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2 years ago

Name the corresponding part if RST WXY. ST = A) WY B) WX C) XY

2 answers:

7 0

To determine the part of the triangle that corresponds to the parts of the other triangle, we can just see how they are arranged in the equation,
RST = WXY
The corresponding side of side ST is equal to side XY. Thus, the answer is letter C.

ELEN [110]2 years ago

7 0

Answer:

Option C

Step-by-step explanation:

we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal and their corresponding angles also are equal

In this problem

$\frac{RS}{WX}=\frac{ST}{XY}=\frac{RT}{WY}$

therefore

the corresponding sides are

RS and WX

ST and XY

RT and WY

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Mr and Mrs Thomas buy tickets for themselves and their four children The cost of an adult ticket is £7 more than the cost of a c

Evgen [1.6K]

Let's call the prices a and c, a for adult...

The cost of an adult ticket is £7 more than the cost of a child ticket:

a = 7 + c

The total cost of the six tickets is £86.

86 = 2a + 4c

c = a-7

86 = 2a + 4(a-7) = 6a - 28

114 = 6a

a = 19

Answer: £19

Check:

That implies c=12.

2a+4c = 2(19)+4(12) = 38 + 48 = 86, good

8 0

2 years ago

At the market, potatoes cost 1.15 per pound.Imagine you bought 3.45 worth of potatoes. How many pounds of potatoes did you buy?

Leokris [45]

Answer:

You brought 3 lbs of potatoes

Step-by-step explanation:

divide 3.45 by 1.15

5 0

2 years ago

A company produces metal slabs for industrial use. the slabs come in 3 thicknesses: 5in, 10in, and 15in. the weights of each thi

Len [333]

Given slabs thicknesses 5in, 10in, and 15in.

Therefore, ratio of thicknesses in simplest form would be 1:2:3.

Metal 1 thicknesses = 150lbs, 300lbs, 600lbs

Dividing by 150, we get ratio of Metal 1 thicknesses = 1:2:4.

Metal 2 thicknesses = 130lbs, 260lbs, 390lbs.

Dividing by 130, we get ratio of Metal 2 thicknesses = 1:2:3.

Metal 3 thicknesses = 310lbs, 620lbs, 930lbs.

Dividing by 310, we get ratio of Metal 3 thicknesses = 1:2:3.

Metal 4 thicknesses = 140lbs, 280lbs, 420lbs.

Dividing by 140, we get ratio of Metal 4 thicknesses = 1:2:3.

We can see the ratios of thicknesses of Metal 1 are 1:2:4 but it should be 1:2:3.

Therefore, Metal 1 weight is not proportional to thickness.

5 0

2 years ago

Read 2 more answers

Let f(x)=4x-1 and g(x)=2x^2+3. Perform each function operations and then find the domain.

Triss [41]

F(x) = 4x - 1
g(x) = 2x² + 3

1. (f + g)(x) = (4x - 1) + (2x² + 3)
(f + g)(x) = 2x² + 4x + (-1 + 3)
(f + g)(x) = 2x² + 4x + 2
Domain: {x| -∞ < x < ∞}, (-∞, ∞)

2. (f - g)(x) = (4x + 1) - (2x² + 3)
 (f - g)(x) = 4x + 1 - 2x² - 3
(f - g)(x) = -2x² + 4x + 1 - 3
(f - g)(x) = -2x² + 4x - 2
Domain: {x|-∞ < x < ∞}, (-∞, ∞)
3. (g - f)(x) = (2x² + 3) - (4x - 1)
(g - f)(x) = 2x² + 3 - 4x + 1
(g - f)(x) = 2x² - 4x + 3 + 1
(g - f)(x) = 2x² - 4x + 4
Domain: {x| -∞ < x < ∞}, (-∞, ∞)

4. (f · g)(x) = (4x + 1)(2x² + 3)
(f · g)(x) = 4x(2x² + 3) + 1(2x² + 3)
(f · g)(x) = 4x(2x²) + 4x(3) + 1(2x²) + 1(3)
(f · g)(x) = 8x³ + 12x + 2x² + 3
(f · g)(x) = 8x³ + 2x² + 12x + 3
Domain: {x| -∞ < x < ∞}, (-∞, ∞)

5. $(\frac{f}{g})(x) = \frac{4x - 1}{2x^{2} + 3}$
Domain: 2x² + 3 ≠ 0
- 3 - 3
2x² ≠ 0
2 2
 x² ≠ 0
x ≠ 0
(-∞, 0) ∨ (0, ∞)

6. $(\frac{g}{f})(x) = \frac{2x^{2} + 3}{4x - 1}$
Domain: 4x - 1 ≠ 0
+ 1 + 1
4x ≠ 0
4 4
x ≠ 0
 (-∞, 0) ∨ (0, ∞)

6 0

2 years ago

Find the coordinates of the midpoint of LB if L(8,5) and B(-6,2) 10 points!!!

KATRIN_1 [288]

Answer:

A, (1, 3+1/2)

Step-by-step explanation:

Midpoint formula for reference: m= {(x1 + x2)/2, (y1 + y2)/2}

Plugging in the points we get: m= {(8 - 6)/2, (5 + 2)/2}

Now we simplify using PEMDAS. First step is parentheses.

m= {2/2, 7/2}

Simplifying again (and making 7/2 a mixed number), it becomes

m= {1, 3+1/2}

Hope this helps!

3 0

1 year ago