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tigry1 [53]
2 years ago
7

Write and solve an equation to find the value of x and a missing angle in each triangle below. Use the number bank to help you c

heck your solutions as you fill in each blank. Not all of the numbers will be used.

Mathematics
1 answer:
jolli1 [7]2 years ago
5 0

Answer:

1. x = 30

REC = 130

Step-by-step explanation:

2x + 70 = 4x + 10

60 = 2x

x = 30

you try the others

Good luck :D

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What is the value of the expression?
deff fn [24]

Answer:

13/6

Step-by-step explanation:

1 Simplify  \sqrt{8}

8

​

  to  2\sqrt{2}2

2

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.

\frac{2}{6\times 2\sqrt{2}}\sqrt{2}-(-\frac{18}{\sqrt{81}})

6×2

2

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2

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2

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−(−

81

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18

​

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2 Simplify  6\times 2\sqrt{2}6×2

2

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  to  12\sqrt{2}12

2

​

.

\frac{2}{12\sqrt{2}}\sqrt{2}-(-\frac{18}{\sqrt{81}})

12

2

​

2

​

 

2

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−(−

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)

3 Since 9\times 9=819×9=81, the square root of 8181 is 99.

\frac{2}{12\sqrt{2}}\sqrt{2}-(-\frac{18}{9})

12

2

​

2

​

 

2

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−(−

9

18

​

)

4 Simplify  \frac{18}{9}

9

18

​

  to  22.

\frac{2}{12\sqrt{2}}\sqrt{2}-(-2)

12

2

​

2

​

 

2

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−(−2)

5 Rationalize the denominator: \frac{2}{12\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}}=\frac{2\sqrt{2}}{12\times 2}

12

2

​

2

​

⋅

2

​

2

​

​

=

12×2

2

2

​

​

.

\frac{2\sqrt{2}}{12\times 2}\sqrt{2}-(-2)

12×2

2

2

​

​

 

2

​

−(−2)

6 Simplify  12\times 212×2  to  2424.

\frac{2\sqrt{2}}{24}\sqrt{2}-(-2)

24

2

2

​

​

 

2

​

−(−2)

7 Simplify  \frac{2\sqrt{2}}{24}

24

2

2

​

​

  to  \frac{\sqrt{2}}{12}

12

2

​

​

.

\frac{\sqrt{2}}{12}\sqrt{2}-(-2)

12

2

​

​

 

2

​

−(−2)

8 Use this rule: \frac{a}{b} \times c=\frac{ac}{b}

b

a

​

×c=

b

ac

​

.

\frac{\sqrt{2}\sqrt{2}}{12}-(-2)

12

2

​

 

2

​

​

−(−2)

9 Simplify  \sqrt{2}\sqrt{2}

2

​

 

2

​

  to  \sqrt{4}

4

​

.

\frac{\sqrt{4}}{12}-(-2)

12

4

​

​

−(−2)

10 Since 2\times 2=42×2=4, the square root of 44 is 22.

\frac{2}{12}-(-2)

12

2

​

−(−2)

11 Simplify  \frac{2}{12}

12

2

​

  to  \frac{1}{6}

6

1

​

.

\frac{1}{6}-(-2)

6

1

​

−(−2)

12 Remove parentheses.

\frac{1}{6}+2

6

1

​

+2

13 Simplify.

\frac{13}{6}

6

13

​

Done

4 0
1 year ago
Pythagorean theorem
Talja [164]

Answer:

b=20 yards

Step-by-step explanation:

15^2+x^2=25^2

225+x^2=625

x^2=400

x=20

5 0
3 years ago
Write 2.385 as a fraction or mixed number in simplest form.
never [62]
2.385 can be written as 2385/1000, which is equivalent to 477/200. As a mixed number it is writte as 2 77/200. Hope I helped!
5 0
3 years ago
If x=-7 is a root of the equation x^2+kx+49=0, then k=​
aleksley [76]

Answer:

k=14

Step-by-step explanation:

Given:

x^{2}+kx+49 = 0

x = -7

Substitution can be used to find the value of k:

(-7)^{2}+(-7)k+49 = 0

49-7k+49 = 0

98 -7k = 0

k = 14

Hope this helps :)

8 0
3 years ago
What is the value of x? x−2/5=7 Enter your answer in the box in simplest form. x =
fenix001 [56]

Answer:

Your answer is 17.5

Step-by-step explanation:

Turn your fraction into a decimal

2/5 = 0.4

Next multiply my given answer by 0.4

17.5 x 0.4 = 7

Therefore 17.5 is your final answer

3 0
3 years ago
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