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3 years ago

−4(w+1)=−24 solve for w

Mathematics

2 answers:

lianna [129]3 years ago

8 0

Answer:

W=5

Step-by-step explanation:

castortr0y [4]3 years ago

7 0

Answer:

w = 5

Step-by-step explanation:

Given

- 4(w + 1) = - 24 ( divide both sides by - 4 )

w + 1 = 6 ( subtract 1 from both sides )

w = 5

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3 years ago

Triangle ABC has a right angle at C. Select all measurements which would mean it has a hypotenuse with a length of 10 units. a.

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Option d: Angle A is 30 degrees, BC is 5 units

Option e: AC is 8 units, BC is 6 units

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The triangle ABC has a right angle at C.

The length of the hypotenuse is 10 units.

The image of the triangle with this measurement is attached below:

Option a: Angle A is 20 degrees, BC is 2 units

$\begin{aligned}\sin 20 &=\frac{2}{h y p} \\h y p &=\frac{2}{\sin 20} \\&=5.8476\end{aligned}$

Since, hypotenuse is 10 units, Option a is not correct answer.

Option b: AC is 7 units, BC is 3 units

$\begin{aligned}A B &=\sqrt{7^{2}+3^{2}} \\&=\sqrt{49+9} \\&=\sqrt{58}\end{aligned}$

Since, hypotenuse is 10 units, Option b is not correct answer.

Option c: Angle B is 50 degrees, BC is 4 units

$\begin{aligned}\cos 50 &=\frac{4}{h y p} \\h y p &=\frac{4}{\cos 50} \\&=6.222\end{aligned}$

Since, hypotenuse is 10 units, Option c is not correct answer.

Option d: Angle A is 30 degrees, BC is 5 units

$\begin{aligned}\sin 30 &=\frac{5}{h y p} \\h y p &=\frac{5}{\sin 30} \\&=10\end{aligned}$

Since, hypotenuse is 10 units, Option d is the correct answer.

Option e: AC is 8 units, BC is 6 units

$\begin{aligned}A B &=\sqrt{8^{2}+6^{2}} \\&=\sqrt{64+36} \\&=\sqrt{100} \\&=10\end{aligned}$

Since, hypotenuse is 10 units, Option e is the correct answer.

Thus, Option d and e are the correct answers.

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