Answer:
Step-by-step explanation:
<u>ΔABD ≅ ΔAEC because:</u>
- AD = AC = 17
- ∠A is common and congruent to itself
We have two sides and the included angle congruent - SAS
<u>Corresponding parts of congruent figures are congruent:</u>
Now, <u>∠CED is exterior angle and exterior angle is same as sum of non-adjacent interior angles:</u>
- m∠CED = m∠A + m∠C
- 79° = 42° + p°
- p = 79° - 42°
- p = 37°
Given:
1/2 pounds of strawberries
5 wooden baskets.
Simply divide 1/2 pounds by 5. It can be solved using fractions or decimals.
Using fractions:
1/2 ÷ 5 → 1/2 ÷ 5/1
Rules in dividing fractions.
1) Get the reciprocal of the 2nd fraction. 5/1 is the 2nd fraction, its reciprocal is 1/5
2) Multiply the 1st fraction with the reciprocal of the 2nd fraction.
1/2 * 1/5 = 1*1 / 2*5 = 1/10
Each wooden basket will have 1/10 pounds of strawberries.
If you solve it using decimals,
1/2 = 0.50
0.50 ÷ 5 = 0.10
0.10 is equivalent to 1/10 pounds.
Answer:
-4
Step-by-step explanation:
The function is linear; therefore, the slope of the line joining any two points is the same.
We take any two points from the table and compute the slope or rise/ run between them— let is take points (-4, -2) and (-2, -10).
The slope 
of the line joining the points is
The slope of the function is -4.
Answer:
David might be 40
Step-by-step explanation:
Brianna = 20 + 20 = 40 = David
James = 10 x 2 = Brianna
David = 40 - 20 = Brianna
Answer:
length of CD = 18 units.
Step-by-step explanation:
In ΔABC and ΔCED,
AB║DE and AD is a transversal line,
m∠ABC = m∠CED [Alternate interior angles]
m∠ACB = m∠DCE [Vertically opposite angles]
ΔABC ~ ΔCED [By AA property of similarity]
Therefore, by the property of similar triangles, corresponding sides will be proportional.
CD = 6
Since, AD = AC + CD
AD = 12 + 6
= 18 units
Therefore, length of CD = 18 units.
