Step-by-step explanation:
angle J is also 67 deg since the triangle is an isosceles triangle
angle T is 67 deg since the 2 triangles are congruent
angle G = 180 - 2x67 = 46 deg
ST is 5cm
HJ is 3.7cm
Step-by-step explanation:
Pear cost=x
Orange cost=x-y
4 pears= 4x
6 oranges=6x-6y or x-y x6
Use ratio.
Pears: x cents
4 Pears: 6x cents
You x4 on each side. Same with oranges.
Orange: x-y
6 oranges: x-y x6
You x6 on each side.
Answer:
C
Step-by-step explanation:
We have the system of equations:

And an ordered pair (10, 5).
In order for an ordered pair to satisfy any system of equations, the ordered pair must satisfy both equations.
So, we can eliminate choices A and B. Satisfying only one of the equations does not satisfy the system of equations.
Let’s test the ordered pair. Substituting the values into the first equation, we acquire:

Evaluate:

Evaluate:

So, our ordered pair satisfies the first equation.
Now, we must test it for the second equation. Substituting gives:

Evaluate:

So, the ordered pair does not satisfy the second equation.
Since it does not satisfy both of the equations, the ordered pair is not a solution to the system because it makes at least one of the equations false.
Therefore, our answer is C.
Answer:
I believe it's SSS
Step-by-step explanation:
This is because all sides are congruent to each other.
Answer:
0.7429
Step-by-step explanation:
Given that Of the 721 students at the college, 299 of them apply for loans when entering graduate school.
So p = proportion of students applying for loans = 
Each student is independent of the other and there are two outcomes
Hence out of 45 students the no of students who apply for loans say X is binomial with n =45 and p = 0.415
the probability that more than 16 of them apply for loans
=
=0.7429