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3 years ago

GEOMETRY HELP PLEASE!!!!!!! I REALLY NEED HELP FAST!!!!!!! I WILL GIVE BRAINLIEST!

Mathematics

2 answers:

Nana76 [90]3 years ago

7 0

Answer:

2. Definition of linear pair; 3. Angles in a linear pair are supplementary; 4. Definition of supplementary; 5. m∠1+m∠2+m∠3 = 180°; 6. Substitution; 7. m∠1+m∠2 = m∠4, substitution property of equality

Step-by-step explanation:

A linear pair is two angles that together form a straight line. ∠3 and ∠4 together form a straight line, so they are a linear pair.

The angles in a linear pair are supplementary. This means that ∠3 and ∠4 are supplementary.

Supplementary angles sum to 180°; this means that m∠3+m∠4 = 180°.

The Triangle Sum Theorem states that the three angles of a triangle have measures that sum to 180°. This means that m∠1+m∠2+m∠3 = 180°.

Substituting m∠3+m∠4 for 180° gives us m∠1+m∠2+m∠3 = m∠3+m∠4.

Subtracting m∠3 from each side, using the substitution property of equality, gives us

m∠1+m∠2 = m∠4.

aleksandrvk [35]3 years ago

4 0

2. Definition of linear pair

3. Linear pair theorem

4. Definition of supplementary angles

5. m<1 + m<2 + m<3 = 180

6. Substitution property of equality

7. m<1 + m<2 + m<4

7. Subtraction property of equality

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Alex, Bob, and Claudia split 126 cm wire evenly among themselves. They then proceeded to cut their pieces of wire into smaller,

Westkost [7]

<h3>Answer:</h3>

Bob
18 cm

<h3>Step-by-step explanation:</h3>

If Alex cut his wire 18 times, he ended up with 19 equal pieces. He kept 7, so has 7/19 of his 1/3 of the wire.

Bob cut his wire 20 times, so ended up with 21 pieces, of which he kept 9. So he has 9/21 = 3/7 of his 1/3 of the wire.

Claudia kept 1/13 of her 1/3 of the wire, so has the smallest piece.

Bob kept (3/7)·(1/3)·126 cm = 18 cm.

Alex kept (7/19)·(1/3)·126 cm ≈ 15.47 cm.

Bob kept the longest part of the original wire.

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3 years ago

HELP

Westkost [7]

Answer:

see below

Step-by-step explanation:

The exponent rules that apply are ...

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3 years ago

Help please, be sure your right.

Zarrin [17]

Answer:

Step-by-step explanation:

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2 years ago

To two decimal places, find the value of k that will make the function f(x) continuous everywhere. f of x equals the quantity 3x

Fiesta28 [93]

Given function is

$f(x)=\left\{\begin{matrix}3x+k & x\leq -4 \\ kx^2-5 & x> -4\end{matrix}\right.$

now we need to find the value of k such that function f(x) continuous everywhere.

We know that any function f(x) is continuous at point x=a if left hand limit and right hand limits at the point x=a are equal.

So we just need to find both left and right hand limits then set equal to each other to find the value of k

To find the left hand limit (LHD) we plug x=-4 into 3x+k

so LHD= 3(-4)+k

To find the Right hand limit (RHD) we plug x=-4 into

$kx^2-5$

so RHD= $k(-4)^2-5$

Now set both equal

$k(-4)^2-5=3(-4)+k$

$16k-5=-12+k$

$16k-k=-12+5$

$15k=-7$

$k=-\frac{7}{15}$

k=-0.47

<u>Hence final answer is -0.47.</u>

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2 years ago

What is the slope of the line passing (-3 ,4) and (2, -1)?

alexdok [17]

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2 years ago