Answer:
x = 4, ∠I = 33°
Step-by-step explanation:
<u>Question 1</u>
Converse to Base Angles Theorem: 28 = 9x - 8,
28 = 9x - 8 (add 8 to both sides)
9x = 36 (divide both sides by 9)
x = 4
<u>Question 2</u>
Since the triangles are congruent, ∠A ≅ ∠G:
∠A = 55 = ∠G
If we consider triangle ALX we have ∠L = 180-55-92 = 33°
And since ∠L ≅ ∠I, ∠I = 33° respectively
Hello! Your answer is below... Remember : h = height and v = volume
Answer:
H = 15.35 cm
V = 690.75 m^
Step-by-step explanation:
(H= height, V = volume, ^= square, √ = square root )
1. divide 9/2
=4.5 cm
2. use the pythagorean theorem
H=√16^-4.5^
H=15.35
if your looking for volume
1. use the formula for volume of the pyramid which is:
1/3 x base area x height
or
base area x height /3
2. then you substitute
1/3 x (9)(15) x 15.35
or
(9)(15) x 15.35 /3
V= 690.75 m^
Hope it helped u if yes mark me BRAINLIEST!
Tysm!
:)
Answer:
Step-by-step explanation:
Eight
590 = 1800 e^(-0.4t) Divide by 1800
0.32778 = e^(-0.4t) Put the value for e in the denominator.
0.32778 = 1 / e^(0.4t) Notice the sign's gone. Multiply both sides by e^(0.4t)
0.32778 *e^(0.4t) = 1 Divide by 0.32778
e^(0.4t) = 3.0508 Take the natural log of both sides.
0.4t = 1.11542 Divide both sides by 0.4
t = 2.78855
You should put this in the original equation to see if it checks. It does.
=============================
Nine
3^(3 - 3x) + 6 = 42 Subtract 6 from both sides
3^(3 - 3x) = 36 Take the log of both sides.
(3 - 3x) ln(3) = ln 36
(3 - 3x) *1.098612 = 3.58352 Divide by 1.098612
3 - 3x = 3.26186 Subtract 3 from both sides
- 3x = 0.26186 Divide by - 3
x = - 0.087287
Answer:
m=2
Step-by-step explanation:
42=8m+13m
or,42=21m
or,42/21=m
or,m=2
This is the required answer for m.
To check,
42=8×2+13×2
42=16+26
42=42
Correct
Answer:
0.26 minutes
Step-by-step explanation:
So if you want to solve this, you need to make all the units the same first. What you first need to work on is the rate, since what it is asking is minutes given distance in feet.
We know that there are:
5280 ft in a mile
60 minutes in an hour
We then convert the rate knowing this:
In short, the car is traveling 3,828 ft every minute.
To determine how many minutes it will take for the car to travel just remember that:
Now we plug in what we know and solve what we don't know:
