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3 years ago

How to do proportional triangles

1 answer:

7 0

Answer: If the measures of the corresponding sides of two triangles are proportional then the triangles are similar. Likewise if the measures of two sides in one triangle are proportional to the corresponding sides in another triangle and the including angles are congruent then the triangles are similar.

Step-by-step explanation:

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Does a = 8 b=15 c=17 make a right triangle and why

ArbitrLikvidat [17]

Ok so pythagorean theorem is
a^2+b^2=c^2
plug it in
8^2+15^2=17^2
64+225=289
289=289

yass it works so that means they do make a right triangle

yes, they make a right triangle because they're a pythagorean triple and pythagorean theorem works when you plug the numbers in.

4 0

2 years ago

Given m ZLMN = 145°, what is m ZXMN?<br> Show all relevant work.

myrzilka [38]

80 degrees. 145 = (4x+5) + (6x-10) = 10x-5... so 10x = 150, x = 15. LMN = 6x-10 = 6(15) - 10 = 80.

4 0

3 years ago

Rectangle STUV has square PQRS removed, leaving an area of 92 m^2. Side PT is 4 m in length and side RV is 8m in length

Andrei [34K]

Answer:

117 $m^{2}$

Step-by-step explanation:

First think of the square that was removed. All 4 sides are equal but you don't know the length so lets gives them the variable X.

So to find the area of the rectangle, insert those variables into the area equation for a rectangle.

(RV + (X) ) (PT +(X)) = rectangle area

Now you are given what the area is if you remove the square. So subtract the the square's area from the equation above and set it equal to the size they told you.

(RV + (X)) (PT + (X)) - [(X)(X)] = 92 $m^{2}$

rectangle - square = remaining area

Now plug in the numbers you know and solve for X.

(8 + X) (4 + X) - ((X)(X)) = 92

Use FOIL to multiply the first part of the equation (first, outer, inner, last)

32 + 8x + 4x + $x^{2}$ - $x^{2}$ = 92

32 + 12x = 92

12x = 60

x = 5

So now you know the size of the square. Each side is 5m. So add 5m onto the top of the rectangle and onto the side. The top is 13m and the side is 9m. The area of the rectangle is the length times the height to 13 x 9 which is 117 $m^{2}$

6 0

2 years ago

On ITV's Homework Hotline, it's time for "Rudolf's Rules." If you guess what rule Rudolf is using you get a prize. Someone puts

oee [108]

Answer:

y = 3x -18 ( where y = balls sent back by Rudolf; x= balls given to Rudolf)

Step-by-step explanation:

x (Balls given) y( Balls sent back)

8 6 Δy/Δx = (27-6)/(15-8) = 3

15 27

25 57 Δy/Δx = (57-27)/(25-15) = 3

Observing the number sequence shows constant gradient and as such we can use equation of a straight line to relate the two variables.

Using the equation of a straight line we have:

(y-y1)/(x-x1) = (y2-y1)/(x2-x1)

y-6/x-8 = (27-6)/(15-8)

y-6/x-8 = 3

y-6 = 3(x-8)

y-6 = 3x - 24

y = 3x-18

7 0

3 years ago

Ava poured 3 gallons of paint equally into 5 cans. How many gallons of paint will there be in each can

FromTheMoon [43]

Answer:

0.6 gallons/can

Step-by-step explanation:

Simply divide the gallons of paint by the number of cans:

$\frac{3-gallons-of-paint}{5-cans}$ = 0.6 gallons/can

5 0

2 years ago

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