What’s the value of y?

Mathematics

1 answer:

ratelena [41]2 years ago

3 0

Answer:

Step-by-step explanation:

Since BD and AE are parallel lines, then

∠BDC = ∠AED ( corresponding angles ), thus

4x - 5 = 97 - 2x ( add 2x to both sides )

6x - 5 = 97 ( add 5 to both sides )

6x = 102 ( divide both sides by 6 )

x = 17, hence

∠AED = 97 - 2x = 97 - (2 × 17) = 97 - 34 = 63°

∠BDE and ∠AED are same side interior angles and are supplementary, thus

10y - 3 + 63 = 180

10y + 60 = 180 ( subtract 60 from both sides )

10y = 120 ( divide both sides by 10 )

y = 12 → D

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A baker bakes 50 muffins. 1/5 of the muffins are chocolate chip. 1/2 of the muffins are blueberry. The rest are cinnamon. How ma

vitfil [10]

Answer:

15 muffins are cinnamon.

Step-by-step explanation:

Given that:

Number of muffins baked = 50 muffins

Chocolate chip muffins = 1/5 of 50 = $\frac{1}{5}*50$

Chocolate chip muffins = 10 muffins

Blueberry muffins = 1/2 of 50 = $\frac{1}{2}*50$

Blueberry muffins = 25

Cinnamon muffins = Muffins baked - chocolate chip muffins - blueberry muffins

Cinnamon muffins = 50 - 10 - 25

Cinnamon muffins = 50 - 35 = 15

Hence,

15 muffins are cinnamon.

5 0

2 years ago

Someone pls help me ill give out brainliest pls don’t answer if you don’t know

iren [92.7K]

Answer:

Step-by-step explanation:

The area of a sector has the formula

$A_s=\frac{\theta}{360}*\pi r^2$ Hopefully, this looks somewhat familiar to you. Theta is the central angle given as 75, r is the radius given as 4. Filling in:

$A_s=\frac{75}{360}*(3.14)(4)^2$ and simplifying that a bit to look less threatening, but not by much:

$A_s=\frac{5}{24}(3.14)(16)$ and

$A_s=\frac{251.2}{24}=\frac{157}{15}=10.466666666...$ Not sure how you're supposed to express your answer so I gave both the fraction and its decimal equivalency.