Answer:
The triangles aren't necessarily congruent. SAS postulate is side angle side, which means that the angle that is congruent must be between the two sides that are congruent. DF is congruent to MN, and DG is congruent to MP. This means, that angle D must be congruent to angle M.
However, we only know that D is congruent to P, not M.
These triangles are not necessarily congruent.
60°; all of of the angles of a triangle add up to 180° so 180 divided by 3 equals 60°.
The value of the probability is 3/14
<h3>How to solve the probability?</h3>
The given parameters are:
P(A) = 4/7
P(B | A) = 3/8
The probability of events A and B occurring is calculated using:
P(A and B) = P(B | A) * P(A)
So, we have:
P(A and B) = 3/8 * 4/7
Evaluate the product
P(A and B) = 3/14
Hence, the value of the probability is 3/14
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The value of y is am-z/7
<h3>How to calculate the value of y ?</h3>
The expression is given as follows
3y +z= am-4y
The first step is to collect the like terms in both sides, this way the numbers that both have y as their coefficient will be on the same side
3y + 4y= am-z
y(3+4)= am -z
7y= am-z
Divide both sides by the coefficient of y which is 7
7y/7= am-z/7
y= am-z/7
Hence the value of y in the expression is am-z/7
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Answer:
This system has infinite solutions and it would be much easier to solve it by elimination but substitution it is.
Step-by-step explanation:
-3x+3y=9
-x+y=3
Isolate either x or y in any of the equations. I'll go with the second.
y = 3+x
Now substitute this for y in the first equation.
-3x+3(3+x)=9
Distribute the 3
-3x+9+3x=9
Combine like terms:
9=9
0=0
It's infinite
