Answer: FIRST OPTION
Step-by-step explanation:
To solve this problem you must apply the Intersecting Secant-Tangent Theorem. By definition, when a secant line and a tangent lline and a secant segment are drawn to a circle from an exterior point:

The total measure of the secant shown is:

If the radius is 7, then the diameter is:

Therefore:

You also know that:

Keeping the above on mind, you can substitute values and solve for x:

9514 1404 393
Answer:
(t, u, w) = (1, -2, -2)
Step-by-step explanation:
A graphing calculator makes short work of this, giving the solution as ...
(t, u, w) = (1, -2, -2)
__
There are many ways to solve this "by hand." Here's one of them.
Add the first and third equations. Their sum is ...
-3t +4w = -11 . . . . . [eq4]
Add this to twice the second equation. That sum is ...
(-3t +4w) +2(-4t -2w) = (-11) +2(0)
-11t = -11
t = 1
Substituting this into the second equation gives ...
-4(1) -2w = 0
w +2 = 0 . . . . divide by -2
w = -2 . . . . add -2
Substituting for t in the third equation lets us find u.
2(1) -2u = 6
-1 +u = -3 . . . . . divide by -2
u = -2 . . . . add 1
The solution is (t, u, w) = (1, -2, -2).
Answer:
a) He needs to consume 600 kcal from protein.
b) 22 kcal come from fat.
Step-by-step explanation:
a) Lee needs to consume 2400 kcal each day and 25% of this income should come from protein.
We are going to use percentages to solve this problem, to find out how many kcal from protein he should consume we need to multiply 2400 by .25.
2400 (.25) = 600
Lee needs to consume 600 kcal from protein.
b) A cup of chili contains 220 kcal If 15% of kcal come from fat how many kcal come from fat?
We are going to solve this in a similar way.
We should multiply the total amount of kcal by .15 which is the amount of fat calories.
220 (.15) = 33
33 kcal come from fat.







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Answer:
d) Clothing prices decline because manufacturers shift to production in countries with lower wages.
Step-by-step explanation:
Demand is the quantity of goods or services consumers are able and willing and able to buy at a given price and at a particular time.
Movement along the demand curve also known as change in quantity demanded is an increase or decrease in the quantity demanded of goods or services due to change in the price of the good or service itself.
It is important to note that the only factor causing movement along the demand curve is change in the price of the product.