Question 15 -
SOLUTION:
Let's establish the formula for the gradient / slope of a line as follows:
Slope = ( y2 - y1 ) / ( x2 - x1 )
Now we will simply substitute the values from the problem into the gradient / slope formula in order to obtain the value of ( y ).
x1 = 5
x2 = - 7
y1 = 2
y2 = y = ?
Slope = ( y2 - y1 ) / ( x2 - x1 )
5 / 6 = [ ( y ) - ( 2 ) ] / [ ( 5 ) - ( - 7 ) ]
5 / 6 = ( y - 2 ) / ( 5 + 7 )
5 / 6 = ( y - 2 ) / 12
( y - 2 ) / 12 = 5 / 6
y - 2 = ( 5 / 6 ) × 12
y - 2 = 60 / 6
y - 2 = 10
y = 10 + 2
y = 12
FINAL ANSWER:
Therefore, the answer is:
y = 12
Hope this helps! :)
Have a lovely day! <3
No, ΔTSR and ΔQRS cannot be proven congruent by SAS because not enough is information given to prove the triangles congruent by SAS.
<h3>What is Congruency?</h3>
Two figures or objects are congruent if they have the same shape and size.
To prove using SAS congruency we should have at least two congruent side and one congruent angle.
But we don't have the sufficient information.
Hence, ΔTSR and ΔQRS cannot be proven congruent by SAS.
Learn more about this concept here:
brainly.com/question/14806382
#SPJ1
Answer:
C
Step-by-step explanation:
Using Parts Whole Postulate we can write:
∠LQP = ∠LQR + ∠PQR
We know that ∠LQP = 77° and ∠LQR = 35° so we can write:
77° = 35° + ∠PQR
Therefore the answer is 77 - 35 = 42°.
Answer:
C/2pi = r
Step-by-step explanation:
C = 2pir
C/2pi = r
1 1/2 = 3/2
<span>2 1/3 = 7/3 </span>
<span>3/2 * 7/3 = 21/6 = 3 3/5 = 3 1/2 cups</span>
