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almond37 [142]
3 years ago
6

I need help on number twenty three

Mathematics
1 answer:
vekshin13 years ago
6 0

Answer:A

Step-by-step explanation:

O has more than A

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What’s the answer to this ?
gladu [14]

Answer:

x = 17

Step-by-step explanation:

Since the triangles are similar then corresponding angles are congruent.

∠ I = ∠P ← substitute values and solve for x

3x + 4 = 72 - x ( add x to both sides )

4x + 4 = 72 ( subtract 4 from both sides )

4x = 68 ( divide both sides by 4 )

x = 17

3 0
3 years ago
Using the Principle of Mathematical Induction, prove that . n ^2 − n is even for n ≥ 1​
Tamiku [17]

Base case: if <em>n</em> = 1, then

1² - 1 = 0

which is even.

Induction hypothesis: assume the statement is true for <em>n</em> = <em>k</em>, namely that <em>k</em> ² - <em>k</em> is even. This means that <em>k</em> ² - <em>k</em> = 2<em>m</em> for some integer <em>m</em>.

Induction step: show that the assumption implies (<em>k</em> + 1)² - (<em>k</em> + 1) is also even. We have

(<em>k</em> + 1)² - (<em>k</em> + 1) = <em>k</em> ² + 2<em>k</em> + 1 - <em>k</em> - 1

… = (<em>k</em> ² - <em>k</em>) + 2<em>k</em>

… = 2<em>m</em> + 2<em>k</em>

… = 2 (<em>m</em> + <em>k</em>)

which is clearly even. QED

8 0
3 years ago
Someone please help me​
GalinKa [24]
Answer:

A. 9 sqrt 2

Explanation:

Plug in hypotenuse and given side into
a^2 + b^2 = c^2 and solve.
8 0
3 years ago
Solve the system using the substitution method<br> 6x - 2y = -4<br> y= 3x + 2
Anit [1.1K]

Answer:

Step-by-step explanation:

6x - 2y = -4

y= 3x + 2

We see that y = 3x + 2 so we can use that value of Y everytime we see i in the other equation.

6x - 2(3x +2) = -4

Now usually we'd we simply solve for X.

6x - 6x -4 = -4

This clearly does not work as we cannot get rid of X

Therefore, this system of equations has no solution we can find through substitution

3 0
3 years ago
Read 2 more answers
Find the scale factor of the small triangle to the large triangle.
Korvikt [17]

Answer:

scale factor is: 2.25

Step-by-step explanation:

3 0
3 years ago
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