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3 years ago

Based on the diagram below, what is the interior measure of ∠Y ?

Mathematics

1 answer:

nordsb [41]3 years ago

4 0

Answer:

∠Y = 104°

Step-by-step explanation:

vertical angles are equal ⇒ ∠DAN = ∠SAY = 48°

Sum of interior angles of a triangle = 180°

⇒ ∠SYA + 56 + 48 = 180

⇒ ∠SYA = 76°

Angles on a straight line add up to 180°

⇒ ∠Y + ∠SYA = 180°

⇒ ∠Y + 76 = 180

⇒ ∠Y = 104°

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Given in the figure below, find the values of X and Z.

sweet-ann [11.9K]

Answer:

$\boxed{x=9}\\\boxed{z=76}$

Step-by-step explanation:

Hello There!

<u>Geometry</u>

The angles shown represented by the expressions (11x + 5) and (5x+59) are vertical angles

Vertical angles are congruent so we can use this equation to solve for x

<u>Basic Algebra</u>

11x + 5 = 5x + 59

step 1 subtract 5x from each side

5x - 5x cancels out

11x - 5x = 6x

now we have 6x + 5 = 59

step 2 subtract each side by 5

5 - 5 cancels out

59 - 5 = 54

now we have 54 = 6x

step 3 divide each side by 6

6x/6=x

54/6=9

we're left with x = 9

now we want to plug in 9 into x for one of the expression

11(9) + 5

11 * 9 = 99

99 + 5 = 104

so we can conclude that the measure of the angle labeled ( 11x + 5 ) is 104 degrees

Now we need to find z

<u>Geometry</u>

The angle with a measure of 104 and angle Z are supplementary angles meaning that the sum of the two is 180

So to find z we subtract the known angle (104) from 180

180 - 104 = 76

so we can conclude that z = 76

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3 years ago

2 2/5 x 3/4 <br> plz help me! and plz show your work.

Aneli [31]

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Step-by-step explanation:

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When the women's soccer team won the state championship, the parent boosters welcomed the team back to school with a balloon b

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Answer:

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Step-by-step explanation:

Let f represent the number of foil balloons in each bouquet. Then 10-f is the number of latex balloons. The problem statement tells us the cost of all of the bouquets is ...

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Each bouquet included 2 foil and 8 latex balloons.

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4 years ago

The median of $20, x, 15, 30, 25$ is $0.4$ less than the mean. If $x$ is a whole number, what is the sum of all possible values

34kurt

Answer:

198

Step-by-step explanation:

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3 years ago

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<h3>Time graph</h3>

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2 years ago