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antiseptic1488 [7]
3 years ago
5

What is the value of z in the diagram?

Mathematics
1 answer:
lutik1710 [3]3 years ago
4 0

Answer:

2

Step-by-step explanation:

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6. Josh had 5 times as much money as Karen. Both spent $20 each. Josh has 6 times as
vazorg [7]

Answer:

Josh had $500

Karen had $100

Step-by-step explanation:

          J = 5K

  J - 20 = 6(K - 20)

5K - 20 = 6K - 120

      100 = K

          J = 500

3 0
2 years ago
5+2 root 3 / 7+4 root 3 =a-6root3
STALIN [3.7K]

Answer:

<h2>a = 11</h2>

Step-by-step explanation:

\dfrac{5+2\sqrt3}{7+4\sqrt3}\qquad\text{use}\ (a+b)(a-b)=a^2-b^2\\\\=\dfrac{5+2\sqrt3}{7+4\sqrt3}\cdot\dfrac{7-4\sqrt3}{7-4\sqrt3}=\dfrac{(5+2\sqrt3)(7-4\sqrt3)}{7^2-(4\sqrt3)^2}\qquad\text{use FOIL}\\\\=\dfrac{(5)(7)+(5)(-4\sqrt3)+(2\sqrt3)(7)+(2\sqrt3)(-4\sqrt3)}{49-4^2(\sqrt3)^2}\\\\=\dfrac{35-20\sqrt3+14\sqrt3-8(3)}{49-(16)(3)}=\dfrac{(35-24)+(-20\sqrt3+14\sqrt3)}{49-48}\\\\=\dfrac{11-6\sqrt3}{1}=11-6\sqrt3

8 0
3 years ago
Henry uses a total of 36 blue beads and 28 red beads to make 4 bracelets. Each
mart [117]

Answer: (9,7)

Step-by-step explanation: 32 Divided by 4 = 9 and 28 Divided by 4 = 7.

So there would be 9 Blue and 7 Red

8 0
2 years ago
Read 2 more answers
The average test scores for a particular test in algebra was 84 with a standard deviation of 5. What percentage of the students
Delicious77 [7]

Answer:

The percentage of the students scored higher than 89% is 15.87%

Step-by-step explanation:

we are given

The average test scores for a particular test in algebra was 84

so, mean is 84

\mu=84

a standard deviation of 5

so,

\sigma=5

we have

x=89

now, we can use z-score formula

z=\frac{x-\mu}{\sigma}

now, we can plug values

z=\frac{89-84}{5}

z=1

now, we can use calculator

and we get

p(z>1)=0.1587

So,

The percentage of the students scored higher than 89% is 15.87%

8 0
3 years ago
Which transformations map the strip pattern onto itself?
NemiM [27]

Answer:

C

Step-by-step explanation:

The strip patterns new image and pre image orientation are vertical so anything that has horizontal translation in it is wrong

  • C is right becuase we can reflect the b across a vertical line to get to P
3 0
2 years ago
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