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marin [14]
2 years ago
9

In kite WXYZ, m∠ZWY=41∘ and m∠XYW=11∘. What is m∠WZY? Enter your answer in the box.

Mathematics
1 answer:
Elina [12.6K]2 years ago
8 0

Applying the properties of a kite, m∠WZY = 128°.

<h3>Properties of a Kite</h3>
  • The diagonals of a kite bisect each other perpendicularly.
  • The main diagonal bisects the opposite angles.

Given:

m∠ZWY=41∘

m∠XYW=11∘

m∠WZY = (180 - 90 - 41) + (180 - 90 - 11)

m∠WZY = 49 + 79

m∠WZY = 128°

Therefore, applying the properties of a kite, m∠WZY = 128°.

Learn more about kite on:

brainly.com/question/25776644

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This is my last question please help asap!!
Ivanshal [37]

The average rate of change of function g(x)=5(2)^{x} from x = 3 to x = 4 is 4 times that from x = 1 to x = 2.

The correct option is (A).

What is the average rate of change of a function?

The average rate at which one quantity changes in relation to another's change is referred to as the average rate of change function.

Using function notation, we can define the Average Rate of Change of a function f from a to b as:

                                     rate(m) = \frac{f(b)-f(a)}{b-a}

The given function is  g(x) = 5(2)^{x},

Now calculating the average rate of change of function from x = 1 to x = 2.

                               m = \frac{g(b)-g(a)}{b-a}\\ m = \frac{g(2)-g(1)}{2-1}\\\\m=\frac{5(2)^{2}-5(2)^1}{2-1}\\ m=\frac{10}{1} \\m=10

Now, calculate the average rate of change of function from x = 3 to x = 4.

                                 m = \frac{g(b)-g(a)}{b-a}\\ m = \frac{g(4)-g(3)}{4-3}\\\\m=\frac{5(2)^{4}-5(2)^3}{4-3}\\ m=\frac{40}{1} \\m=40

The jump from m = 10 to m = 40 is "times 4".

So option (A) is correct.

Hence, The average rate of change of function g(x)=5(2)^{x} from x = 3 to x = 4 is 4 times that from x = 1 to x = 2.

To learn more about the average rate of change of function, visit:

brainly.com/question/24313700

#SPJ1  

7 0
1 year ago
12 + x to the power of 4 - 6 when x = 8
iren [92.7K]

value of  12+x^4-6 at x=8 is  5002 .

<u>Step-by-step explanation:</u>

here we need to evaluate 12 + x to the power of 4 - 6 when x = 8 or , 12+x^4-6 where x=8 . Let's find out:

⇒ 12+x^4-6

Putting x =8 :

⇒ 12+8^4-6

Splitting 8 to power 4 into 8 to power 2 ( 2 times )

⇒ 12+8^2(8^2)-6

⇒ 12+64(64)-6

⇒ 12+4096-6

⇒ 4096+6

⇒ 5002

Therefore , value of  12+x^4-6 at x=8 is  5002 .

8 0
3 years ago
Line segment C X is an altitude in triangle ABC. Triangle A B C is shown. Angle A C B is a right angle. An altitude is drawn fro
Alenkinab [10]

Answer:

i. ΔAXC ~ ΔCXB

ii. ΔBCX Is-congruent-to ΔACX

Step-by-step explanation:

From the given ΔABC, CX is the altitude of ΔABC; and also an angle bisector of <ACB.

So that:

m<AXC = m<BXC (right angle property)

m<ACX = m<BCX (congruent property)

m<ACX + m<AXC + m<CAX = 180^{o} (sum of angles in a triangle)

m<BCX + m<BXC + m<CBX = 180^{o} (sum of angles in a triangle)

Therefore, from the figure it can be deduced that;

i. ΔAXC ~ ΔCXB (Angle-Angle-Side, AAS, property)

ii. ΔBCX Is-congruent-to ΔACX (Angle-Angle-Side, AAS, property)

5 0
3 years ago
Read 2 more answers
The library is designing a book display with fiction books 28 biographies and 40 non fiction books. Each shelf will have only on
Rufina [12.5K]
If the question is how many shelves are needed, then the answer is 18 shelves.
3 0
3 years ago
Kelly, Matt, and Bo are sharing 2 pizzas equally. How much pizza does each person get?
kvasek [131]

Answer:

Hi! The answer is 1.5

Step-by-step explanation:

Kelly + Matt + Bo = 3

3, People / 2, Pizzas

3/2 = 1.5

1.5, Pizzas

☆*: .。.。.:*☆☆.*: .。..。.:*☆☆*: .。.。.:*☆☆.*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

<em>Hope this helps!!</em>

<em>- Brooklynn Deka</em>

4 0
3 years ago
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