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Colt1911 [192]
3 years ago
7

Suppose that AKL M is isosceles with base MK.

Mathematics
1 answer:
Elodia [21]3 years ago
6 0

Answer:

m<K = 51°

m<L = 78°

m<M = 51°

Step-by-step explanation:

Base angles of an isosceles ∆ are equal to each other, therefore,

m<M = m<K

Substitute

3x + 36 = 4x + 31

Collect like terms and solve for x

3x - 4x = -36 + 31

-x = -5

Divide both sides by -1

x = 5

Let's find each degree measure using the value of x

m<K = 4x + 31

Plug in the value of x

m<K = 4(5) + 31

m<K = 20 + 31

m<K = 51°

m<M = 3x + 36

= 3(5) + 36

= 15 + 36

m<M = 51°

m<L = 180° - (m<M + m<K) (sum of triangle theorem)

Substitute

m<L = 180 - (51 + 51)

m<L = 78°

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The answer to this would be... B: F(x)=2x+1


Hope I helped!


5 0
3 years ago
The gasoline gauge read 1/4 full. When 12 gallons were added to the tank the gauge read 3/4 full. How many more gallons to fill
DedPeter [7]
Initially, 1/4 of the tank was filled.

After adding 12 gallons, it was 3/4 full.

Increase in fuel filled portion =
\frac{3}{4}  -  \frac{1}{4}  =  \frac{3 - 1}{4}  =  \frac{2}{4}  \\

So 2/4 of the tank = 12 gallons

1/4 of tank = 12 ÷ 2 = 6 gallons

4/4 of tank = 6×4 = 24 gallons
____________________

Portion remaining to be filled =

1 -  \frac{3}{4}  =  \frac{4 - 3}{4}  =  \frac{1}{4}  \\

Fuel needed = 1/4 × 24 = 6 gallons

So you need 6 more gallons to fill the tank
8 0
3 years ago
Which equation represents an exponential function that passes through the point (2, 80)?
Fudgin [204]

The function f(x) = 5(x)⁴, and f(x) = 5(4)ˣ represents the function that passes through the point (2, 80) option second and fourth are correct.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have; an exponential function that passes through the point (2, 80).

f(x) = 4(x)⁵

Plug (2, 80) in the abovew function:

f(2) = 4(2)⁵ = 128 (false)

f(x) = 5(x)⁴

Plug (2, 80) in the abovew function:

f(2) = 5(2)⁴ = 80 (true)

f(x) = 4(5)ˣ

f(2) = 4(5)² = 100 (false)

f(x) = 5(4)ˣ

f(2) = 5(4)² = 80 (true)

Thus, the function f(x) = 5(x)⁴, and f(x) = 5(4)ˣ represents the function that passes through the point (2, 80) option second and fourth are correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

3 0
3 years ago
18 a^2 b divided by 3 a b^2
nadezda [96]

Answer:

6a/b^2

Step-by-step explanation:

18a/3ab^2

18a/3b^2

=6a/b^2

4 0
4 years ago
What is this answer helpppppppppo
slava [35]

Answer: the answer is 73.5 but it is not here so I think 89 is the

Step-by-step explanation:

5 0
3 years ago
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