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3 years ago

A) Complete this sentence : Angle XBC equals 55 because...

Mathematics

2 answers:

Vesna [10]3 years ago

7 0

The answer is 70° have a good day

tigry1 [53]3 years ago

6 0

Answer:

m∠BXC = 70°.

We start out with m∠XBC. It is 55°, because it is a corresponding angle with ∠AXY.

Since ∠XBC and ∠XCB are the base angles of an isosceles triangle, they are congruent. This means that m∠XCB = 55°.

To find the measure of ∠BXC, we find the sum of the two base angles in the isosceles triangle and subtract it from 180:

180-(55+55) = 180-110 = 70°

Step-by-step explanation:

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mrs_skeptik [129]

The answer is -60.

Why is this so??

The information we have here is that Rafeal rode his bike downhill by 6 kilometers.

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let m represent how many meters the altitude declined.

If there is a positive number (ex. 2) multiplied by a negative number (-2), The result will be negative (-4) and vice-versa.

Same goes with division. positive number (4) divided by negative number (-2), the result will be a negative quotient.

Therefore, the answer would be -60m, or -60 meters.

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2 years ago

What is the equation of a line parallel to y=1/2×+6 that passes through (-4,1)

IgorC [24]

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

$y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{2}}x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

so we're really looking for the equation of a line whose slope is 1/2 and passes through (-4 , 1)

$(\stackrel{x_1}{-4}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ \cfrac{1}{2}}(x-\stackrel{x_1}{(-4)}) \\\\\\ y-1=\cfrac{1}{2}(x+4)\implies y-1=\cfrac{1}{2}x+2\implies y=\cfrac{1}{2}x+3$

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2 years ago

Point C is in the interior of ∠ABD, and ∠ABC ≅ ∠CBC. If m∠ABC = (5/8x + 18) and m∠CBD = (4x), what is m∠ABD?

mixer [17]

Answer:

$\angle ABD =42.4^{\circ}$

Step-by-step explanation:

We are given that Point C is in the interior of ∠ABD

We are also given that ∠ABC ≅ ∠CBD

Now ,

$\angle ABC = (\frac{5}{8}x + 18)\\\angle CBD = (4x)$

Since we are given that ∠ABC ≅ ∠CBD

So, $\frac{5}{8}x + 18=4x\\4x-\frac{5}{8}x=18\\\frac{32x-5x}{8}=18\\\frac{27x}{8}=18\\x=\frac{18 \times 8}{27}\\x=5.3$

$\angle CBD = (4x)=4(5.3)=21.2^{\circ}$

$\angle ABD = \angle CBD+\angle ABC=21.2+21.2=42.4^{\circ}$

Hence $\angle ABD =42.4^{\circ}$

8 0

3 years ago

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IgorC [24]

Answer: E

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Anastaziya [24]

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3 years ago

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