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Afina-wow [57]
3 years ago
5

4 If 2 sin X = 1 (where X is the measure of an acute angle), then X =

Mathematics
1 answer:
Papessa [141]3 years ago
6 0
X = arcsin (1/2) = 30 degrees
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2x+5y=-3<br>3x-y=21<br>help me
arlik [135]
Problem:
Solve
2
x
+
5
y
=
−
3
;
3
x
−
y
=
21
Steps:
I will try to solve your system of equations.
3
x
−
y
=
21
;
2
x
+
5
y
=
−
3
Step: Solve
3
x
−
y
=
21
for y:
3
x
−
y
+
−
3
x
=
21
+
−
3
x
(Add -3x to both sides)
−
y
=
−
3
x
+
21
−
y
−
1
=
−
3
x
+
21
−
1
(Divide both sides by -1)
y
=
3
x
−
21
Step: Substitute
3
x
−
21
for
y
in
2
x
+
5
y
=
−
3
:
2
x
+
5
y
=
−
3
2
x
+
5
(
3
x
−
21
)
=
−
3
17
x
−
105
=
−
3
(Simplify both sides of the equation)
17
x
−
105
+
105
=
−
3
+
105
(Add 105 to both sides)
17
x
=
102
17
x
17
=
102
17
(Divide both sides by 17)
x
=
6
Step: Substitute
6
for
x
in
y
=
3
x
−
21
:
y
=
3
x
−
21
y
=
(
3
)
(
6
)
−
21
y
=
−
3
(Simplify both sides of the equation)
Answer:
y
=
−
3
and
x
=
6

7 0
3 years ago
Find the value of x<br><br>m&lt;2 = 9x - 1​
jasenka [17]

Answer: x=9

Step-by-step explanation:

The bottom triangle that has a 40° is an isosceles triangle, therefore the other angle at the bottom right is also 40°. This leaves the top angle to be 100°.

180=40+40+x

180=80+x

x=100

Now, to find ∠2, you can tell it is a supplementary angle. Therefore, the 2 angles add up to 180°

180-100=∠2

80°=∠2

The problem states that ∠2 is 9x-1. We know that ∠2 is 80°. We can solve for x.

80=9x-1

81=9x

x=9

8 0
2 years ago
to form new numbers, zero is placed in different position from left to right in the number 697 325. Observe the position of zero
lorasvet [3.4K]

Answer:

Hundreds Thousands Place

Step-by-step explanation:

It is the 6th digit, therefore making it the hundreds thousands place...

8 0
1 year ago
The metro theater has 20 rows of seats with 18 seats in each row. Tickets cost $5. The theaters income in dollars if all seats a
jarptica [38.1K]
<span>In a Metro there are:
20 rows of seats
18 seats in a row
and $5 per ticket

Using commutative property of Multiplication:
Therefore.
=> (20 x 18) x 5 = 5 x (18 x 20)
=>  360 x 5 = 5 x 360
=> 1800 = 1800

Therefore, they have $1800 income.</span>



8 0
3 years ago
I need help with 7-12
Anton [14]
7). C

8). 60
n = 5(10) + 10
n = 50 + 10
n = 60

9). 17
f(x) = -2x + 7 plug the -5 in for x
f(x) = -2(-5) + 7
= 10 + 7
= 17

10).
28.50j < 100 > 18.50s
8 0
3 years ago
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