If the triangles are congruents:
1) AC must be congruent with FE→AC=FE→y+3=2y+1→
y+3-y-1=2y+1-y-1→
2=y→y=2
2) CB must be congruent with ED→CB=ED→5x+7=6x+2y→
5x+7-5x=6x+2y-5x→7=x+2y→x+2y=7
Replacing y=2 in the equation above:
x+2y=7→x+2(2)=7→x+4=7→x+4-4=7-4→x=3
Then the lenght of each hypotenuse is:
CB=5x+7=5(3)+7=15+7→CB=22
or
ED=6x+2y=6(3)+2(2)=18+4→ED=22
The length of each hypotenuse is 22
Answer:
30°
Step-by-step explanation:
First we must know that the sum of the interior angles of a triangle sum up to 180°. Furthermore, a straight line is also 180°. By using these what we know we can determine what the value of m∠X is.
First we know that m∠W and m∠Z make up a straight line, since m∠W is 105° it follows that:
180° = m∠W + m∠Z
And so:
m∠Z = 180° - m∠W = 180°-105° = 75°
m∠Z = 75°
Now, we also know that the sum of m∠X + m∠Y + m∠Z = 180° and so:
m∠X = 180° - m∠Y - m∠Z
m∠X = 180° - 75° - 75° = 30°
Therefore, m∠X = 30°
Answer:
0.375
Step-by-step explanation:
You mean 3/8 right?
3/8=0.375
Answer: 24
Yes (x-2) is a factor. There is a remainder.
Step-by-step explanation:
2³-8•2²+14•2-4
8-8•4+14•2-4
0•4+14•2-4
0+14•2-4
14•2-4
28-4
24
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