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sleet_krkn [62]
3 years ago
14

What is the value of y?

Mathematics
1 answer:
zubka84 [21]3 years ago
7 0

Answer:

y = 40

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

y+10 + 2y +50 = 180

3y+60 = 180

Subtract 60 from each side

3y+60-60 = 180-60

3y = 120

Divide each side by 3

3y/3 = 120/3

y = 40

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VikaD [51]

Answer:

11.25 // 11 \frac{1}{4}

Step-by-step explanation:

15×0.75

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2 years ago
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A function is defined as {(0, 1), (2, 3), (5, 8), (7, 2)}. Isaac is asked to create one more ordered pair for the function. Whic
Digiron [165]

Answer:

The correct answer is 2 . (1 , 3)

Step-by-step explanation:

A function is used to denote a particular relationship between variables. They can even be visualized as an input-output machine.

Every function has a domain set and a co-domain set. A function maps elements from domain to the elements of co-domain.

Here the domain can be considered as  { 0 , 2 , 5 , 7}.

Here the co- domain can be considered as { 1 , 3, 8 , 2}.

For a function to be a valid function, all elements from the domain should have an image in the co- domain and every element of domain should have exactly one image in the co-domain.

Here the options 1 , 3 and 4 violate the second necessary criteria for the function to be valid.

Hence (1 , 3) is the correct answer.

8 0
2 years ago
Today, everything at a store is on sale. The store offers a 20% discount.
kotykmax [81]

Answer:

a) $19.2

b) 0.8x

c) $17.5

Step-by-step explanation:

1. We want to find the discount price given the regular price

The discount is 20%

so the discount price will be;

24 - 20% of 24

24 - 4.8 = $19.2

b) We have this as;

x - (20% of x)

x - 0.2x = 0.8x

c) let the original price be x

x - 20% of x = 14

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6 0
3 years ago
Line l is parallel to line e in the figure below.
agasfer [191]

Answer: The correct option are as follows;

(1) The triangles are similar because corresponding sides are congruent

(2) The triangles are similar because alternate interior angles are congruent

(3) In the similar triangles, Angle 3 and Angle 6 are corresponding angles

Step-by-step explanation: Please refer to the picture attached for details.

The line i and line e has been drawn and marked as parallel lines. Also two transversal lines m and n have been drawn to intersect in the region between the parallel lines to form two triangles (as shown in the picture).

From the information given, where line e intersects with line n we have angle 1, and where line e intersects with line m we have angle 3, and then the third angle is angle 2.

Furthermore, where line l intersects line m we have angle 6, and where line l intersects line n is angle 4. Also in this second triangle, the third angle is 5.

Upon close observation we would see that Angle 6 is equal to Angle 3, since the transversal m has cut across both parallel lines l and e. Similarly Angle 4 is equal to Angle 1 since the transversal n has cut across parallel lines l and e. Having that Angles 3 and 1 are congruent to Angles 6 and 4, we can conclude that the value of the third angle in one triangle is equal to the that of the third in the second triangle, that is, Angle 2 equals Angle 5. Also, if the angles are similar and the lines l and e are parallel, then the lines formed in both triangles are equal.

So our conclusions are;

The interior angle are alternate angles (Angles 3 and 6, Angles 1 and 4), and the third interior angles are Opposite (Angles 2 and 5 {Opposite angles are equal})

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Tanya [424]

Answer:

$25

Step-by-step explanation:

8 0
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