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Anettt [7]
2 years ago
8

Find x please and FAST!!!

Mathematics
1 answer:
Vsevolod [243]2 years ago
4 0

Answer:

19

Step-by-step explanation:

Angle ZYW is congruent to angle YWX, so the 3 angles must add to 180.

(3x - 5) + 90 + 2x = 180

5x + 85 = 180

5x = 95

x = 19

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Problem Ari thinks the perfect milkshake has 333 ounces of caramel for every 555 scoops of ice cream. Freeze Zone makes batches
Diano4ka-milaya [45]

Answer:

That their milkshakes need more caramel or less ice cream.

Step-by-step explanation:

We can see that Ari's numbers for a perfect milkshake gives us a caramel to ice cream ratio of 333 / 555 = 0,6.

But the Freeze Zone uses a caramel to ice cream ratio of 666 / 888 which is equal to 0,75.

Their milkshakes have less caramel and more ice cream than Ari's perfect milkshake so Ari will think that Freeze Zone's milkshakes are not sweet enough.

I hope this answer helps.

8 0
2 years ago
Find the measure indicated. Assume that the lines which appear to be tangent are tangent. PART 3
ludmilkaskok [199]

I'll do problems 13 and 14 to get you started.

=====================================================

Problem 13

<h3>Answer:  32 degrees</h3>

-----------------------

Explanation:

Refer to the diagram below for problem 13. Since BD is a tangent of the circle, this means angle ABD is 90 degrees, and furthermore x+y = 90. This solves to y = 90-x.

If we focus on triangle ABC, then we can add the interior angles and set the sum equal to 180

A+B+C = 180

z+y+y = 180

z+2y = 180

z+2(90-x) = 180 .... plug in y = 90-x

z+180-2x = 180

z-2x = 180-180

z-2x = 0

z = 2x

We'll use this later.

Now move onto triangle ABD. This is a right triangle due to angle ABD being 90 degrees. The acute angles z and 26 are complementary, meaning they add to 90. So,

z+26 = 90

z = 90-26

z = 64

Now plug this into z = 2x and solve for x

z = 2x

64 = 2x

2x = 64

x = 64/2

x = 32

=====================================================

Problem 14

<h3>Answer: 31 degrees</h3>

-----------------------

Explanation:

Refer to the image shown below for problem 14. Like before, I've added various labels to it to help find the angle we're after (the red angle x).

Note how I've drawn a dashed line from point A to point D. This splits up quadrilateral ABCD into two triangles ABD and ACD. These triangles can be shown to be congruent using the HL (hypotenuse leg) theorem.

The congruent triangles also implies that angle DBC and angle BCD are the same measure (both are shown in green as the variable y).

Focus on triangle BCD. It has interior angles of: y, y and 62. Add them up, set the sum equal to 180.

y+y+62 = 180

2y+62 = 180

2y = 180-62

2y = 118

y = 118/2

y = 59

As the image attachment mentions, the angles x and y add to 90 degrees. This is because angle ABD is 90 degrees, due to segment BD being tangent to the circle. So x+y = 90 leads to x = 90-y, and therefore,

x = 90-y

x = 90-59

x = 31

Side note: it is not a coincidence that we ended up with half of the value of 62.

3 0
3 years ago
Courtney had $55 to spend at the fair. She paid $22.50 for rides and $14.25 for lunch and snacks. Courtney says she has $18.25 l
Sever21 [200]
B. is the answer all it asking you is she correct that she only has 18.25 to play with for the games.


3 0
3 years ago
A local college student will be randomly selected to attend a leadership conference in Washington DC there are 2016 local colleg
bezimeni [28]
Male student: 40/100 = 2/5
graduate: 520/2106 = 65/252

2/5 + 65/252

= 829/1260 ( this is the probability)


5 0
3 years ago
How do I solve 18=6(2x-8)
lisabon 2012 [21]

Answer:

x=11/2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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