All categories

3 years ago

6.

Mathematics

1 answer:

Katarina [22]3 years ago

7 0

Answer:

Step-by-step explanation:

Comparing the triangles in the given questions, the following can be deduced:

5. The scale factor = $\frac{15}{10}$ = $\frac{12}{8}$ ≠ $\frac{9}{7}$

So that;

QR is similar to UT, PR is similar to US, but PQ is NOT similar to TS.

Thus, the triangles are NOT similar.

6. Scale factor = $\frac{15}{10}$ = $\frac{12}{8}$ = $\frac{9}{6}$

= 1.5

So that;

QR is similar to UT, PR is similar to US, but PQ is similar to TS.

Thus, the triangles are similar by Side-Side-Side (SSS).

7. Here, an exact scale factor can not be determined. Thus, the triangles are NOT similar.

You might be interested in

a company declared a dividend of $1.50 per share. john has 600 shares in the company. how much will she get?

Harman [31]

Answer:

$900

Step-by-step explanation:

So if each individual share is $1.50 we can presume that we need to multiply both factors. 1 x 600 is 600 and .50 x 600 is 300. 600 + 300 = 900. John will get $900 in shares profit.

3 0

3 years ago

Over 6 months, Fiona used her online banking account to pay a total of $274.50 for her cell phone services. Her cell phone servi

pentagon [3]

Answer:

45.75

Step-by-step explanation:

you divided 274.50 by 6 and get the answer

4 0

3 years ago

Can someone please help me ASAP.....

tester [92]

We have to start with a number $x$ , compute $f(x)$ , and then use this result as input for $g(x)$

When you give $x$ as input to $f$ , it returns $-x^2-1$ :

$x\mapsto f(x)-x^2-1$

Now, $g(x)=x+5$ simply means that $g$ will return its input plus five.

In this case, the input is $f(x)$ , so we have

$g(f(x))=f(x)+5 = -x^2-1+5=-x^2+4$

5 0

3 years ago

Armando used algebra tiles to represent the product 3 x (2 x minus 1). An algebra tile configuration. 3 tiles are in the Factor

EleoNora [17]

Answer:

Some of the products do not show the correct powers of x.

Step-by-step explanation:

From the picture,

3x(2x - 1) = 6x² - 3x

The correct display on the tile should look like this :

_____+x ______ +x ______ +x

+x __ +x² ______+x² ______+x²

+x__ +x² ______ +x² ______+x²

- ___ -x _______ -x _______-x

+6x² - 3x

5 0

3 years ago

The number of chairs on a ski lift is inversely proportional to the distance between them a lift has 70 chairs when there’s spac

zhannawk [14.2K]

Answer:

Space between 80 evenly spaced chairs = 21m

Step-by-step explanation:

So, according to the given statement, we have the following expression:

No. of chairs ∝ $\frac{1}{Distance.Between.chairs}$

70 chairs are 24m apart, so it can be written as:

70 ∝ $\frac{1}{24}$

For, 1 chair , we divide both sides by 70

$\frac{70}{70}$ ∝ $\frac{1}{24(70)}$

1 ∝ $\frac{1}{24 (70)}$ -----------------------(Equation 1)

For 80 chairs:

Multiply both sides of Equation.1 by 80

80 ∝ $\frac{80}{24 (70)}$

80 ∝ $\frac{1}{21}$

So according to the above relation,

80 evenly spaced chairs will have a space of 21 m between them.

7 0

3 years ago