Answer:
∠YXZ = 62°
Step-by-step explanation:
A straight line measures 180 degrees
The angle "8x - 14" PLUS its adjacent angle Z sum up to 180, so we can write:
Z + 8x - 14 = 180
Z = 180 +14 - 8x
Z = 194 - 8x
Sum of 3 angles of a triangle is 180 degrees, thus we can write:
X + Y + Z = 180
3x + 5 + 4x + 194 - 8x = 180
Now, we solve for x:

The measure of ∠YXZ is "3x + 5", we substitute the value of x and find this angle to be:
3x + 5
3(19) + 5
62
Thus,
∠YXZ = 62°
Answer:
d.
Step-by-step explanation:
if x varies directly as y,
x = ky
8 = 12k
12k = 8
k = 8/ 12
k = 2/3,
x = 2/3 y
now substitute the value of any of the numbers of each pair, and check if it works:
for e.g, find x when y = 15
x = 2/3y
x = 2/3 × 15
x = 10
since you obtain x = 10 when y = 15, the pair is a possible corresponding value of x and y. now do the same for the rest .
ii) x = 2/3y
x = 2/3 × 3, when y = 3
x = 2
hence, this is also a possible pair of x and y values.
iii) x = 2/3y
x = 2/3 × 9 when y = 9
x = 6
again, a possible pair of x and y values.
iv) x = 2/3y
x = 2/3 × 20 when y = 20
x = 40/3
here, when y = 20, x is not 15. it is 40/3.
thus, it can be determined that this is not a possible pair of x and y values.
please try to understand and have a great day!
Answer:
d.
Step-by-step explanation:
Since it's an isosceles triangle, WX=WZ= 2n-5
Perimeter = n + (2n-5) + (2n-5)
= 5n - 10
The Perimeter is given to be 20
5n - 10 = 20
5n = 30
n = 6
The amount of energy that the given amount of food contains is the product of the given content per grams and the amount of food in grams.
For this item, we assume that g(x) is the total energy that the howler monkey needs to obtain and x is the amount of food in grams. From the presented concept in the first paragraph,
amount of energy = (3.35 kcal/gram) x (amount of food)
<em>g(x) = 3.35x</em>
Whats line c slope intercept form?