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2 years ago

Find the greatest common factor of 6 and 15. a. 6 b. 3 c. 4 d. 2

Mathematics

2 answers:

Olin [163]2 years ago

8 0

Answer:

Step-by-step explanation:

Greatest common factor (GCF) of 6 and 15 is 3. We will now calculate the prime factors of 6 and 15, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6 and 15.

Hope this helps

hjlf2 years ago

6 0

Answer:3

Step-by-step explanation:

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#2 is the one I need help with

sleet_krkn [62]

Step-by-step explanation:

By arc sum Postulate of a circle:

2 x + 3x + 4x = 360°

9x = 360°

x = 360°/9

x = 40°

3x = 3* 40° = 120°

By inscribed angle theorem:

$m\angle 1= \frac {1}{2} \times 3x\\\\\therefore m\angle 1= \frac {1}{2} \times 120°\\\\\huge \red {\boxed {\therefore m\angle 1= 60°}}$

By tangent secant theorem:

$m\angle 2 = \frac {1}{2} \times 3x\\\\\therefore m\angle 2 = \frac {1}{2} \times 120°\\\\\huge \purple {\boxed {\therefore m\angle 2 = 60°}}$

Since, measure of central angle is equal to the measure of its corresponding minor arc.

$m\angle 3 = 3x\\\\\huge \pink {\boxed {\therefore m\angle 3 = 120°}}$

By angle sum Postulate of a triangle:

$m\angle 3 + 2 m\angle 4 = 180°\\\\120° + 2 m\angle 4 = 180° \\\\2 m\angle 4 = 180°- 120° \\\\2 m\angle 4 = 60° \\\\m\angle 4 = \frac {60°}{2} \\\\\huge \orange {\boxed {m\angle 4 =30°}}$

3 0

2 years ago

Solve the equation for x.

liq [111]

Answer:

$x=55$

Step-by-step explanation:

The given equation is $\sqrt{x-6}+3=10$

Group similar terms to get:

$\sqrt{x-6}=10-3$

$\sqrt{x-6}=7$

Square both sides to obtain:

$x-6=7^2$

$x-6=49$

Add 6 to both sides

$x=49+6$

Simplify the right hand side to obtain;

$x=55$

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2 years ago

140 fluid ounces increased by 45%

Radda [10]

$100\%\ increased\ by\ 45\%=100\%+45\%=145\%\\\\method\ \#1\\\\p\%=\frac{p}{100}\to145\%=\frac{145}{100}=\frac{145:5}{100:5}=\frac{29}{20}\\\\145\%\ of\ 140=\frac{29}{20}\cdot140=29\cdot7=\boxed{203\ (ounces)}\leftarrow answer$

$method\ \#2\\\\\begin{array}{ccc}140&-&100\%\\x&-&145\%\end{array}\ \ \ cross\ multiply\\\\\\100\cdot x=140\cdot145\ \ \ \ |divide\ both\ sides\ by\ 100\\\\x=\frac{140\cdot145}{100}\\\\\boxed{x=203\ (ounces)}$

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astraxan [27]

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algol [13]

Answer:

Step-by-step explanation:

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