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3 years ago

Find the value of x. х= 2 х= 3 х= 33 х= 52

Mathematics

1 answer:

nlexa [21]3 years ago

6 0

Answer:

x = 3

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles

∠ QRT is an external angle, thus

∠ QRT = ∠ RTS + ∠ RST, substitute values

45x = 25x + 57 + x

45x = 26x + 57 ( subtract 26x from both sides )

19x = 57 ( divide both sides by 19 )

x = 3

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If Quadrilateral Q is a scaled copy of Quadrilateral P created with a scale factor of 3

Stolb23 [73]

I don't see a drawing of the quadrilaterals, so I don't know what the perimeter of quadrilateral P is. But whatever the perimeter of P is, Q will be 1/3 of that. Perimeter is a length, so even though it may pertain to a 2-dimensional object, it is still a 1-dimensional, linear measure. When two objects are similar (same shape, but scaled up or down by a scale factor), all corresponding linear measures have the same scale factor.

If you were asked about area or volume, that would be a different matter. In the case of area, you would square the scale factor, and in the case of volume, you would cube the scale factor.

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3 years ago

7. A bag of M&Ms contains the following distribution of colors:

lys-0071 [83]

Answer:

a) 21/1240 = 0.017

b) 9/1240 = 7.26*10^-3

c) 3/2480 = 1.21*10^-3

Step-by-step explanation:

There are total 32 M&Ms in the bag

a) Probability that all three are blue M&Ms (without replacement)

(9/32)*(8*31)*(7/30) = 21/1240 = 0.017

b) Probability that the first one selected is blue, the second one selected is orange, and the third one selected is red

(9/32)*(6/31)*(4/30) = 9/1240 = 7.26*10^-3

c) Probability that the first two selected are red, and the third one selected is yellow

(4/32)*(3/31)*(3/30) = 3/2480 = 1.21*10^-3

3 0

3 years ago

Write the equation in standard form 3x + 1 = 2y

yulyashka [42]

The standard form of an equation is
$ax + by = c$

In the question, we have the following formula
$3x + 1 = 2y$

To get the formula in standard form, we first have to subtract 2y from both sides (since we need to get 2y on the left side)
$3x - 2y + 1 = 0$

Finally we subtract 1 from both sides (since we need the number on the right side)
$3x - 2y = - 1$

Hence, 4. is the correct answer.

8 0

3 years ago

Find the value of X. Round the length to the nearest tenth.

Nataliya [291]

Answer:

5.5 yd

Step-by-step explanation:

The angle opposite to x is 20°

Reason: Alternate interior angles are equal

$\frac{x}{15}$ = tan 20°

x = 15 × tan 20° = 5.459553514 yd

That is 5.5 yd (answer rounded off to nearest tenth).

3 0

3 years ago

Read 2 more answers

For Xavier's lemonade recipe, 6 lemons are required to make 4 cups of lemonade. At what rate are lemons being used in cups of le

dusya [7]

Answer:

Since 6 lemons are used to make 4 cups of lemonade, then are used $\frac{6}{4} =\frac{3}{2}$ of lemon per cup of lemonade, or are make $\frac{4}{6}=\frac{2}{3}$ cups of lemonade per lemon.

7 0

3 years ago