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Andrej [43]
3 years ago
11

The trapezoids are similar. Both the left and right sides of the trapezoids are not parallel. Find the values of x, a, b, r° and

s°. Explain your answers.

Mathematics
1 answer:
Artemon [7]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

\frac{12}{x} = \frac{9}{6} ( cross- multiply )

9x = 72 ⇒ x = 8

Also

\frac{a}{5} = \frac{9}{6} ( cross- multiply )

6a = 45 ⇒ a = 7.5

And

\frac{b}{7} = \frac{9}{6} ( cross- multiply )

6b = 63 ⇒ b = 10.5

Corresponding angles in the 2 figures are congruent, thus

∠s = 83°

Each lower base angle is supplementary to the upper base angle on the same side, hence

∠r = 180° - 30° = 150°

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A bag contains hair ribbons for a spirit rally. The bag contains 4 black ribbons and 5 green ribbons. Lila selects a ribbon at r
ale4655 [162]

Answer:

Total ribbons = 3 + 12 = 15So, 3/15 = black12/15 = greenTherefore the probability Lila selects the black ribbon first is 12/15Because Lila has taken one

Step-by-step explanation:

4 0
2 years ago
Look at picture for question and answer
Sonja [21]
1. C

2. A

Hope this helped, enjoy your day.
4 0
3 years ago
X/4 - y/3 =1 X and Y axis standard form
Semenov [28]

Answer:

Step-by-step explanation:

x/4 - y/3 = 1..multiply everything by the LCD....which is 12

3x - 4y = 12 <== standard form

=====================================

if it makes it easier for u, x/4 is the same as (1/4)x and y/3 is the same as (1/3)y

so ur problem can be written as : (1/4)x - (1/3)y = 1....multiply by 12

12(1/4)x - 12(1/3)y = 12(1)

(12/4)x - (12/3)y = 12.....reduce

3x - 4y = 12

5 0
3 years ago
jordan go's to the bank every 7 days and then Clare go's to the bank every day will bolth go to the bank
RUDIKE [14]

Answer:

on the seventh day

Step-by-step explanation:

hope this helps

8 0
3 years ago
Marcus wants to use a model to determine the difference
grigory [225]

Electron transfer theory describes the parameters which control the rate at which an electron is transferred from one atom or molecule to another.

<h3>What was the basic principle of Marcus theory?</h3>
  • In theoretical chemistry, Marcus theory is a theory originally developed by Rudolph A. Marcus, starting in 1956, to explain the rates of electron transfer reactions – the rate at which an electron can move or jump from one chemical species.
  • Marcus' method (also referred to as Marcus's method and Method of Marcus) is a structural analysis method which was designed to design concrete slabs with rectangular, orthogonal shapes. It represents an adaptation of the strip method.
  • Marcus Hush theory (M-H theory) was developed in 1956 by Rudolph A. Marcus which explains the fundamentals of the redox/ electron transfer reactions in terms of the rate of jumping/moving an electron from oxidant species (electron donor) to the reductant (electron acceptor).
  • The "Marcus Inverted Region" (MIR) is that part of the function of rate constant versus free energy where a chemical reaction becomes slower as it becomes more exothermic.

We want to see how we can model the difference: -8 - 3 + 3

The correct option is D:

"add 3 positive counters and 3 negative counters"

We know that Marcus starts with 8 negative counters, corresponding to the first term in our difference.

Now, let's study the math of our expression.

-8 - 3 + 3

Remember that we can perform the operation in any order we want, so we can write this as:

-8 + (-3 + 3)

Notice that the thing inside the parentheses is equal to zero, so we have:

- 8 + (-3 + 3) = -8

So to not change the value, we add 3 and we subtract 3.

Now if we have 8 negative counters, and we want to add 3 positive counters and not change the value, then we also need to add 3 negative counters to "cancel" the 3 positive counters we added.

Then the correct option is D.

To learn more about Marcus refer to,

brainly.com/question/23140234

#SPJ1

8 0
1 year ago
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