Answer:
X= 50°
Y= 70°
Z= 30°
BDE= 30°
2BDE= 60°
Step-by-step explanation:
(2x -70 )+z+(2x+20)=180...(sum of angle on a straight line)
2x -70 = BDE... alternate angles
Y + (2x-70)+(50+x-20) = 180...(sum of angles in a triangle)
X-20 = z ... alternate and opposite angles
(2x -70 )+z+(2x-+20)=180
2x-70 + x-20 +2x +20= 180
5x -70= 180
5x = 250
X= 50°
X-20 = z
50-20= z
30° = z
2x -70 = BDE
2(50) -70 = BDE
100-70 = BDE
30°= BDE
Y + (2x-70)+(50+x-20)
Y + 100-70 +50 +50 -20 = 180
Y + 200-90=180
Y= 70°
2BDE = 2*30
2BDE= 60°
Answer:
544
Step-by-step explanation:
The ratios of cartons are ...
B : P = 2 : 1
S : L = 2 : 1
L : B = 2 : 1
Combining these into a single set of ratios, we have ...
S : L : B : P = 8 : 4 : 2 : 1
Then the proportion of the order that is strawberry is ...
8/(8+4+2+1) = 8/15
and the number of strawberry cartons is ...
(8/15)·1020 = 544
The store ordered 544 cartons of strawberry yogurt.
Considering the situation described, we have that:
a. x = 65 - 8 = 57.
b. You won the game, as you scored 137 and your friend 130.
<h3>What is the equation for the situation after five frames?</h3>
Your friend's score is of 65, and your score of x is 8 less than your friend, hence the equation is:
x = 65 - 8 = 57.
<h3>What are the final scores?</h3>
Your friend score doubled, hence his/her final score is:
2 x 65 = 130.
Your score increased by 80, hence your final score is:
57 + 80 = 137.
You won the game, as you scored 137 and your friend 130.
More can be learned about equations at brainly.com/question/25537936
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Answer:
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Step-by-step explanation:
Answer: rational
Step-by-step explanation:
Definitely rational because 576 and 684 are both natural numbers
