Answer:
(3, -6) and (7, -6)
Step-by-step explanation:
Plugging it in the slope formula we get -6+6 = 0, meaning the division will be 0. This the slope is 0
Answer:
ounces of nuts are there per cake.
Step-by-step explanation:
Given Isaac used of an ounce of nuts to make of a pound cake.
We need to find ounces of nuts per cake.
We can see that pound of the cake made by ounce of nuts.
We will multiply both side by .
So, pound of cake will be made by ounces of nuts.
So, there are ounces of nuts there per cake.
solution:
One leg of the triangle is given 90ft. the other leg of the triangle is x, and the hypotenuse is given as x+30
According to Pythagoras,
C² = a² + b²
So,
(x +30) = x² + 90²
Use FOIL to expand the binomial:
x² + 60x + 900 = x² + 8100
60x = 7200
X = 7200/60
X = 120
Set up a proportion:
4.1/22 = 12.3/x
Cross multiply:
4.1 * x = 22 * 12.3
4.1x = 270.6
Divide 4.1 to both sides:
x = 66
Answers:
(a) BC = 40
(b) GF = 15
(c) CD = 45
(d) KM = 37.5
=========================================================
Explanations:
Part (a)
GF is a midsegment of triangle ABC, so GF is half that of the parallel base AC
AC = 30 so GF = (1/2)*AC = 0.5*30 = 15
--------------------------
Part (b)
For similar reasons as part (a), FB if half that of BC. This leads to FB = FC
FB = FC
FC = 20
since FB = 20
Now use the segment addition postulate
BC = BF + FC
BC = 20 + 20
BC = 40
Note: FB is the same as BF. The order of the letters does not matter.
--------------------------
Part (c)
GF = AD are the same length because of the single tickmark
GF = 15 so AD = 15
use the segment addition postulate
CD = CA + AD
CD = 30 + 15
CD = 45
--------------------------
Part (d)
EG = 15 since GF = 15 (and EG = GF by the single tickmark)
use the segment addition postulate
EF = EG + GF
EF = 15 + 15
EF = 30
The length of KM is the average of the base lengths EF and DC, since KM is a midsegment of the trapezoid
KM = (EF+DC)/2
KM = (30+45)/2
KM = (75)/2
KM = 37.5