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Shalnov [3]
3 years ago
8

Help! This is a 45 45 90 triangle

Mathematics
1 answer:
Triss [41]3 years ago
4 0

Answer:

The 2nd one

Step-by-step explanation:

The ratio of the sides of 45-45-90 triangles is a:a:a\sqrt{2}. 9 would be the side that is equal to a\sqrt{2}, so to find what a is you have to do 9 divided by \sqrt{2}. The way you do this is make it the fraction \frac{9}{\sqrt{2}} and multiply that by \frac{\sqrt{2}}{\sqrt{2}} so you would get \frac{9\sqrt{2}}{2}, which is the second one

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What are the x-intercept and y-intercept of the graph of y=13x−6 ?
gtnhenbr [62]
To find the x-int., let y = 0 and solve for x:  13x = 6, so x = 6/13:  (6/13, 0)

To find the y-int., let x =0 and read off the y-int:  (0, -6)
7 0
3 years ago
Read 2 more answers
Fine the exact distance between the line 6x-y=-3 and the point (6,2). Show your work. Explain your answer.
AVprozaik [17]

Answer:

\sqrt{37} units

Step-by-step explanation:

If we draw a perpendicular from point (6,2) on the line 6x - y = - 3, then we have to find the length of the perpendicular.  

We know the formula of length of perpendicular from a point (x_{1}, y_{1} ) to the straight line ax + by + c = 0 is given by  

\frac{|ax_{1} + by_{1} +c |}{\sqrt{a^{2}+b^{2}}}

Therefore, in our case the perpendicular distance is  

\frac{|6(6)-2+3|}{\sqrt{6^{2} +(-1)^{2} } } = \frac{37}{\sqrt{37} } = \sqrt{37}  units. (Answer)

6 0
4 years ago
1. Find the measurement of angle J.<br><br> 2. (5x - 13) (3x + 17)
Alex Ar [27]

Answer:

Q1. x= 18, y=59

Q2. m∠J= 56°

Step-by-step explanation:

Q1. (3x +5)°= y° (base ∠s of isos. △)

y= 3x +5 -----(1)

(3x +5)° +y° +(4x -10)°= 180° (∠ sum of △)

3x +5 +y +4x -10= 180

7x +y -5= 180

7x +y= 180 +5

7x +y= 185 -----(2)

Substitute (1) into (2):

7x +3x +5= 185

10x= 185 -5

10x= 180

x= 180 ÷10

x= 18

Substitute x= 18 into (1):

y= 3(18) +5

y= 59

Q2. (5x -13)°= (3x +17)° (base ∠s of isos. △)

5x -13= 3x +17

5x -3x= 17 +13

2x= 30

x= 30 ÷2

x= 15

∠LKJ

= 3(15) +17

= 62°

∠KLJ= 62° (base ∠s of isos. △)

m∠J

= 180° -62° -62° (∠ sum of △JKL)

= 56°

8 0
3 years ago
A classroom has 2 bookcases that weigh 117 pounds altogether. If they all weigh the same amount, how much does each bookcase wei
Lapatulllka [165]

Answer:

58.5 pounds each.

Step-by-step explanation:

If two bookcases weigh 117 pounds and each weighs the same amount, each bookcase must weigh half of the total weight. 117/2 equals 58.5.

6 0
3 years ago
Read 2 more answers
The average time between infection with the AIDS virus and developing AIDS has been estimated to be 8 years with a standard devi
Dahasolnce [82]

Answer:

1/40

Step-by-step explanation:

3 0
3 years ago
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