Answer:
the angles are supplemetary
Step-by-step explanation:
105+ 75= 180
angles that add up to 180 are supp.
so the angles are supplemetary
if my answer helps please mark as brainliest.
Answer:
3 x 3/12 x 2/11 x 9/10
Step-by-step explanation:
Answer:
The Height of the cliff is 41.5 meters tall.
Option B. 41.5 meters.
Step-by-step explanation:
Given:
AB = 85 meter
Angle of elevation ∠ C= 26°
To Find:
Cliff height = AB = ?
Solution:
In right angle Triangle ABC by tangent Identity we have
![\tan C = \frac{\textrm{side opposite to angle C}}{\textrm{side adjacent to angle C}}](https://tex.z-dn.net/?f=%5Ctan%20C%20%3D%20%5Cfrac%7B%5Ctextrm%7Bside%20opposite%20to%20angle%20C%7D%7D%7B%5Ctextrm%7Bside%20adjacent%20to%20angle%20C%7D%7D)
Substituting the given values we get
![\tan 26 = \frac{AB}{BC}=\frac{AB}{85}](https://tex.z-dn.net/?f=%5Ctan%2026%20%3D%20%5Cfrac%7BAB%7D%7BBC%7D%3D%5Cfrac%7BAB%7D%7B85%7D)
![\therefore AB=85\times 0.4877=41.45=41.5\ meters](https://tex.z-dn.net/?f=%5Ctherefore%20AB%3D85%5Ctimes%200.4877%3D41.45%3D41.5%5C%20meters)
The Height of the cliff is 41.5 meters tall.
So the sum of 17 and a number x means to add them on one side of the equals sign. The other side would be your 20.
17 + x = 20
Answer:
The null hypothesis is
, in which x is the proportion tested.
The alternative hypothesis is ![H_1: p > x](https://tex.z-dn.net/?f=H_1%3A%20p%20%3E%20x)
Step-by-step explanation:
A recent article in a university newspaper claimed that the proportion of students who commute more than miles to school is no more than x.
This means that at the null hypothesis, we test if the proportion is of at most x, that is:
![H_0: p \leq x](https://tex.z-dn.net/?f=H_0%3A%20p%20%5Cleq%20x)
Suppose that we suspect otherwise and carry out a hypothesis test.
The opposite of at most x is more than x, so the alternative hypothesis is:
![H_1: p > x](https://tex.z-dn.net/?f=H_1%3A%20p%20%3E%20x)