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3 years ago

Determine the value of x

Mathematics

1 answer:

maxonik [38]3 years ago

7 0

Answer:

$6\sqrt{3}$

Step-by-step explanation:

using the sine rule,

$\frac{sin 60}{x} = \frac{sin 30}{6} \\x=\frac{sin60 * 6 }{sin30} \\x=6\sqrt{3}$

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If 10 oranges cost 2.00 and 8 oranges cost 1.20 which is the better deal

s344n2d4d5 [400]

Answer:

10 oranges

Step-by-step explanation:

7 0

3 years ago

Given: ∆ABC ≅ ∆DEF<br> Find: AB and m∠F

Sindrei [870]

AB = 14

m∠F = 39°

Well the explanation here is simple.

Since the given states that the two triangles, ΔABC and ΔDEF, are congruent, they must have congruent/corresponding parts.

So AB is the same as DE which measures 14, so therefore AB must measure 14.

The same explanation goes to m∠F, ∠C is congruent to ∠F so it must measure 39° too.

3 0

3 years ago

Explain how to model the division of –24 by –4 on a number line.

lianna [129]

Answer:

Here's one way to do it.

Step-by-step explanation:

-24 ÷ (-4)

-24 is the final number on the number line

-4 means you count by 4s on the number line moving backwards.

Start at 0 facing forward.
Move backwards in steps of four units from 0 to -24.
Count the number of steps you took (six).

Answer: +6 (The sign is + because you are still facing forward).

8 0

3 years ago

Slope of a parallel line with the points (7,-5) and (-5,7)

VLD [36.1K]

Answer: Negative 1 The slope of parallel lines is the same.

The attachment shows two such lines, given coordinates labeled.

Step-by-step explanation:

Find the slope of the line passing through the given points.

rise/run

Rise is the difference in y-values 7-(-5) = 12

Run is the difference between x-values -5 - 7 = - 12

The Slope is 12/-12 simplify:

slope = -1

5 0

3 years ago

a fruit delivers its fruit in two types of boxes: large and small. a delivery of 3 large boxes and 5 small boxes has a total wei

Masteriza [31]

Answer:

The weight of a small box = 13.5 kg

The weight of 1 large box = 18.5 kg

Step-by-step explanation:

Let us assume the weight of a small box = m kg

And the weight of 1 large box = n kg

Now, the weight of 5 small box = 5 x (weight of 1 small box) = 5 m

Also, the weight of 3 large box = 3 x (weight of 1 large box) = 3 n

Here, 3 large boxes + 5 small boxes = of 123 kilograms

⇒ 5 m + 3 n = 123 .... (1)

Again, the weight of 2 small box = 2 x (weight of 1 small box) = 2 m

Also, the weight of 12 large box = 12 x (weight of 1 large box) = 12 n

Here, 12 large boxes + 2 small boxes = 249 kilograms

⇒ 2 m+ 12 n = 249 .... (2)

Now, solving both the given equations by ELIMINATION, we get:

5 m + 3 n = 123 x (2)

2 m+ 12 n = 249 x (-5)

we get the new set of equitation as:

10 m + 6 n = 246

- 10 m - 60 n = -1245

Adding both equation, we get

-54 n = 999

or, n = 18.5

Now, 5 m + 3 n = 123

So, 5 m = 123 -3 (18.5) = 123 - 55.5 = 67.5

⇒ m = 13.5

Hence, the weight of a small box = m kg = 13.5 kg

And the weight of 1 large box = n kg = 18.5 kg

8 0

3 years ago