First, find out x
x+15+2x+15=180
3x+30=180
3x=150
x=50
so the two angels are x+15=65(let's name is ∠5 for convenience), and ∠6= 2x+15=115
notice the two inner lines are marked as congruent, so
∠4=∠5=65
∠1=180-∠4-∠5=180-65-65=50
Name the right bottom angle ∠7, ∠3=∠7 and ∠3+∠7=the exterior angle 100 degree, therefore, ∠3=50
∠2+∠3=∠4, therefore, ∠2=∠4-∠3=65-50=15
∠1=50, ∠2=15, ∠3=50, ∠4=65
Answer:
31
Step-by-step explanation:
Evaluate following the order set out in the acronym PEMDAS
That is parenthesis, exponents, multiplication, division, addition, subtraction
Given
(5 + 1)² - (11 + 3² ) ÷ 4
= 6² - (11 + 9) ÷ 4
= 36 - 20 ÷ 4 ← division before subtraction
= 36 - 5
= 31
Answer:
She uses 243 beads for the 5th string.
Step-by-step explanation:
In this problem, we can see a pattern. If she triples the number of beads in each of the next strings, that means that we just take the last number and multiply by 3. If the first string uses 3, then:
The second uses 9, 3 * 3 = 9
The third uses 27, 9 * 3 = 27
The fourth uses 81, 27 * 3 = 81
And the 5th uses 243, 81 * 3 = 243.
No, because you would have to simplify like terms. Which the simplest form would be
5x-4
It will be D by multiplying the numerator and the denominator by the unit rate of 6
