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3 years ago

Given ABCD, solve for x.

Mathematics

2 answers:

Fynjy0 [20]3 years ago

5 0

X value is 9 degree.

s344n2d4d5 [400]3 years ago

5 0

Answer:

x=9

Step-by-step explanation:

Given is a parallelogram ABCD

AB and CD are parallel sides and also BC with AD

Since AB and CD are parallel we have

angle A + angle D =180

Angle A = 30+5x and angle B =15+10x

Sum = 30+5x+15+10x = 180

Simplify to get

45+15x =180

Subtract 45

15x = 180-45 =135

Divide by 15

x=9

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The graph of a function f is shown below. Find f (2) and find one value of x for which f(x) = -4

nadya68 [22]

Answer: a: -2, b: 0

Step-by-step explanation:

f(2) means that x=2, and we need to solve for y.

On the graph, it has a point of (2, -2) and since it's a function that is the only possible output. Therefore, f(2)=-2.

f(x)=-4 means that y=-4, and we need to solve for x.

On the graph, the point (0,-4) exists, and since the function contains only one output, it must be correct. Therefore, x=0.

5 0

3 years ago

to arrive at 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution. How many liters of eac

CaHeK987 [17]

Answer:

800 liters of 90% saline solution and 1200 liters of 40% saline solution should be used.

Step-by-step explanation:

Given:

At 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution.

Now, to find the number of liters of saline solution each should be used.

Let the liters of 90% saline solution mix be $x.$

And let the liters of 40% saline solution mix be $y.$

So, the total number of liters:

$x+y=2000.$

$y=2000-x\ \ \ ....(1)$

Now, the total percentage of saline solution:

$90\%\ of\ x+40\%\ of\ y=60\%\ of\ 2000$

$\frac{90}{100}\times x+\frac{40}{100}\times y=\frac{60}{100}\times 2000$

$0.9x+0.4y=1200$

Substituting the value of $y$ from equation (1) we get:

$0.9x+0.4(2000-x)=1200$

$0.9x+800-0.4x=1200$

$0.5x+800=1200$

Subtracting both sides by 800 we get:

$0.5x=400$

Dividing both sides by 0.5 we get:

$x=800.$

The liters of 90% saline solution mix = 800.

Now, substituting the value of $x$ in equation (1) to get the liters of 40% saline solution:

$y=2000-x$

$y=2000-800$

$y=1200.$

Thus, the liters of 40% saline solution = 1200.

Therefore, 800 liters of 90% saline solution and 1200 liters of 40% saline solution should be used.

8 0

4 years ago

<img src="https://tex.z-dn.net/?f=%20%5Chuge%7B%5Cgreen%7D%5Cfcolorbox%7Bblue%7D%7Bcyan%7D%7B%5Cbf%7B%5Cunderline%7B%5Cred%7B%5C

MariettaO [177]

$\qquad\qquad\huge\underline{{\sf Answer}}$

Let's find out the gradient (Slope " m ") of line q ;

$\qquad \sf \dashrightarrow \:m = \dfrac{y_2 - y_1}{x_2 - x_1}$

$\qquad \sf \dashrightarrow \:m = \dfrac{4 - 0}{0 - 1}$

$\qquad \sf \dashrightarrow \:m = - 4$

Now, since we already know the gradient let's find of the equation of line by using its Slope and one of the points using point slope form of line :

$\qquad \sf \dashrightarrow \:y - 4 = m(x - 0)$

$\qquad \sf \dashrightarrow \:y = mx + 4$

Now, plug in the value of gradient ~

$\qquad \sf \dashrightarrow \:y = - 4x + 4$

here we can clearly observe that, the Area under the curve can easily be represented as :

$\qquad \sf \dashrightarrow \:y < - 4x + 4$

Since, all the values of y that lies in the shaded region is smaller than the actual value of y for the corresponding values of x in the equation of line q

5 0

2 years ago

A light bulb consumes 3600 watt-hours in 3 days and 18 hours. How many watt-hours does it consume per day?

Tasya [4]

18 hours = 18/24 reduces to 3/4 of a day

3/4 = 0.75

so 3600/3.75 = 960 watts per day

3 0

3 years ago

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Use the balanced scale to find the conversion factor that can be used to convert the number of blocks to the weight of the block

marusya05 [52]

Answer:

the answer is 24 lb

i think

Stepkby-step explanation:

it is 24 because it is 6 1lb blocks x 4 will give you 24

4 0

3 years ago

Read 2 more answers