All categories

2 years ago

ABCD is a rectangle. Find the measure of angle CBD.

Mathematics

1 answer:

PIT_PIT [208]2 years ago

6 0

Answer:

60 degrees

Step-by-step explanation:

BWA is an isosceles triangle, meaning that BW and WA are equal in length.

Thus, we have that ABW and WAB are congruent to each other.

ABC is a complementary angle, so ABW and CBD add up to 90 degrees.

ABW is 30 degrees, so we have 30 degrees+ CBD=90 degrees.

Subtracting thirty degrees from both sides we get CBD=60 degrees.

Hope this helps!

You might be interested in

4-30. Micron Technology has sales offices located in four

ivanzaharov [21]

Answer:

An invoice was paid an average of 20 days after it was received.

Mean =

Standard deviation =

Now we are supposed to find what percent of the invoices were paid within 15 days of receipt i.e.P(x<15)

Formula :

At x = 15

Substitute the values

Refer the z table for p value

So, p value = 0.1587

So, 15.87% of the invoices were paid within 15 days of receipt

Step-by-step explanation:

6 0

2 years ago

What is yhe answer?????

myrzilka [38]

161%

Step-by-step explanation:

They are asking percentage so we know we going to ×100%

4943 AS A PERCENTAGE OF 3076

$\frac{4943}{3076} \times 100$

161%

8 0

2 years ago

The center of a circle lies on the line y = 4x + 1 and is tangent to the x-axis at (−3,0) . What is the equation of the circle i

Hunter-Best [27]

Answer:

$(x+3)^2+(y+11)^2=121$

Step-by-step explanation:

Consider a sketch of the problem as shown in the picture, where:

Blue line is given by y = 4x + 1.
Point B is the center of the circle.
Point A is (-3, 0).

Since the center of the circle lies on the line y = 4x +1 and is tangent to the x-axis at point A, then its radius BA is perpendicular to the x-axis. To find the coordinates of point B, we must replace x = -3 into the blue line equation: y = 4x(-3) + 1 = -11.

So, we know that the center of the circle is at B=(-3, -11). And furthermore, the radius BA is of length r=11.

Since the general equation of the circle of radius lenght r centered at (h, k) is given by

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

then with h = -3, k = -11 and r= 11, the equation of our circle is

$(x+3)^2+(y+11)^2=121$

5 0

2 years ago

Simplify √12m • √15m = [1] m √[2]

Elodia [21]

Answer:

6m√5

Step-by-step explanation:

√(12m)·√(15m) = √(180m²) = √(5·(36m²)) = √5·√(6m)²

= 6m√5 . . . . . . for m ≥ 0

8 0

3 years ago

(5 •10^16) • (2.8 • 10^-7)

Gelneren [198K]

That's 7/3 =2.3333333

7 0

2 years ago