Given:
A figure in which a transversal line intersect two parallel lines.
and 
.
To find:
The value of x and y.
Solution:
We know that, if a transversal line intersect two parallel lines, then
(1) Alternate exterior angles are equal.
(2) Same sided interior angles are supplementary. So their sum is 180 degrees.
In the given figure j and k are parallel lines and l is a transversal line.
From the given figure, it is clear that,
(Alternate exterior angles are equal)
Therefore, the value of x is 20.
Now,
(Same sided interior angles are supplementary)
Therefore, the value of y is 38.
Answer:
54
Step-by-step explanation:
$1284 + $910
= $2184
$2184 ÷ $40
= 54.6
= 54
Answer:
39%
Step-by-step explanation:
It is given that 35 apartments have balconies in them.
While 55 apartments do not have balconies in them.
Total number of balconies is the sum of the apartments. i.e. 35 + 55
= 90 apartments
Therefore for the survey when an apartment is randomly selected, the percentage of the probability of the apartment to have a balcony can be found out by dividing 35 by 90 and then multiply by 100.
i.e.
= 0.38888888
Multiplying by 100, we get
= 0.388888 x 100
= 38.8888 %
= 39 %
Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.
Step-by-step explanation:
Cost of almonds per pound = $10
Cost of roasted pistachios = $12
Total amount spent = $70
Weight of nuts = 6.3
Let,
Weight of almonds = x
Weight of roasted pistachios = y
According to given statement;
x+y=6.3 Eqn 1
10x+12y=70 Eqn 2
Multiplying Eqn 1 by 10
Subtracting Eqn 3 from Eqn 2;
Dividing both sides by 2
Putting y=3.5 in Eqn 1
Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.
Keywords: linear equations, elimination method
Learn more about elimination method at:
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<span>Which of the following is not an acceptable form of proof
a. two-column proof
b. indirect proof
c. conjecture proof
d. flowchart proof
</span>....
. It would be an indirect proof that is not an acceptable form of proof. This is because this type proof is not used by any problem (B) is the answer
