Answer:
TP: 13
Step-by-step explanation:
A=((b1+b2)/2)*h
100=((8+32)/2)*h
100=(40/2)*h
100=20h
h=5
A=8*5+((32-8)/2)*0.5*5*2
100=40+(24/2)*5
60=12*5
thus, point E is is 12 away from T
Triangle TPE:
the catets are TE:12 and PE:5
Lets use the Pythagorean theorem:
a^2+b^2=c^2
12^2+5^2=c^2
144+25=c^2
169=c^2
c=(+/-)13
since distance can only be positive, the answer is:
segment TP has the length of 13 units
Answer:
Here's what I get
Step-by-step explanation:
I plotted the triangles in the diagram below.
Part A
The scale factor for dilation is ½, because every coordinate has been halved.
P (8, 0) ⟶ P' (4, 0)
Q (6, 2) ⟶ Q' (3, 1)
R (-2, -4) ⟶ R' (-1, -2)
Part B
When you reflect a point (x, y) about the y-axis, the y-coordinate remains the same, but the x-coordinate gets the opposite sign. Thus,
P' (4,0) ⟶ P" (-4,0)
Q' (3,-1) ⟶ Q" (-3,-1)
R' (-1,-2) ⟶ R" (1,-2)
∆P"Q"R" has coordinates P" (-4,0), Q" (-3,-1), R"(1,-2).
Part C
∆PQR and ∆ P"Q"R" are not congruent, because corresponding sides are not equal.
4/5 = 80%
80% of 45 is
.8 x 45 = 36
He is expected to make 36 of his shots
Answer:
Rate of Change = -77.9 feet/year
My interpretation: "Is Bad."
Step-by-step explanation:
The rate of change is the number of feet that Lake Powell dropped, divided by the number of years the drop took place. We want a value with a unit of feet/year.
<u>Year</u> <u>Feet</u>
1999 3893
2005 3425.6
<u>Change</u>
Year = (2005 - 1999) or 6 years
Feet = (3425.6 - 3893) or -467.4 feet
Rate of Change = (-467.4 feet)/(6 years)
Rate of Change = -77.9 feet/year
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FYI: Lake Powell is 22.39 feet lower today (June 23, 2022) than it was 1 year ago.