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4 years ago

The three inside angles (A,B and C) of a right angled triangle are in the ratio 7:18:11

1 answer:

6 0

This is overdetermined. Without looking at the ratio (except for the order of the sides) the actute angles in a right triangle are complementary so the answer must be:

Answer: A=35°, C=90°, B=55°

We can do it the way they like.

7+18+11 =36

so to get 180 degrees we need to scale the ratio elements by a factor of 5.

7:18:11=35:90:55

A is the smallest. We see C is indeed a right angle and B is complementary to A.

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$<span>3,170 is the answer</span>

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3 years ago

Two angles are supplementary. One angle is 36 degrees bigger than the other. What is the measure of the bigger angle

Lorico [155]

let the other angle be x degree

bigger angle = x +36°

According to the question,

x+36° + x° = 180°

=> 2x = 180–36

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4 years ago

A team can spend no more than $300 on shirts. The team has already spent $80. How many shirts for $15 each can they still buy? A

katovenus [111]

Answer: 14 shirts

A . s (stands for shirts) <( less then or equal to) 14

B. because it can be exactly 14 shirts or less than 14 shirts depending if oyu want to use all the money

C. 20 would be a solution if you wouldnt have already spent the 80 dollars on other things, since the team did it would be too much money.

Step-by-step explanation:

300- 80 = 220

220/ 15 = 14.6 round 14.6 to 14 (because you cant buy half a shirt)

you can get 14 shirts

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3 years ago

Find the equation of the line perpendicular to the<br> given line through the point (1,9). y=1/3x+5

Ivan

Slope-intercept form: y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

For lines to be perpendicular, their slopes have to be the negative reciprocal of each other. (Basically flip the sign +/- and the fraction[switch the numerator and the denominator])

For example:

Slope = $\frac{1}{3}$

Perpendicular line's slope = $-\frac{3}{1}$ or -3

Slope = -2 or $-\frac{2}{1}$

Perpendicular line's slope = $\frac{1}{2}$

$y=\frac{1}{3} x+5$ The given line's slope is $\frac{1}{3}$ , so the perpendicular line's slope is -3. Now that you know the slope, substitute/plug it into the equation:

y = mx + b

y = -3x + b To find b, plug in the point (1, 9) and isolate/get the variable "b" by itself in the equation

9 = -3(1) + b Add 3 on both sides to get "b" by itself

9 + 3 = -3 + 3 + b

12 = b

y = -3x + 12

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3 years ago

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