Answer:
x = 78º
y = 35º
Step-by-step explanation:
These are isosceles triangles
two angles are congruent
-----------------------------
x + 51 + 51 = 180
x = 180 - 102
x = 78º
y + y + 110 = 180
2y = 70
y = 35º
Answer:
Olivia is hosting a dinner party in her garden. She has hired caterers to serve dinner. The caterers charge a fee to set-up the dinner and $3 per person attending. The cost for 10 dinner guests is $70. Write an equation showing the cost of the dinner party as a function of the number of guests
Step-by-step explanation:
this is a binomial problem: p = 0.7 and q = 0.3
a) (0.7)^6
b) (6C4)(0.7)^4(0.3)^2
c) Pr ( at least 4) = Pr(4) + Pr(5) + Pr(6) = (6C5)(0.7)^5(0.3) + (0.7)^6
d) Pr (no more than 4) = 1 - Pr(at least 4) = 1 - (answer from c)
Answer: 
Step-by-step explanation:
11 is the opposite and 16 is the hypotenuse
So, the Sine of ∠A is 11/16
Hope this helps!! :)
Answer:
1 5/8 inches
Step-by-step explanation:
It can work out well to subtract integer portions and fractional portions, then combine the results.
(9 1/4) -(7 5/8) = 9 + 1/4 - 7 - 5/8
= (9 -7) +(1/4 -5/8)
= 2 + (2/8 -5/8)
= 2 -3/8
= 1 5/8
The piece of Myles' shoestring that broke off is 1 5/8 inches long.