Answer:
alternate interior angles theorem
Step-by-step explanation:
The alternate interior angles theorem states that when two parallel lines are cut by a transversal, the resulting angles produced are a pair of congruent alternate interior angles.
Given the image attached below, both line k and line l are parallel to each other and also, line t is the transversal, therefore the resulting congruent alternate interior angles produced are:
∠ 4 ≅ ∠6, ∠1 ≅ ∠7
Answer:
10*10=100
50*2=100
5*20-100
Step-by-step explanation:
Answer: 
Step-by-step explanation:
Given the following expresion provided in the exercise:

You can follow these steps in order to evaluate it when
and
:
1. You need to substitute
and
into the given expression:

2. Now you can solve the mutiplication:

3. Since
, you get:

4. You must solve the division. Divide the numerator 16 by the denominator 4. Then:

5. And finally, you must solve the addition. So, you get this result:

C:t=2:3
t:h=2:1
multiply first equation by 2 and 2nd by 3
c:t=4:6
t:h=6:3
so
c:t:h=4:6:3
if t is 4 more than c
t is 6 units and c is 4
6-4=2
so 4=2 units
2=1 unit
hollly is 3 units
3*2=6
holly has 6 cards
Answer:
sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x
Step-by-step explanation:
From the given triangle JKL;
Hypotenuse KJ = 10.9
Length LJ is the opposite = 8.9cm
The angle LKJ is the angle opposite to side KJ = x
Using the SOH CAH TOA Identity;
sin theta = opp/hyp
sin LKJ = LJ/KJ
Sinx = 8.9/10.9
x = arcsin(8.9/10.9)
sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x