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Kay [80]
3 years ago
12

Undefined Slope. Through (97 , 73)

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
4 0

Answer:

Equation of line through ((x_{1},y_{1})) having undefined slope is given by

 \frac{y-y_{1}}{x-x_{1}}=tan\alpha   where α =90°

Now ,it is given that line passes through (97, 93)

So , equation of line is

→ \frac{y-73}{x-97} = tan 90°

As, tan 90°=1/0

\frac{y-73}{x-97}=\frac{1}{0}\\

→  (x-97)×1= (y-73)×0

→ x-97 =0

→ x=97 , which is the required equation of line.

 

     




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In quadrilateral ABCD,AB produced is perpendicular to DC produced.If A=44° and C=148°,calculate D and B.
7nadin3 [17]
Let AB extended intersect DC extended at point E 
<span>We now have right triangle BEC with E = 90 degrees </span>

<span>For triangle BEC: </span>
<span>Exterior angle at E = 90 </span>
<span>Exterior angle at C = 148 (given) </span>
<span>Exterior angle of all polygons add up to 360 degrees </span>
<span>Exterior angle at B = 360−148−90 = 122 </span>

<span>So in quadrilateral ABCD </span>
<span>B = 122 </span>
<span>D = 360−44−148−122 = 46</span>
5 0
3 years ago
A community action committee is planning a block party. The party will be successful only if at least 70 adults and children att
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Answer:

A. a + c ≥ 70; 15a + 4c ≤ 1000

Step-by-step explanation:

<u>Given data:</u>

A community action committee is planning a block party

The party will be successful if at least 70 adults (a) and children (c) attend

Their budget for the party is $1,000

The cost for each adult will be $15

And the cost for each child will be $4

<u>Solution:</u>

<u />

At least 70 adults and children attend.

So the inequality here is a + c ≥ 70

The budget for the party is $1,000.

So the cost for all adults plus the cost for all children cannot exceed $1,000

And hence the inequality here is; 15a + 4c ≤ 1,000

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McKenzie makes and sells quilts at an art fair. The materials for each quilt cos t$30.50. She sells the quilts for $80. If "n" r
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Answer:

Total profits = 49.50n

Step-by-step explanation:

Cost of each quilt = $30.50

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= $49.50 × n

= 49.50n

Total profits = 49.50n

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3 years ago
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