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mamaluj [8]
3 years ago
8

1. 3(5x – 4) – 2 = 10 – 3x​

Mathematics
2 answers:
Ira Lisetskai [31]3 years ago
6 0

Answer:4/3

Step-by-step explanation:

rusak2 [61]3 years ago
5 0

Answer:

x = 3/4 or 0.75

Step-by-step explanation:

Break the bracket out and you will get:

3(5x – 4) – 2 = 10 – 3x​

= 3*5x - 3*4 - 2 = 10 - 3x

= 15x - 12 -2 = 10 -3x

Add 3x into both sides and subtract 12 and subtract 2 in both sides, we get:

15x + 3x - 12 - 2 + 12 - 2 = 10 - 3x + 3x + 12 + 2

18x = 24

Divide both side by 18, we get:

18x/18 = 24/18

x = 24/18 = 3/4 or 0.75

Hope this helped :3

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FCDEF is congruent to MNPQ, then angle P is congruent to
SpyIntel [72]

Answer:

The angles of both figures are listed in the same order. The first angle of the first one is congruent to the first angle of the second, and the second angle of the first one is congruent to the second angle of the second figure, and so on.

Step-by-step explanation:

You have a repeated 'F' in naming the first figure, so I think you made an error. But the rule in my answer is true and you can apply it.

7 0
3 years ago
Choose the rule to describe the transformation:
butalik [34]
<h3><u>We are given:</u></h3>

The initial points:             T(2 , 3)      U(5, 4)       V(2, 0)

The transformed points: T'(-1, 2)       U'(2,3)          V'(-1, -1)

<h3><u>Identifying the Transformation rule:</u></h3>

Since all these points will follow the same rule, we will take a pair of initial and transformed points and compare them

T(2, 3) → T'(-1, 2)

We can see that these points are not reflected across the y-axis

<u>Checking if they have a dilation of 0.25 about the origin:</u>

Dilation of 0.25 about the origin basically means if the Initial x and y coordinates are multiplied by 0.25 to form the transformed points

So, if the points have a dilation of 0.25:

x (initial) * 0.25 = x(final)

2*0.25 = -1

0.5 ≠ -1

Hence, there is no dilution of 0.25

<u>Checking if the given points are translated:</u>

To check this, we will take 2 pairs of initial and transformed points

T(2,3) →  T'(-1,2)

U(5,4) → U'(2,3)

To check if there is transformation, we need to check if the difference between the x and y coordinates of initial and transformed points is equal

<u>Change in coordinates of T:</u>

x-coordinates:

x(final) - x(initial) = x(change)

x(change) = -1 - (2)

x(change) = -3

y-coordinates:

y(change) = y(final) - y(initial)

y(change) = 2 - (3)

y(change) = -1

<u>Change in coordinates of U:</u>

x-coordinates:

x(change) = x(final) - x(initial)

x(change) = 2 - 5

x(change) = -3

y-coordinates:

y(change) = y(final) - y(initial)

y(change) = 3 - 4

y(change) = -1

Since there is the same change in x and y coordinates of the initial and transformed points, we know that Translation took place

Since the change in x is -3 and the change in y is -1, the translation will look like:

(x-3 , y-1)

Which is also option d.

Hence, option d is the correct answer

3 0
3 years ago
A 51-foot wire running from the top of a tent pole to the ground makes an angle of 58° with the ground. If the length of the ten
AfilCa [17]

Answer:

<em>35.11 ft</em>

<em></em>

Step-by-step explanation:

This given situation can be thought of as triangle \triangle PQR where PQ is the length of pole.

PR is the length of rope.

and QR is the distance of bottom of pole to the point of fastening of rope to the ground.

And \angle Q \neq 90^\circ

Given that:

PQ = 44 ft

PR = 51 ft

\angle R = 58^\circ

To find:

Side QR = ?

Solution:

We can apply Sine Rule here to find the unknown side.

Sine Rule:

\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}

Where  

a is the side opposite to \angle A

b is the side opposite to \angle B

c is the side opposite to \angle C

\dfrac{PR}{sinQ}=\dfrac{PQ}{sinR}\\\Rightarrow sin Q =\dfrac{PR}{PQ}\times sinR\\\Rightarrow sin Q =\dfrac{51}{44}\times sin58^\circ\\\Rightarrow \angle Q =79.41^\circ

Now,

\angle P +\angle Q +\angle R =180^\circ\\\Rightarrow \angle P +58^\circ+79.41^\circ=180^\circ\\\Rightarrow \angle P = 42.59^\circ

Let us use the Sine rule again:

\dfrac{QR}{sinP}=\dfrac{PQ}{sinR}\\\Rightarrow QR =\dfrac{sinP}{sinR}\times PQ\\\Rightarrow QR =\dfrac{sin42.59}{sin58}\times 44\\\Rightarrow QR = 35.11\ ft

So, the answer is <em>35.11 ft</em>.

3 0
3 years ago
Mrs.Lorentz bought 12 pounds 8 ounces of flour. This is 1/4 of the flour she will use to make sugar cookies in her bakery this w
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Answer:

153 batches

Step-by-step explanation:

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3 years ago
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Answer:

she gave out 720 inches of string which is 20 yards so she has 30 yards left on the spool

Step-by-step explanation:

Hope it helped :)

3 0
2 years ago
Read 2 more answers
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