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2 years ago

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Mathematics

1 answer:

atroni [7]2 years ago

7 0

Answer:

x = 21

Step-by-step explanation:

72+46+(2x+20)=180

118+20+2x=180

138+2x=180

138-138+2x=180-138

2x=42

2x/2=42/2

x=21

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Please answer number 1.

Aneli [31]

Answer: The two specific conjectures are in the first image, and the two general conjectures are in the second image.

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2 years ago

The slant height is 8 inches and the diameter is 8 inches, what

Lynna [10]

Answer:

150.85inches

Step-by-step explanation:

TSA of cone= πr(r+l)

= 22/7×4(4+8)

= 150.85inches

4 0

2 years ago

Write an equation of a line that is perpendicular to the line y=2/3x and passes through origin

sesenic [268]

keeping in mind that perpendicular lines have negative reciprocal slopes, hmmm what's the slope of the equation above anyway?

$\bf y = \cfrac{2}{3}x\implies y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{2}{3}}x+0\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill$

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\cfrac{2}{3}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{3}{2}}\qquad \stackrel{negative~reciprocal}{-\cfrac{3}{2}}}$

so we're really looking for the equation of a line whose slope is -3/2 and runs through (0,0).

$\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{0})~\hspace{10em} \stackrel{slope}{m}\implies -\cfrac{3}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-\cfrac{3}{2}}(x-\stackrel{x_1}{0})\implies y=-\cfrac{3}{2}x$

7 0

3 years ago

4. Two more than a certain number is 15 less 7 8 than the product of and the number.

Serggg [28]

Answer:

Equation: x + 2 = 7/8x - 15

Solution: x = -136

Explanation:

x + 2 = 7/8x - 15

2 + 15 = 7/8x - x

17 = 7/8x - 8/8x

17 = -1/8x

17 × -8 = x

-136 = x

4 0

2 years ago

2x-3=-(4x+9) epic bruh moment,i cant seem to get this right someone please answer it for me.

tatyana61 [14]

Answer: x = -1

Step-by-step explanation:

2x-3= - 4x+9
2x+4x = -9 + 3
6x = -9 + 3
6x/6 = -6/6
x = -1

8 0

3 years ago