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2 years ago

The options are 40 80 120 140

Mathematics

1 answer:

Nataly [62]2 years ago

4 0

According to given figure,

$\qquad \sf \dashrightarrow \: \angle ABC + 60° = 180°$

$\qquad \sf \dashrightarrow \: \angle ABC = 180 \degree - 60 \degree$

[ By linear pair ]

$\qquad \sf \dashrightarrow \: \angle ABC = 120 \degree$

now, we can see that :

$\qquad \sf \dashrightarrow \: \angle ABC + \angle BAC = \angle 1$

[ By Exterior angle property of Triangle ]

$\qquad \sf \dashrightarrow \: \angle 1 = 20 \degree + 120 \degree$

$\qquad \sf \dashrightarrow \: \angle 1 = 140 \degree$

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Which ordered pair (x, y) is a solution to given system of linear equations?

patriot [66]

Answer:

$(\frac{1}{6}, \frac{1}{2})$ or $(0.167,0.5)$

Step-by-step explanation:

Given

$3x + y =1$

$15x + y = 3$

Required

Determine the solution

We'll solve using elimination method.

Subtract the first equation from the second:

$15x + y = 3$

$3x + y =1$

$--------$

$15x - 3x + y - y = 3 - 1$

$15x - 3x = 3 - 1$

$12x = 2$

Make x the subject:

$x = \frac{2}{12}$

$x = \frac{1}{6}$

$x =0.167$

Substitute $\frac{1}{6}$ for x in the first equation

$3x + y =1$

$3(\frac{1}{6}) + y = 1$

$\frac{1}{2} + y = 1$

Make y the subject

$y = 1 -\frac{1}{2}$

$y = \frac{2-1}{2}$

$y = \frac{1}{2}$

$y = 0.5$

Hence, the solution is:

$(\frac{1}{6}, \frac{1}{2})$ or $(0.167,0.5)$

8 0

2 years ago

The highest point on earth is the top of Mount Everest. It is 29,035 feet above sea level. The lowest exposed land is the shore

oksano4ka [1.4K]

Answer:

Boi

Step-by-step explanation:

B+oI=j

8 0

3 years ago

Vance used the associative property to write (4.5m+7/8)-9 as the equivalent expression 4.5(7/8-9). Did Vance apply the associati

baherus [9]

Answer: the fourth choice: <span>No, the addition symbol was dropped in the second expression

Justification:

1) The right operation is: </span><span>(4.5m + 7/8) - 9 </span><span>= 4.5m + (7/8 - 9), this is you have to keep the + operator, since you are just grouping the terms in an alternate form.

2) Droping the + operator leads incorrectly to the multiplication of the first term, 4.5m to the terms in parenthesis, instead to the addition, which is what corresponds.

</span>

4 0

3 years ago

Read 2 more answers

How do you solve this?

LekaFEV [45]

This is backward dude

7 0

3 years ago

Approximately how much more quickly (in mph) does a pilot traveling 400 mph and rising at an angle of 30o gain altitude versus a

REY [17]

We can find the height of the altitude by the ratio of sin. See my attachment.
sin of angle = side in front of the angle / hypotenuse
sin x = height/distance

If the two pilot is rising in an hour, then the first distance is 400 miles, the second distance is 300 miles.

Find the height of first pilot
height/distance = sin x
height/400 = sin 30°
height = sin 30° × 400
height = 1/2 × 400
height = 200

Find the height of second pilot
height/distance = sin x
height/300 = sin 40°
height = sin 40° × 300
height = 0.642 × 300
height = 192

So the first pilot traveling 400 mph with 30° is more quickly to reach high altitude than the second pilot traveling 300 mph with 40°

3 0

3 years ago