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2 years ago

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Mathematics

1 answer:

finlep [7]2 years ago

8 0

Answer:

The speed of a car is x miles per hour.

The total distance the car travels in

30 minutes is y. ....>>> y = 0.5x

The cost to produce a table, y, is two

times the cost to produce a chair, x. ..> y = 2x

The time required to bake a chocolate

muffin, y, is 2 minutes more than the

time required to bake a vanilla muffin, x.....>> y = x + 2

Tina’s age, y, is 5 years more than

her brother Tim’s age, x. .......>> y = x + 5

Step-by-step explanation: The only really tricky one is the "speed of the car ..." because the speed is given in miles per hour and the time is given in minutes so that is 0.5 hour times time

Otherwise, "times" means multiplication and "more than" means addition.

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Segment AE is congruent to segment EB

Rudiy27

EF for sure u got to really pay attention to the inches

5 0

2 years ago

HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME

Kryger [21]

Answer:

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 $R{}'T{}'=5\sqrt{2}$ .

(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 $\Delta ABD\cong \Delta CBD$ .

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

2 years ago

Read 2 more answers

A dress that is normally costs 69.50 is on sale for 45% off. What is the sale price of the dress

vekshin1

$69.5 minus 45% is $38.23

5 0

3 years ago

Read 2 more answers

A fruit stand sells apples, peaches and tomatoes. Today, they sold 4 apples for every 5 peaches. They sold 2 peaches for every 3

Brrunno [24]

Answer:

He sold 32 apples, 40 peaches and 60 apples.

Step-by-step explanation:

We are given that

4 apples are sold every 5 peaches and

3 tomatoes are sold every 2 peaches.

i.e. the ratio is apples: peaches = 4 : 5 ...... (1)

and the ratio peaches: tomatoes = 2 : 3 ...... (2)

Peaches are the common link here in both the ratio terms.

Let us make the peaches value in both the ratio as 10 to make it equal in both the ratio terms.

Multiply (1) by 2 and (2) by 5:

The ratio becomes;

apples:peaches = 8:10

peaches: tomatoes = 10:15

In other words, the ratio becomes:

apples:peaches:tomatoes = 8:10:15

Let the number of apples = $8x$

Let the number of peaches = $10x\\$

Let the number of tomatoes = $15x$

We are given that total fruits are = 132

$\Rightarrow 8x+10x+15x = 132\\\Rightarrow 33x = 132\\\Rightarrow x =4\\$

So, number of apples sold = $8 \times 4 = 32$

Number of peaches sold = $10 \times 4 = 40$

Number of tomatoes sold = $15 \times 4 = 60$

7 0

3 years ago

Given that X ~ N(120, 35). We survey samples of 25 and are interested in the distribution of X-bar. Find the z-score associated

lubasha [3.4K]

Answer:

Option c -2.8571

Step-by-step explanation:

z-score are calculated as

$z=\frac{xbar-mean}{\frac{S.D}{\sqrt{n} } }$ .

We are given that mean=120 and standard deviation=S.D=35 as X~N(120,35).

Sample size=n=25.

We have to find z-score for x-bar=100. So,

z-score=[100-120]/[35/√25]

z-score=[-20]/[35/5]

z-score=-20/7

z-score=-2.8571.

Thus, the z-score associated with x-bar = 100 is -2.8571.

8 0

3 years ago