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Fed [463]
3 years ago
8

7(3d + 12) if d=4 I don't know the answer please help.

Mathematics
1 answer:
Anastaziya [24]3 years ago
8 0

Answer:

Its 21+84

Step-by-step explanation:

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Kryger [21]

Answer:

1)

Given the triangle RST with Coordinates  R(2,1), S(2, -2) and T(-1 , -2).

A dilation is a transformation which produces an image that is the same shape as original one, but is different size.  

Since, the scale factor \frac{5}{3} is greater than 1, the image is enlargement or a stretch.  

Now, draw the dilation image of the triangle RST with center (2,-2) and scale factor \frac{5}{3}

Since, the center of dilation at S(2,-2) is not at the origin, so the point S and its image S{}' are same.

Now, the distances from the center of the dilation at point S to the other points R and T.  

The dilation image will be\frac{5}{3} of each of these distances,

SR=3, so S{}'R{}'=5 ;


ST=3, so S{}'T{}'=5  

Now, draw the image of RST i.e R'S'T'

Since, RT=3\sqrt{2} [By using hypotenuse of right angle triangle] and R{}'T{}'=5\sqrt{2}.


2)

(a)

Disagree with the given statement.

Side Angle Side postulate (SAS) states that:

If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle then these two triangles are congruent.

Given: B is the midpoint of \overline{AC} i.e \overline{AB}\cong \overline{BC}

In the triangle ABD and triangle CBD, we have

\overline{AB}\cong \overline{BC}   (SIDE)            [Given]

\overline{BD}\cong \overline{BD}   (SIDE)            [Reflexive post]

Since, there is no included angle in these triangles.

∴ \Delta ABD is not congruent to \Delta CBD .

Therefore, these triangles does not follow the SAS congruence postulates.

(b)

SSS(SIDE-SIDE-SIDE) states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

Since it is also given that  \overline{AD}\cong \overline{CD}.

therefore, in the triangle ABD and triangle CBD, we have

\overline{AB}\cong \overline{BC}   (SIDE)            [Given]

\overline{AD}\cong \overline{CD}   (SIDE)           [Given]

\overline{BD}\cong \overline{BD}   (SIDE)            [Reflexive post]

therefore by, SSS postulates \Delta ABD\cong \Delta CBD.

3)

Given that:  \angle1=\angle 3 are vertical angles, as they are formed by intersecting lines.

Therefore

, by the definition of linear pairs

\angle 1 and \angle 2 and \angle 3  and \angle 2 are linear pair.

By linear pair theorem, \angle 1 and \angle 2   are supplementary, \angle 2 and \angle 3  are supplementary.

m\angle1+m\angle 2=180^{\circ}

m\angle2+m\angle 3=180^{\circ}

Equate the above expressions:

m\angle 1+m\angle 2=m\angle 2+m\angle 3

Subtract the angle 2 from both sides in the above expressions

∴m\angle 1=m\angle 3

By Congruent Supplement theorem: If two angles are supplements of the same angle, then the two angles are congruent.


therefore, \angle 1\cong \angle 3.















3 0
3 years ago
Read 2 more answers
CO 5<br> What is the value of tan(60°)?<br> A<br> O<br> 12<br> 30°<br> 3<br> B<br> 60°<br> 6
lukranit [14]

Answer:

<em>√3</em>

Step-by-step explanation:

5 0
2 years ago
pamela claims that if you multiply a fraction that is negative by another fraction that is negative, the product will also be ne
svetoff [14.1K]
Pamela is incorrect. When you multiply anything negative by a negative, the product will always be a positive. Because the two negative signs cancel each other out.
5 0
3 years ago
Oil prices are projected to increase by 50% by next March. A quart of oil currently costs $1.85. What is the projected cost of a
Zolol [24]

Answer:

$11.10 per gallon.

Step-by-step explanation:

There are 4 quarts in a gallon so the cost of a gallon of oil currently is 1.85×4=$7.40

If the gallon price of oil goes up 50% then our answer is: 7.40×\frac{3}{2}=\frac{22.2}{2}=11.1

The price of oil in March will be $11.10 per gallon.

6 0
3 years ago
Zoe has a board 5 1/4 long. she cut off a piece. now the board is 3 5/6 feet long. how long was the piece she cut off
KatRina [158]
The piece Zoe cut off would be 1 and 5/12 ft long.
5 and 1/4 - 3 and 5/6
The least common denominator is 24.
5 and 6/24 - 3 and 20/24
5 and 6/24 becomes 4 and 30/24
4 and 30/24 - 3 and 20/24 = 1 and 10/24
1 and 10/24 can be simplified to 1 and 5/12.
5 0
3 years ago
Read 2 more answers
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