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3 years ago

In the diagram shown, /Il m, m

Mathematics

1 answer:

Dmitry_Shevchenko [17]3 years ago

5 0

Answer:

29°

Step-by-step explanation:

Angles 1 and 8 are alternate exterior angles where a transversal crosses parallel lines, so are congruent.

m∠1 = m∠8

3x+25 = 4x-17

42 = m . . . . . . . . add 17-3x

Then the measure of ∠1 is 3·42 +25 = 151 (degrees), and the measure of its supplement, ∠2 is ...

m∠2 = 180° -151° = 29°

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The length of a rectangle is 4 more than twice the width. The perimeter is 74 feet. Find the length and width of the rectangle.

mafiozo [28]

(2*length)+(2*width)=perimeter
length=4+2w
(2(4+2w))+(2(w))=74
74=(8+4w)+(2w)
74=6w+8
66=6w
w=11
length=4+2(11)
l=4+22
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3 0

3 years ago

Solve x2 − 10x = −13.

aev [14]

Answer:

Step-by-step explanation:

First, let's rearrange the given equation into something more recognizable. If we add 13 to both sides, we now have the polynomial $x^{2}-10x+13$ . We can now use the quadratic formula to solve.

Remember that the quadratic formula is

$\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}$

Substitute the numbers from the equation into the formula.

$\frac{-(-10)+/-\sqrt{(-10)^{2}-4(1)(13) } }{2(1)}$

Simplify:

$\frac{10+/-\sqrt{100-52} }{2}$

$\frac{10+/-\sqrt{48} }{2}$

Here, I'm going to assume that there was a mistype in option B because if we divide out the 2 we end up with $5+/-\sqrt{48}$ .

Hope this helps!

6 0

2 years ago

Which expression has the largest value? Each has 3/8 as a factor.

evablogger [386]

C and A is the best answer

5 0

3 years ago

Read 2 more answers

solve the systems of equations via graphing then check the solution in each equation: 4x+6y=18, (y+2)=1/3(x+2)

Mariulka [41]

just wondering are you still stuck

8 0

3 years ago

Find the measure of ∠X

AVprozaik [17]

Answer:

7) 65°
8) 25°

Step-by-step explanation:

<u>Question 7</u>

Angle formed by 2 chords is half of the sum of the intercepted arcs

x = 1/2(72° + 58°) = 1/2(130°) = 65°

<u>Question 8</u>

Angle formed by 2 secants is half of the difference of the intercepted arcs

x = 1/2(360° - (130° + 98° + 41°) - 41°) = 1/2(50°) = 25°

3 0

3 years ago