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3 years ago

How can you determine congurence and similarity

1 answer:

3 0

Here you go :) AA (Angle-Angle) If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

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Given the equation, y= 1/3 x - 4. what is the slope and the y-intercept?

tamaranim1 [39]

Answer:

The slope (m) = 1/3 and the y-intercept (b) = -4

3 0

3 years ago

find three consecutive odd integers such that the sum of the smallest number and middle number is 27 less than 3 times the large

katrin2010 [14]

A generic odd number can be written as

$2k+1,\quad k \in \mathbb{Z}$

Since there is an odd number every two numbers, three consecutive odd numbers will be

$2k+1,\quad 2k+3,\quad 2k+5$

Now let's make up the equations: the sum of the first two is

$(2k+1)+(2k+3)$

And 27 less than 3 times the largest is

$3(2k+5)-27$

These two must be the same, so we have

$(2k+1)+(2k+3)=3(2k+5)-27 \iff 4k+4 = 6k+30-27 \iff 4k+4=6k+3$

Subtracting 4k and 3 from both sides gives

$1=2k \iff k=\dfrac{1}{2}$

Which means that the problem has no solution.

To confirm this hypothesis, we can observe that, on the left hand side, we have the sum of two odd numbers, which is even

On the right hand side, we have an odd number, multiplied by 3 (still odd), take away 27 (still odd).

So, the left hand side is even, and the right hand side is odd. They can't be the same number.

7 0

4 years ago

8. Find GH, E 3-4 HY - H 2 3x - 4 G SI F 9x - 59 D

Ostrovityanka [42]

Answer:

GH= 47

Step-by-step explanation:

$2(3x - 4) = 9x - 59$

$6x - 8 = 9x - 59$

$6x - 9x = - 59 + 9$

$\cfrac{ - 3x}{ - 3} = \cfrac{ - 51}{ - 3}$

$x = 17$

$gh = 3(17) - 4$

$51 - 4$

$= 47$

8 0

2 years ago

a sporting good store received an order of 90 baseball caps, of which 18 were green. if 1 of the 90 caps is selected at random,

makvit [3.9K]

Visualize that out of the 90 caps, how many were green? 18 were green. So how many were not green? 90 caps - 18 caps = 72 caps. That means 72 caps were not green in that sporting good order. Therefore, the probability of one cap selected at random from the total 90 caps will not be green will be 72/90 which is roughly 0.8 or 80 percent.

4 0

3 years ago

Gary has a field on his property that he wants to sod. His field is 20 yards long and 40 yards wide.

Brilliant_brown [7]

Answer:

a) 800 square yards

b) 7200 square feet

Step-by-step explanation:

a) 40*20= 800 square yards

b) Each yard is 3 feet.

(40*3)*(20*3)=120*60=7200 square feet

5 0

2 years ago