Answer:
x = 9
y = 13
Step-by-step explanation:
Side-Side-Side or SSS means that if all three sides of one triangle are equal to all three corresponding sides of another triangle, then the two triangles are considered to be congruent (equal).
Therefore, GH = PM ⇒ 7x + 8 = 6y - 7
and, GP = HM ⇒ 8x - 10 = 5y - 3
Rewrite the first expression to make x the subject, then substitute this into the second equation, and solve for y:
GH = PM
⇒ 7x + 8 = 6y - 7
⇒ 7x = 6y - 15
⇒ x = (6/7)y - 15/7
Substituting x = (6/7)y - 15/7 into GP = HM:
GP = HM
⇒ 8x - 10 = 5y - 3
⇒ 8[(6/7)y - 15/7] - 10 = 5y - 3
⇒ (48/7)y - 120/7 - 10 = 5y - 3
⇒ (13/7)y = 169/7
⇒ y = 13
Now we have found a value for y, substitute this into one of the expressions and solve for x:
8x - 10 = 5y - 3
⇒ 8x - 10 = (5 x 13) - 3
⇒ 8x - 10 = 62
⇒ 8x = 72
⇒ x = 9
Answer:
The correct options are;
A circular game piece is moved three squares forward
The flag on a mailbox is turned up
Step-by-step explanation:
An isometric transformation also known as isometry, is the rigid motion transformation or movement that preserves the shape, angles, and distances between of a pre-image (object) and the final image.
Rotation, reflection, translation (parallel motion), glide deflection (transformation involving translation and reflection) such as snow footprints are forms of isometric transformation.
Solution :
This is the two tailed test.
The null hypothesis and the alternate hypothesis is as :
Null hypothesis is 
Alternate hypothesis is 
Therefore, the critical value of z is :
Now the test statics is :
The test statics is 0.878
We see that it is a right tailed test.
= 0.3800
Thus , P-value > α
So we fail to reject the null hypothesis.
Option (b) -6 and 7 is the correct option.
The zeroes of the function f and g are x=7 and x=-6 respectively.
<h3>What are the zeroes of a polynomial?</h3>
The values of x that satisfy the formula f(x) = 0 are the zeros of a polynomial. The polynomial's zeros are the x values for which the function's value, f(x), equals zero in this case. The degree of the equation f(x) = 0 determines how many zeros a polynomial has.
Put x-7=0
X=7
Now, put x+6=0
So, x=-6
The zeroes of the function f and g are 7 and -6 respectively.
Learn more about zeroes of a polynomial at: brainly.com/question/10702726
#SPJ4
Hey there! :D
The angles are congruent since the triangles are congruent.
From the given statement, we can see that <C and <L are in the same place.
<C= 69 degrees, so <L= 69 degrees.
I hope this helps!
~kaikers
