Hello from MrBillDoesMath!
Answer:
k = 10
Discussion:
angle MYK = 180 and angle MYX = 180 => angle ZYX = 180 - 115 - 65
Trialing XYZ has 180 degrees so
180 = (4k + 5) + (6k+10) + 65 => combine like terms
180 = (4k + 6k) + (5 + 10 + 65) => as 4k +6k = 10k
180 = 10k + 80 => subtract 80 from both sides
180 -80 = 100 = 10k => divide both sides by 10
100/10 = k
Thank you,
MrB
Answer:
35+5x
Step-by-step explanation:
Pick each bracket and solve them separately. After solving, then you add them
the first bracket= (9x2-2x+7) = 25-2x ------- eqn 1
the second bracket= (4x2+7x+2) = 10+7x ---- eqn 2
Add eqn 1 and 2
= (25-2x) + (10+7x)
Grouping like terms,
= (25+10) + (-2x+7x)
=35+5x
Answer:
A counterexample is sufficient, as long as it is well built and complete.
Step-by-step explanation:
A counterexample is a statement used to show that a previously spoken statement is false.
The counterexample must be direct, clear, simple, well constructed and concise to be effective. If the counterexample has all of these characteristics, only one counterexample is sufficient to show that a conditional statement is flawed.
As an example of this, we can use a square as a counterexample of a statement that states that every rectangle has 4 equal sides.
C) All rectangles are quadrilaterals and parallelograms.
This is because all rectangles have 2 sets of parallel sides, making them a parallelogram, and always have 4 sides because they have 4 right angles and in regular shapes # of angles is always equal to # of sides. Hope this helped!
Answer:
12.5
Step-by-step explanation:
