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saul85 [17]
3 years ago
7

What is the measure of the angle in the Southwest corner of the intersection of broadway and 22nd street

Mathematics
1 answer:
Svetllana [295]3 years ago
7 0

Answer:

  105°

Step-by-step explanation:

Maps are usually oriented so that North is up. That means the southwest corner is below and to the left of the intersecting lines. Since numbered streets are usually parallel, we're to assume that W 22nd street is parallel to W 20th street. That makes Broadway a transversal of parallel lines, and it makes the angle of interest a corresponding angle to the one whose measure is shown.

In this (assumed) geometry, corresponding angles are congruent, so the angle of interest has measure 105°.

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Explain why (4, 1) is not a solution to the equation y=3x+1
nexus9112 [7]

In (4, 1) 4 represents x, and 1 represents y

y = 3x + 1

1 = 3(4)+1

1 = 12 + 1

1 ≠ 13   ← sides are not equal so (4, 1) is not a solution to y=3x+1

6 0
3 years ago
Consider the equation. Which graph shows a line that is perpendicular to the line defined by the given equation? A. In a linear
Nikolay [14]

The graph second represents the line that is perpendicular to the line y = 4x - 2 option  (B) is correct.

<h3>What is the slope?</h3>

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

The question is incomplete:

The complete question is:

Consider the equation y = 4x - 2 Which graph shows a line that is perpendicular to the line defined by the given equation?

Please refer to the attached picture.

The given line:

y = 4x - 2

The slope of the line m = 4

The slope of the line which is perpendicular to the above line:

M = -1/4 = -0.25

The graph second has a slope of -0.25

\rm y\ -2\ =\ \dfrac{\left(2-0.5\right)}{-4-2}\left(x+4\right)

y - 2 = -0.25x - 1

y = -0.25x + 1

Thus, the graph second represents the line that is perpendicular to the line y = 4x - 2 option  (B) is correct.

Learn more about the slope here:

brainly.com/question/3605446

#SPJ1

6 0
2 years ago
Please help <br> A: 8<br> B: 22<br> C: 32<br> D: 44
horrorfan [7]

Answer:32, XZ is twice the size of AC

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the derivative of y with respect to x if y = 2/X4
zepelin [54]
You're correct, the answer is C.

Given any function of the form y=x^n, then the derivative of y with respect to x (\frac{dy}{dx}) is written as:
\frac{dy}{dx}=nx^n^-^1

In which n is any constant, this is called the power rule for differentiation.

For this example we have y= \frac{2}{x^4}, first lets get rid of the quotient and write the expression in the form y=x^n:
y= \frac{2}{x^4} =2x^-^4

Now we can directly apply the rule stated at the beginning (in which n=-4):
\frac{dy}{dx}=(2)(-4)x^{-4-1}=-8 x^{-5}= -\frac{8}{x^5}

Note that whenever we differentiate a function, we simply "ignore" the constants (we take them out of the derivative).
6 0
3 years ago
Please simplify this fraction c:
Liula [17]
F you just want to see the really short way, just skip down to AAAAAAAAAAAA

so, here is the long explanation
exponential properties
x^{-m}= \frac{1}{x^m}

don't forget pemdas
2x^2=2(x^2)

so
\frac{2x^{-4}}{3xy}=\frac{2 \frac{1}{x^4} }{3xy}=  \frac{2}{3x^5y}


AAAAAAAAAAAAAAAAAAAAAAAA
so we see
the original equatio is
\frac{2x^{-4}}{3xy}

remember
\frac{ab}{cd} =( \frac{a}{c})( \frac{b}{d})

so we can seperate the constants
\frac{ab}{cd} =( \frac{2}{3})( \frac{x^{-4}}{xy})

we know that the placeholders cannot affet the position of the constants unless they are grouped together which they are not

terfor the answer must have 2/3 in it

the only one that hsa that is A


ANSWER IS A
3 0
3 years ago
Read 2 more answers
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