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irina1246 [14]
3 years ago
5

Please hellp find x y and z

Mathematics
1 answer:
melomori [17]3 years ago
5 0

Answer:

angle x = 98

angle y = 82

angle z = 82

Step-by-step explanation:

angle y + 98 = 180; therefore, angle y = 82 degrees

angles z and y are alternate interior angles and are congruent (equal)

angle x is 98 degrees because angles x and y are same-side interior and their angles are supplementary (add up to 180 degrees)

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Find the area of quadrilateral with vertices at points (3,0)(4,5)(-1,4)(-2,-1)
guapka [62]

Answer: 20

Step-by-step explanation:

Let 's complete our quadrilateral to a rectangle ; and subtract from it the area highlighted in red

\displaystyle \rm S_{\diamond}=6\cdot 5 =30 \\\\ S_{ABCD}=30-(5:2+5:2+5:2+3:2+1\cdot1)=30-(7,5+1,5+1)=\\\\30-10=20 \\\\ S_{ABCD}=20

4 0
3 years ago
Read 2 more answers
A company sells a dried fruit mixture for $5 per pound. To make the mixture, banana chips that cost
ELEN [110]

Answer:

  2.5 pounds

Step-by-step explanation:

Let s represent the number of pounds of dried strawberries that should be added to the bananas. The total cost of the mixture will be ...

  (2.50)(3) +(8.00)(s) = (5.00)(3 +s)

  7.50 +8s = 15 +5s . . . . . . . eliminate parentheses

  3s = 7.50 . . . . . . . . . subtract 7.50+5s

  s = 2.50 . . . . . . divide by 3

2.5 pounds of dried strawberries should be added to make the mixture.

6 0
2 years ago
Please help out and if you know help me show work ??
Ghella [55]

Answer:  14

<u>Step-by-step explanation:</u>

Consecutive even numbers would be {2, 4, 6, 8, 10, ...}

Let x represent the smallest number, then x + 2 is the middle number and x + 4 is the largest number.

1st number: x

2nd number: x + 2

3rd number: x + 4

1st number + 2nd number + 3rd number = Sum

      (x)        +      (x + 2)       +      (x + 4)      =  48

                                                      3x + 6   =  48

                                                      3x          = 42

                                                        x           = 14

1st number: x           ⇒ x = 14

2nd number: x + 2   ⇒ 14 + 2 = 16

3rd number: x + 4    ⇒ 14 + 4 = 18

<u>Check:</u>

14 + 16 + 18 = 48 \checkmark

 

7 0
3 years ago
The superintendent of a school district wanted to predict the percentage of students passing a sixth-grade proficiency test. she
Orlov [11]

Answer:

B. H1= b1=0

Step-by-step explanation:

the alternative hypothesis is correct

7 0
3 years ago
Megan buys 3 bracelets and 3 necklaces. Each bracelet costs 5. Megan pays on 40 and gets 4 change. what is the cost of one neckl
djverab [1.8K]
The necklaces cost $3 each. 
8 0
3 years ago
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