All categories

3 years ago

In square ABCD, diagonal DB is drawn. If the m

Mathematics

1 answer:

pshichka [43]3 years ago

6 0

9514 1404 393

Answer:

x = 11

Step-by-step explanation:

The diagonal creates two isosceles right triangles, so ...

m∠CBD = 45°

3x +12 = 45

3x = 33 . . . . . . subtract 12

x = 11 . . . . . . . . divide by 3

You might be interested in

The components of vector are ax and ay (both positive), and the angle that it makes with respect to the positive x axis is θ. Fi

Andru [333]

we can use formula

$\theta=tan^{-1}(\frac{a_y}{a_x})$

(a)

we are given

$a_x=12,a_y=12$

now, we can plug values

$\theta=tan^{-1}(\frac{12}{12})$

$\theta=tan^{-1}(1)$

$\theta=\frac{\pi}{4}rad$

(b)

we are given

$a_x=20,a_y=12$

now, we can plug values

$\theta=tan^{-1}(\frac{12}{20})$

$\theta=tan^{-1}(\frac{3}{5})$

$\theta=30.96^{\circ \:}$

(c)

we are given

$a_x=12,a_y=20$

now, we can plug values

$\theta=tan^{-1}(\frac{20}{12})$

$\theta=tan^{-1}(\frac{5}{3})$

$\theta=59.03^{\circ \:}$

6 0

3 years ago

Using technology or other resources, research the average distance that each planet is from the sun (in kilometers). Once you ha

alexira [117]

Answer:

Planet Distance from Sun (in Km) Distance in scientific notation

Mercury 57,909,000 Km 5.7909 X 10^3

Earth 150.33 Million Km 1.50.33 X 10^6

Mars 2.10.06 Million Km 2.1006 X 10^6

Jupiter 768.26 Million Km 7.6826 X 10^6

Neptune 4.4763 Billion Km 4.4763 X 10^9

Uranus 2.5957 Billion Km 2.5957 X 10^9

Saturn 1.4936 Billion Km 1.4936 X 10^9

Venus 107.95 Million Km 1.0795 X 10^6

Step-by-step explanation:

4 0

3 years ago

List all angles that are congruent to angle 1.

Tasya [4]

1, 3, 5, 7. 1 and 3 they are vertical meaning they are congruent. 3 and 5 are alternate interior angles meaning they are congruent. 7 and 5 are vertical so they are congruent.

8 0

4 years ago

What is the area of the figure 4 m 2 m 8 m 4 m

grigory [225]

Answer:

40m^2 based on what you've given. provide more information if this answer is wrong

3 0

3 years ago

SOMEONE PLEASE HELP MEEEEE3

Darina [25.2K]

The answer is (3,4)

3 0

3 years ago