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3 years ago

13

Please help me ASAP

1 answer:

lutik1710 [3]3 years ago

8 0

9514 1404 393

Answer:

30°

Step-by-step explanation:

Consecutive interior angles are supplementary when the lines are parallel:

2x +4x = 180°

x = 180°/6

x = 30°

_____

<em>Comment on units</em>

A lot of times the angles are assumed to be measured in degrees. Using that assumption, x=30 (degrees). When no units are specified, the angle measure defaults to radians. In radians, x = π/6. (We rarely see problems of this nature where the angles are expected to be measured in radians. More often, we see poorly edited questions where angles need to be assumed to be measured in degrees.)

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A chemist has a 30% and a 45% acid solution. What amount of each solution should be used to make 500ml of solution with 35% acid

9966 [12]

Not sure is this is right but if the chemist wants to make the solution 35% acidic then he can use all of the 30% acid and 5% of the 45% acid.

4 0

3 years ago

) Sarah donated one-tenth of her salary to an orphanage, one-third of her salary is spent on food, one-fourth of salary on rent

AleksAgata [21]

Answer:

₹ 4000

Step-by-step explanation:

Sarah's salary =₹ 30000

one-tenth of her salary to an orphanage= 1/10*₹ 30000= ₹ 3000
one-third of her salary is spent on food= 1/3*₹ 30000= ₹ 10000
one-fourth of salary on rent and electricity =1/4*₹ 30000= ₹ 7500
one-twentieth of her salary on the telephone= 1/12*₹ 30000= ₹ 2500
donated some amount to the Prime Minister's relief fund = x
She was left with ₹ 3000.

x= ₹ 30000- (₹ 3000+₹ 10000+₹ 7500+₹ 2500+₹ 3000)= ₹ 4000

8 0

2 years ago

bobby’s christmas list had 3 more than twice as many items on it than johnny’s list. johnny asked for 8 fewer items than bobby.

Nataly [62]

Answer:

<em>Johnny had </em><em>5</em><em> items and Bobby had </em><em>13</em><em> items.</em>

Step-by-step explanation:

Let us assume that Johnny has x items and Bobby has y items in their list.

Bobby had 3 more than twice as many items on it than Johnny. So,

$\Rightarrow y=3+2x$ ----------1

Johnny asked for 8 fewer items than bobby. So,

$\Rightarrow y-8=x$ -----------2

Putting the value of x from equation 2 in equation 1, we get

$\Rightarrow y=3+2(y-8)$

$\Rightarrow y=3+2y-16$

$\Rightarrow 2y-y=16-3$

$\Rightarrow y=13$

Putting the value of y in equation 2,

$\Rightarrow 13-8=x$

$\Rightarrow x=5$

So, Johnny had 5 items and Bobby had 13 items.

3 0

3 years ago

A building has 63 apartments and 70 bathrooms. What is the ratio of apartments to bathrooms in the building?

valina [46]

Answer:

63:70

Step-by-step explanation:

8 0

3 years ago

Simultaneous equations<br> x^2+3xy=10<br> x=2y

satela [25.4K]

9514 1404 393

Answer:

(x, y) = (-2, -1) or (2, 1)

Step-by-step explanation:

Substitute for x in the first equation:

(2y)^2 +3(2y)y = 10

10y^2 = 10

y^2 = 1

y = ±1

x = 2y = ±2

Solutions are (x, y) = (-2, -1) or (2, 1).

8 0

2 years ago