Answer:
∠LOA≅∠LMA
Step-by-step explanation:
The first two options are incorrect because you need one more set of congruent ANGLES, not SIDES. The last option would prove congruency, but through ASA, not AAS. So it would be the third option.
Answer:
Same sides
Step-by-step explanation:
When the sides are the same then the triangles are congruent. because they all have exactly the same sides. because the two triangles do not have exactly the same sides.
Answer:
36 quarters 48 dimes 64 nickels
Step-by-step explanation:
quarter = q
dime = q+12
nickel = 2q-8
$17 = 1,700 cents
(q)25 + (q+12)10 + (2q-8)5 = 1,700
25q +10q+120 +10q-40 =1,700
45q+80 = 1,700
45q = 1620
q= 36
36 QUARTERS x25 = 900cents
48 DIMES x10 = 480 cents
64 NICKELS x 5 = 320 cents
TOTAL 1,700 cents ($17)
We are given a right triangle that has angles of 45°-45°-90°. This would
indicate that the triangle is an isosceles type. We can use some
trigonemetric functions to solve for the other legs. We do as follows:
sin 45 = p / 10
p = 5√2
cos 45 = q /10
q = 5√2
<span>Hope this answers the question. Have a nice day.</span>
Answer: a) (176.76,172.24), b) 0.976.
Step-by-step explanation:
Since we have given that
Mean height = 174.5 cm
Standard deviation = 6.9 cm
n = 50
we need to find the 98% confidence interval.
So, z = 2.326
(a) Construct a 98% confidence interval for the mean height of all college students.

(b) What can we assert with 98% confidence about the possible size of our error if we estimate the mean height of all college students to be 174.5 centime- ters?
Error would be

Hence, a) (176.76,172.24), b) 0.976.