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3 years ago

Given that ABCD is a rhombus, what is the value of x?

Mathematics

1 answer:

Kruka [31]3 years ago

3 0

Answer:

D. 18

Step-by-step explanation:

∠DAC ≅ ∠BCA and the diagonals cross at right angles, so the two marked angles are complementary.

(5x -18) +x = 90

6x = 108 . . . . . . . . . simplify, add 18

x = 18 . . . . . . . . . . . divide by 6

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I need Help!! Please Help me!! I will give Brainliest!!!

IrinaK [193]

Answer:

1. 150% 2. 14%

Step-by-step explanation:

4 0

3 years ago

a) find center of mass of a solid of constant density bounded below by the paraboloid z=x^2+y^2 and above by the plane z=4.(b) F

slava [35]

Answer: x-bar = y-bar = 0 whereas z-bar = 8/3

M= (c^2)/8 which is intern equal to 2 $\sqrt{2}$

Step-by-step explanation:

Find the area, by setting the limits as

= $4\cdot \int _0^{\frac{\pi }{2}}\int _0^2\int _{r^2}^4\:rdzdrd\theta$

$=4\cdot \int _0^{\frac{\pi }{2}}\int _0^2r\cdot \:4-r^3drd\theta$

$=4\cdot \int _0^{\frac{\pi }{2}}4d\theta$

$=8\pi$

Therefore;

Mxy= $\int _0^{2\pi }\int _0^2\int _{r^2}^4\:zrdzdrd\theta$

z-bar = 8/3

M= 8 $\pi$ dividing it into two volume gives us = 4 $\pi$

means $4\pi =\int _0^{2\pi }\int _0^{\sqrt{c}}\int _r^c\:rdzdrd\theta$

$4\pi =\left(\pi c^2-2\pi \frac{c^{\frac{3}{2}}}{3}\right)$

c=2 $\sqrt{2}$

5 0

3 years ago

A bag initially contains red marbles and blue marbles only, with more blue than red. Red marbles are added to the bag until only

STALIN [3.7K]

<h3>What is a fraction?</h3>

A fraction is a portion of a whole or, more broadly, any number of equal parts.
In everyday English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters.
A common, vulgar, or simple fraction that consists of a numerator above a line and a non-zero denominator below that line.
Numerators and denominators are also employed in uncommon fractions such as compound fractions, complex fractions, and mixed numerals.

To find what fraction of the marbles now in the bag is blue:

Important information is that immediately before the last step blue marbles formed $\frac{1}{5}$ from the marble in the bag.
That means that there were $x$ blue and $4x$ other marbles, for some $x$ .
When we double the number of blue marbles, there will be $2x$ blue and $4x$ other marbles.
Hence, blue marbles now form $\frac{1}{3}$ all marbles in the bag.

Therefore, (C) $\frac{1}{3}$ fraction of the marbles now in the bag is blue.

Know more about fractions here:

brainly.com/question/17220365

SPJ4

Complete question:

A bag initially contains red marbles and blue marbles only, with more blue than red. Red marbles are added to the bag until only 1 / 3 of the marbles in the bag are blue. Then yellow marbles are added to the bag until only 1 / 5 of the marbles in the bag are blue. Finally, the number of blue marbles in the bag is doubled. What fraction of the marbles now in the bag are blue?

(A) 1/5

(B) 1/4

(D) 2/5

(E) 1/2

7 0

2 years ago

The cost to mail a package is $7 for the first 2 pounds and 30 cents for each additional ounce. Which of the following functions

TiliK225 [7]

The cost to mail a 2-lb package is $7.
The cost to mail a 2-lb, 1 oz package is $7+$0.30(1).
That to mail a 2-lb, 2 oz package is $7+$0.30(2) = $7.60.

Following this pattern, the general formula is f(x) = $7 + $0.30x, where x represents the number of ounces OVER 2 lb.

5 0

3 years ago

John is living in New York, where the state sales tax is 8%. The total cost of his purchase was $50.00. What was the original pr

bogdanovich [222]

Let p be the pre-tax cost. Then 1.08p = $50. Solving for p, the pre-tax cost, we get:

p = ($50) / (1.08) = $46.30.

6 0

3 years ago