Answer:
value of y is,
Step-by-step explanation:
Exterior angle property of a triangle says that:
Sum of the two opposite interior angles.
From the given triangle:
Sum of two opposite interior angles = y +y = 2y
Since, 114 degree is an exterior angle of a triangle,
By Exterior angle property of a triangle :
Divide both sides by 2 we have;
y = 57 degree
Therefore, the value of y is,
The opposite interior angles of the given triangle measure 57° each. So, the value of y is 57.
A triangle is one of the most basic geometric figures. It has 3 edges, 3 angles, and 3 vertices. The angle sum property of a triangle states that the sum of all three angles of a triangle is 180°. The property of triangles used in this question is that the sum of interior opposite angles measures the same as the exterior angle.
Since the sum of opposite interior angles is equal to the exterior angle, therefore in the given triangle,
Therefore, the value of y is 57.
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The equation for the number of beats per minute is 55 beats per minute
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total number of beats be = A
Now , the value of A = 220 beats
The total time required for Sam to have 220 beats = 4 minutes
So , the number of beats of Sam in 1 minutes is calculated by
The equation will be
The number of beats of Sam in 1 minutes is = total number of beats / total time required for Sam to have 220 beats
The number of beats of Sam in 1 minute is = 220 / 4
The number of beats of Sam in 1 minute is = 55 beats per minute
Therefore , Sam would have 55 beats every minute or 55 beats per minute
And for the period of 4 minutes , Sam would have
Number of beats for 4 minutes = number of beats of Sam in 1 minute x 4
Number of beats for 4 minutes = 55 x 4
Number of beats for 4 minutes = 220 beats in 4 minutes
Hence , The equation for the number of beats per minute is 55 beats per minute
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Answer:
140 toy cars
Step-by-step explanation:
The ratio of Ed's toy car to Pete's toy car is initially given as 5:2
Ed gave Pete a total number of 30 cars
Let x represent the greatest common factor that exists between both number
Number of Ed's car is represented as 5x
Number of Pete car is represented as 2x
Since they each have an equal number of cars which is 30 then we can solve for x as follows
5x-30=2x+30
Collect the like terms
5x-2x= 30+30
3x= 60
Divide both sides by the coefficient of x which is 3
3x/3=60/3
x=20
Ed's car is 5x, we substitute 20 for x
5(20)
= 100 cars
Pete car is 2x,we substitute 20 for x
2(20)
= 40 cars
Therefore, the total number of cars can be calculated as follows
= 100+40
= 140 toy cars
Hence they have 140 toy cars altogether
Answer:
140
Step-by-step explanation: