Answer:
If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.
Step-by-step explanation:
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Answer:
2 miles = 126720 (looked it up)
Step-by-step explanation:
The system of inequalities can model Gabrielle’s situation is;
x + 2y ≤ 20
x + 2y ≤ 203x + 2y ≤ 21
<h3>Inequality</h3>
It follows from the task content, that the inequalities which can be used to model Gabrielle's situation be determined.
By setting variables as follows;
- batches of brownies = x
- batches of cookies = y
Brownie:
Sugar = 1 cup
Eggs = 2
Cookie:
Sugar = 3 cups
Eggs = 2
x + 2y ≤ 20
x + 2y ≤ 203x + 2y ≤ 21
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Answer:

Step-by-step explanation:
<u><em>The complete question is</em></u>
A chef bought $17.01 worth of ribs and chicken. Ribs cost 1.89 per pound and chicken costs 0.90 per pound. The equation 0.90 +1.89r = 17.01 represents the relationship between the quantities in this situation.
Show that each of the following equations is equivalent to 0.9c + 1.89r = 17.01.
Then, explain when it might be helpful to write the equation in these forms.
a. c=18.9-2.1r. b. r= -10÷2c+9
we have that
The linear equation in standard form is

where
c is the pounds of chicken
r is the pounds of ribs
step 1
Solve the equation for c
That means ----> isolate the variable c
Subtract 1.89r both sides

Divide by 0.90 both sides

Simplify

step 2
Solve the equation for r
That means ----> isolate the variable r
Subtract 0.90c both sides

Divide by 1.89 both sides

Simplify

therefore
The equation
is equivalent
The equation is helpful, because if I want to know the number of pounds of chicken, I just need to substitute the number of pounds of ribs in the equation to get the result.
Answer:
38
Step-by-step explanation:
AB is parallel to CD. So, <ABC = <BCD.
Now, <BCD = <ABC = 180 - 111 - 31 = 38