Answer:
See below
Step-by-step explanation:
It's hard to see your photo but if that say m∠T than your answer would be
m∠ L.
The drawings are saying the the triangles are congruent which means all the interior angles of one triangle are congruent to the angles of the second triangle. m∠M = m∠J, m∠K = m∠E and m∠L = m∠T
Since you have two of the angles, you can also determine what m∠L and m∠T is equal to. The sum on all interior angles must be 180 degrees.
180 - 86 - 32 = 62
Answer:
n = 1
Step-by-step explanation:
Represent the number by n. Then "seven less than twice a number is -5 becomes 2n - 7 = -5
Next we must solve for n. Adding 7 to both sides yields 2n = 2, so that
n = 1
Answer:
Step-by-step explanation:
Hello, please consider the following.
So this is divisible by 3.
Now, to prove that this is divisible by 9 = 3*3 we need to prove that
is divisible by 3. We will prove it by induction.
Step 1 - for n = 1
4+17=21= 3*7 this is true
Step 2 - we assume this is true for k so 
is divisible by 3
and we check what happens for k+1
is divisible by 3 and
is divisible by 3, by induction hypothesis
So, the sum is divisible by 3.
Step 3 - Conclusion
We just prove that is divisible by 3 for all positive integers n.
Thanks
The trick to calculating the area here is to subdivide the diagram into smaller parts. For example, there's a 3 cm-by-3cm square. The rectangle is 4 cm by 8 cm.. The triangle has a base of 5 cm and a height of 3 cm.
Total area = area of square + area of rectangle + area of triangle
= 9 cm^2 + 32 cm^2 + (1/2)(5 cm)(3 cm)
= (9 + 32 + 7.5) cm^2
= 48.5 cm^2 (total area of figure)
Answer: $832
Step-by-step explanation:
Lauren earned $13 per hour and she worked for 64 hours.
Total she would make is:
= 13 * 64
= $832
