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Kitty [74]
3 years ago
11

The triangle below has an area of 75 units squared. Find the missing side.

Mathematics
1 answer:
Volgvan3 years ago
5 0

Answer:

x = 15 units

Step-by-step explanation:

Here, base of triangle = x units & height = 19 units

Area( \triangle) =  \frac{1}{2}  \times base  \times height \\  \\ 75 =  \frac{1}{2}  \times x \times 10 \\  \\ 75 = x \times 5 \\  \\ x =  \frac{75}{5}  \\  \\ \huge \purple{ \boxed{ x = 15 \: units}}

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A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?
Gnesinka [82]

Answer:

C

Step-by-step explanation:

If a square has 4 sides and the perimeter is 12x + 52, you have to divide 12x + 52 by 4 to get the length of a single side

12x / 4 = 3x

52 / 4 = 13

3x + 13

8 0
4 years ago
Find the slope-intercept form of the equation of the line passing through the given points.
Ugo [173]
The\ slope-intercept\ form:y=mx+b\\\\The\ slope-point\ form:y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

(1;\ 1)\to x_1=1;\ y_1=1\\\left(3;-\dfrac{1}{5}\right)\to x_2=3;\ y_2=-\dfrac{1}{5}.\\\\Subtitute:\\\\m=\dfrac{-\frac{1}{5}-1}{3-1}=\dfrac{-1\frac{1}{5}}{2}=-\dfrac{\frac{6}{5}}{2}=-\dfrac{\not6^3}{5}\cdot\dfrac{1}{\not2_1}=-\dfrac{3}{5}


y-1=-\dfrac{3}{5}\left(x-1\right)\\\\y-1=-\dfrac{3}{5}x+\dfrac{3}{5}\ \ \ \ |add\ 1\ to\ both\ sides\\\\\boxed{y=-\frac{3}{5}x+1\frac{3}{5}}


5 0
4 years ago
If a+b=9 and ab=18,find the value of a and b.
Blizzard [7]

Answer:

Given:

a + b = 9

=> a = 9 - b

Given:

a x b = 18

=> (9 - b) x b = 18

=> 9b - b^2 = 18

=> b^2 - 9b + 18 = 0

=> (b - 3)(b - 6) = 0

=> b = 3 => a = 6

=> b = 6 => a = 3

Hope this helps

:)

3 0
3 years ago
An ostrich that is 63 inches tall is 17 inches taller than 2 times the height of a kiwi.
DerKrebs [107]

Answer:

The kiwi is 23 inches tall.

Step-by-step explanation:

63= 2k + 17

46= 2k

k= 23 inches tall

8 0
3 years ago
A grasshopper covered a distance of 5 yards in 9 equal hops.How many yards did the grasshopper travel on each hop?
Luda [366]
5/9 = .55555555555 yards traveled per hop
15/9 = 1.6666667 feet per hop
5 0
3 years ago
Read 2 more answers
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