Answer: C. Definition of an Altitude
Step-by-step explanation:
Given: In triangle MNO shown below, segment NP is an altitude from the right angle.
Let ∠MNP=x
Then ∠PNO=90°-x
Therefore in triangle MNO,
∠MPN=∠NPO =90° [by definition of Altitude]
[Definition of altitude : A line which passes through a vertex of a triangle, and joins the opposite side forming right angles. ]
Now using angle sum property in ΔMNP
∠MNP+∠MPN+∠PMN=180°
⇒x+90°+∠PMN=180°
⇒∠PMN=180°-90°-x
⇒∠PMN=90°-x
Now, in ΔMNO and ΔPNO
∠PMN=∠PNO=90°-x
and ∠MPN=∠NPO =90° [by definition of altitude]
Therefore by AA similarity postulate, we have
ΔMNO ≈ ΔPNO
Answer: $750
Step-by-step explanation:
So we know that he earns $25 per hour, and we want to know how much he earns if he worked for 30 hours which is a week.
25=1
?=30
then we can cross multiply which is
=750
so the answer is John earns $750 a week.
A should be the correct answer. As you can see, the cubes on the lowest level is 1 cube. The second level is equal to 2 cubes and the highest level is equal to 3 cubes
Answer:
8a^3.
Step-by-step explanation:
(a+b)^3=a^3+b^3+3a^2b+3ab^2
(a-b)^3=a^3-b^3-3a^2b+3ab^2
(a+b)^3+(a-b)^3=2a^3+6ab^2
According to the question
(a+b)^3+(a-b)^3+6a(a^2-b^2)
Put in the value
=2a^3+6ab^2 +6a^3–6ab^2
=8a^3
Answer:
920*1.12^t
Step-by-step explanation:
Every year, we see that it goes up 12%.
12% in decimal form is 0.12.
Let's say we have "x" amount of cars one year. The next year, the number of cars will increase by 12%. 0.12x is added on after one year.
So in total, at the beginning of a new year, the number of cars is 0.12x+x = 1.12x.
In this case, we have 920 cars. So if every year the number of cars is multiplied by 1.12, then in "t" years we will have 920*(1.12)^t. We multiply by 920 because that's the current number of cars, and we add the ^t because we multiply by 1.12 every year.
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:P
