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3 years ago

If angle A B C is congruent to angle C B D, find x.

Mathematics

1 answer:

Svetlanka [38]3 years ago

6 0

4 x + 30 = 5x + 20
-5x -5x

-x + 30 = 20
-30 -30

- x = -10

x = 10

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What is the probability that a randomly selected house with 2 bathrooms has 3 bedrooms?

coldgirl [10]

From the table there is 24 houses with 2 bathrooms and 3 bedrooms

there is a total of 30 houses with 2 bathrooms

the probability is 24 /30 = 0.8

7 0

3 years ago

Read 2 more answers

addison and kelsey are running on a path modeled by x^2+y^2-10x-18y-378=0, where the distance is in meters. what is the maximum

bulgar [2K]

The maximum distance is the diameter of the circle, which is of 44 units.

The equation of a circle of radius r and center $(x_0,y_0)$ is given by:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

The diameter is twice the radius, and is the maximum distance between two points inside a circle.

In this problem, the circular path is modeled by:

$x^2 + y^2 - 10x - 18y - 378 = 0$

We complete the squares to place it in the standard format, thus:

$x^2 - 10x + y^2 - 18y = 378$

$(x - 5)^2 + (y - 9)^2 = 378 + 25 + 81$

$(x - 5)^2 + (y - 9)^2 = 484$

Thus, the radius is:

$r^2 = 484 \rightarrow r = \sqrt{484} = 22$

Then, the diameter is:

$d = 2r = 2(22) = 44$

The maximum distance is the diameter of the circle, which is of 44 units.

A similar problem is given at brainly.com/question/24992361

7 0

2 years ago

Which integer is the smallest? A. -84 B. -4 OC. 34 OD. 24 Advanced Placement, AP AP Central", College Board", and SAT are tradem

kipiarov [429]

Answer: B -4

Step-by-step explanation: I think it is B because -4 is smaller than A,C and D.

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1 year ago

10x+20=7x-8 Solve for x.

Kazeer [188]

Step-by-step explanation:

Isolate the variable

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x = -9.333333333333

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3 years ago

Find the volume of the cone show below:

antiseptic1488 [7]

Formula for the volume not a cone=πr2H. π=3.14. R=12×2=24. H=16. 3.14×24=75.36. 75.36×16=1205.76. ANSWER: 1205.76

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3 years ago