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3 years ago

Find the measure of angle x 125

Mathematics

1 answer:

Tema [17]3 years ago

8 0

Answer:

x = 125 degrees

Step-by-step explanation:

The vertical angles theorem states that two angles opposite to each other that are formed from 2 intersecting lines are congruent.

Therefore, angle x and the angle that is 125 degrees are congruent to each other.

So, x=125 degrees.

Hope this helps! :)

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Colin & Brian share a lottery win of £2100 in the ratio 4 : 1. Colin then shares his part between himself, his wife & th

Paraphin [41]

Answer:

His wife gets $336 more than his son.

Step-by-step explanation:

Colin and Brian:

Ratio of 4:1.

So Colin gets $\frac{4}{4+1} = \frac{4}{5}$ of the prize.

$\frac{4*2100}{5} = 1680$

Colin got $1680. Dividing between himself, his wife and their son:

Ratio of 2:5:3.

So Colin gets $\frac{2}{2+3+5} = \frac{2}{10}$ , his wife gets $\frac{5}{2+3+5} = \frac{5}{10}$ and his son gets $\frac{3}{2+3+5} = \frac{3}{10}$

Wife:

$\frac{5*1680}{10} = 840$

His wife got $840.

Son:

$\frac{3*1680}{10} = 504$

His son got $504.

How much more does his wife get over their son?

840 - 504 = 336

His wife gets $336 more than his son.

8 0

3 years ago

-0.5(x + 0.3) – 0.2x = 4.1

lys-0071 [83]

Answer:

x=-8

Step-by-step explanation:

I always change the decimals into whole numbers by multiplying them by 10. If you do this, it is much easier to solve. All you do is multiply every term by 10.

the equation changes to

-5(x+3)-2x=41

-5x-15-2x=41

combine like terms

-7x-15=41

bring the 15 over to the 41

-7x=56

divide everything by 7

-x=8

change x to a positive

x=-8

3 0

3 years ago

Find 2 common angles that sum to (17pi/12) 2. Evaluate tan(17pi/12) using the sum identity for tangent.

Dmitry [639]

Note that
$\frac{17 \pi }{12} = \frac{3 \pi }{12} + \frac{14 \pi }{12} = \frac{ \pi }{4} + \frac{7 \pi }{6}$

Note that
$x= \frac{ \pi }{4}:\,\, sin(x) =cos(x)= \frac{1}{ \sqrt{2} },\,tan(x)=1\\x= \frac{7 \pi }{6} :\,\,sin(x)=- \frac{1}{2} ,\,\,cos(x)=- \frac{ \sqrt{3} }{2} ,\,\,tan(x)= \frac{1}{ \sqrt{3} }$

Use the identity
$tan(x+y)= \frac{tan(x)+tan(y)}{1-tan(x)tan(y)}$

Therefore
$tan( \frac{17 \pi }{12} )= \frac{1+ \frac{1}{ \sqrt{3} } }{1- \frac{1}{ \sqrt{3} } } = \frac{ \sqrt{3}+1 }{ \sqrt{3}-1} = \frac{( \sqrt{3}+1 )^{2}}{( \sqrt{3}-1 )( \sqrt{3}+1 )} = \frac{3+1+2 \sqrt{3}}{3-1} =2+ \sqrt{3}$

Answer: 2 + √3

8 0

3 years ago

Find an expression for the area of this shape ( plz show working out)

ankoles [38]

Answer:

this is your answer. thanks!!

8 0

4 years ago

I need the answer ASAP Tap on the picture to see it fully

bezimeni [28]

Answer:

g = 55

f = 55

h = 55

Step-by-step explanation:

g = 180 - 25 = 55

this is because angle on a straight line is equal to 180 degrees

f = 55

alternate angles are equal. f alternates g

h = 55

opposite angels are equal

6 0

3 years ago