Answer:
x = 13
Step-by-step explanation:
Here, we want to get the missing side
from what we have, the triangle is a right angled triangle
In this kind of triangle, the Pythagoras’ theorem works
The square of the side facing the right angle ( marked x here) is equal to the sum of the squares of the two other sides
We have this as;
x^2 = 5^2 + 12^2
x^2 = 25 + 144
x^2 = 169
x = √169
x = 13
Answer:
x = 27.8, y = 35
Step-by-step explanation:
Angle D is equal to Angle A
Angle E is equal to Angle B
Angle F is equal to Angle C
So you can set those equal to each other:
2y - 5 = 65
2y = 70
y = 35
-------------------------
2x + y = 90.6
2x + 35 = 90.6
2x = 55.6
x = 27.8
I believe the center would be (-4,2) while the radius should be 3.
The probability of event A and B to both occur is denoted as P(A ∩ B) = P(A) P(B|A). It is the probability that Event A occurs times the probability that Event B occurs, given that Event A has occurred.
So, to find the probability that you will be assigned a poem by Shakespeare and by Tennyson, let Event A = the event that a Shakespeare poem will be assigned to you; and let Event B = the event that the second poem that will be assigned to you will be by Tennyson.
At first, there are a total of 13 poems that would be randomly assigned in your class. There are 4 poems by Shakespeare, thus P(A) is 4/13.
After the first selection, there would be 13 poems left. Therefore, P(B|A) = 2/12
Based on the rule of multiplication,
P(A ∩ B) = P(A) P(B|A)P(A ∩ B) = 4/13 * 2/12
P(A ∩ B) = 8/156
P(A ∩ B) = 2/39
The probability that you will be assigned a poem by Shakespeare, then a poem by Tennyson is 2/39 or 5.13%.
Answer:
C. 50
Step-by-step explanation:
The triangles are proportional and that is why you can find the scale factor. Set up a proportion (equivalent fractions). Set the proportion up with the corresponding sides together on thee top or the bottom of the proportion.
<u>65 </u> = <u> 91</u>
x 70
91x = 65 * 70
<u>91x</u> = <u>4550</u>
91 91
x = 50
