Answer: Option D. 16
Solution:
If LM is a midsegment of IJK, it is joining the midpoint of the sides IJ and IK, and it's half the length of the base of the triangle (JK), then:
L is the midpoint of the side IJ, and divides it into two congruent parts:
IL=LJ
Replacing IL by 7x and LJ by 3x+4:
7x=3x+4
Solving for x: Subtracting 3x both sides of the equation:
7x-3x=3x+4-3x
Subtracting:
4x=4
Dividing both sides of the equation by 4:
4x/4=4/4
Dividing:
x=1
Then we can determine the length of LM:
LM=2x+6
Replacing x by 1 in the equation above:
LM=2(1)+6
LM=2+6
LM=8
and because LM is half the length of the base of the triangle (JK)
LM=(1/2) JK
Replacing LM by 8:
8=(1/2) JK
Multiplying both sides of the equation by 2:
2(8)=2(1/2) JK
16=(2/2) JK
16=(1) JK
16=JK
JK=16
The digits on the right side are half the value on the left ones
Answer:
11.7 cm
Step-by-step explanation:
Using Pythagoras Theorem
AC² = AB² + BC²
AB = 4 cm
BC = 11 cm
AC² = 4² + 11²
AC = √4² + 11²
AC =✓137
AC = 11.704699911 cm
Approximately = 11.7 cm
Length AC = 11.7cm
Answer:
178 chairs
Step-by-step explanation:
(something) rows of (something) columns always means to multiply. So, let's multiply 8 x 23:
8 × 23 = 184
Now, since the workers removed 6 of the chairs, there are 6 less chairs in the theater. Let's subtract 6 from 184 to get our final answer:
184 - 6 = 178
Hope this was helpful! Let me know if you have any other questions abou this problem. :)
Answer:
Step-by-step explanation:
