The answer should be 62 °
180°-118°=62°
Subtract 118° from 180° because a parallel line is 180°. So you just have to find the other side of the line.
Hope this helps.
Answer:
Divisible by 3 is the answer
Step-by-step explanation:
First get everything to have the same base of 5
25^11 - 5^19
(5^2)^11 - 5^19
5^(2*11) - 5^19
5^22 - 5^19
Now factor out the GCF 5^19 to get
5^22 - 5^19
5^(19+3) - 5^(19+0)
5^19*5^3 - 5^19*5^0
5^19(5^3 - 5^0)
5^19(125 - 1)
5^19*(124)
At this point, we factor the 124 into 31*4 to end up with this full factorization: 5^19*31*4
Therefore, 25^11 - 5^19 is equivalent to 5^19*31*4
Since 31 is a factor of the original expression, this means the original expression is divisible by 31.
Answer:
4.2 cubic inches
Step-by-step explanation:
Find the diagram attached
Volume of the rectangular pyramid = BH/3
B is the base area
H is the height of the pyramid
Given
Base area = 3.2in * 1.4in
Base area = 4.48sq. in
Height = 2.8in
Volume of the rectangular pyramid = 4.48*2.8/3
Volume of the rectangular pyramid = 12.544/3
Volume of the rectangular pyramid = 4.2 cubic inches
A) The strata to be used in this survey by the employer is; <em><u>Type of Staff</u></em>
B) <em>Stratified Random Sampling</em> will be preferred because the opinions of <em><u>the staffs on the tipping policy</u></em> may be the same within each type but differ across the different <u><em>types of staffs.</em></u>
- A stratified random sampling is a type of sampling that divides a population into groups known as strata.
Now, from the question, we see that after adding a 20% to the cost of food and beverages, that the additional revenue will be distributed equally among the kitchen and server staffs.
This means the strata here will be the type of staff because the opinions of the staffs on the tipping policy may be the within each type but differ across both types of staffs.
Read more at; brainly.com/question/1954758
Answer:
68°
Step-by-step explanation:
As BA⊥BD, so ∠ABD = 90°
also, ∠ABD = ∠CBD + ∠ABC
⇒ 90° = 4x + 52° + 8x - 10°
⇒ 12x = 48°
⇒ x = 4°
now,
∠CBD = 4x + 52°
= 4(4°) + 52°
= 68°
