2+ b2=c2
so 10x10+15x15=the diagonal
100+225=325
325 squared = 18
∠R is congruent to ∠G
The reason: the right angle's orientation gives a reference for which angle, if the triangle is congruent, is congruent to which angle.
OR
You can follow the letters. If the triangle is labeled with the letters or numbers, it is 90% of the time going to be in order of the alphabet or the numerical sequence.
ΔGHI ≅ ΔRST
Notice how those letters are in order? The ∠G is congruent to ∠R.
Hope I could help you out! God bless!
