All categories

4 years ago

∠1 and ∠2 are complementary.

2 answers:

7 0

Since complementary angles add to 90° we can write the equation:
x+3x+30=90

The solve for x

4x+30=90 (combine like terms)
4x=60 (subtract 30 from both sides)
x=15 (divide both sides by 4)

Hope this helps!

Allisa [31]4 years ago

6 0

Answer:

The value of x is $15\°$

Step-by-step explanation:

we know that

If two angles are complementary, then its sum is equal to $90\°$

In this problem we have that

$m$ ------> equation A

we have

$m$

Substitute the values of m<1 and m<2 in the equation A and solve for x

$x\°+(3x+30)\°=90\°$

$4x=90\°-30\°$

$4x=60\°$

$x=60\°/4=15\°$

You might be interested in

Solve for x. Round your answer to 2 decimal places.

babymother [125]

Using the law of cosine:

Cosine(angle) = Adjacent leg / Hypotenuse

You are given the angle, and the adjacent leg and need to solve for X, which is the hypotenuse.

Using the formula above you have:

Cosine(58) = 17 / x

Solve for x by dividing 17 by cos(58)

x = 17 / cos(58)

x = 32.08

7 0

3 years ago

=−2x^2 +8 +3<br> write in vertex form

Oxana [17]

Answer:

$y=-(x+0)^2+11$

8 0

3 years ago

Please help !!! brainliest will be given

sattari [20]

Answer:

6 is the domain because it is always the x value while range is the y value.

7 0

3 years ago

Read 2 more answers

Which equation represents a circle that contains the point (-5, 3) and has a center at (-2, 1)? Distance formula: vaa -02 (x - 1

natali 33 [55]

Given:

The center of the circle = (-2,1).

Circle passes through the point (-5,3).

To find:

The equation of the circle.

Solution:

Radius is the distance between the center of the circle and any point on the circle. So, radius of the circle is the distance between the points (-2,1) and (-5,3).

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$r=\sqrt{(-5-(-2))^2+(3-1)^2}$

$r=\sqrt{(-5+2)^2+(2)^2}$

$r=\sqrt{(-3)^2+(2)^2}$

On further simplification, we get

$r=\sqrt{9+4}$

$r=\sqrt{13}$

The standard form of a circle is:

$(x-h)^2+(y-k)^2=r^2$

Where, (h,k) is the center of the circle and r is the radius of the circle.

Substitute h=-2, k=1 and $r=\sqrt{13}$ .

$(x-(-2))^2+(y-1)^2=(\sqrt{13})^2$

$(x+2)^2+(y-1)^2=13$

Therefore, the equation of the circle is $(x+2)^2+(y-1)^2=13$ .

8 0

3 years ago

A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a function of time, in seconds, i

attashe74 [19]

The ball takes approximately a time of 2.041 seconds to reach its maximum height.

<h3>What time does the ball take to reach maximum height?</h3>

The height of the ball as a function of time is modelled by a <em>quadratic</em> equation, the required information can be found by transforming the expression into <em>vertex</em> form:

h = - 4.9 · t² + 20 · t + 12

h = - 4.9 · (t² - 4.082 · t - 2.449)

h + (- 4.9) · (6.615) = - 4.9 · (t² - 4.082 · t + 4.166)

h - 32.414 = - 4.9 · (t - 2.041)²

The ball takes approximately a time of 2.041 seconds to reach its maximum height.

To learn more on quadratic equations: brainly.com/question/1863222

#SPJ1

5 0

2 years ago

∠1 ​ and ∠2 are complementary.

∠1 and ∠2 are complementary.