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3 years ago

A triangle is drawn and then translated as shown in the diagram. Which statement is true?

Mathematics

2 answers:

abruzzese [7]3 years ago

6 0

Answer:

Step-by-step explanation:

Congruent means the same. Translating it just moves it somewhere else.

alexandr1967 [171]3 years ago

5 0

Answer: D) The two triangles are congruent because a translation does not change size and shape.

Step-by-step explanation:

A translation is a kind of rigid motions that moves a geometric figure on a xy plane by some distance in a particular direction .

Since all rigid motions create congruent figures , it means it do not change the shape and size of the figure.

So, translation does not change size and shape.

If a triangle is drawn and then translated, then they are congruent because a translation does not change size and shape.

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Classify the following triangle. Check all that apply.

Alekssandra [29.7K]

The triangle is obtuse

8 0

3 years ago

Each year a car is worth 8% less than it was the year before. After 3 years, the car is worth $19,311.46. What was the original

vagabundo [1.1K]

Answer:

$24,800

Step-by-step explanation:

If a car is worth 8% less after one year, then it is worth 92% of the original value.

original value = x

after 1 year: 0.92x

after 2 years: 0.92(0.92x)

after 3 years: 0.92(0.92(0.92x))

0.92³x = $19,311.46

x = $19,311.46/0.92³

x = $24,800

3 0

2 years ago

A rectangular lawn has an area of 140 square yards. Its width is 6 yards less

Katarina [22]

Answer:

length : 10 yard

width: 14 yard

Step-by-step explanation:

Let l be the length of the yard.

Since the width is 6 yards less than twice its length, we can say the width is 2l-6.

With width x length=area,

l (2l -6) = 140

2l^2 - 6l = 140

2l^2 - 6l - 140 = 0

Using the quadratic formula,

we can determine l = 10 or -7

since the length should not be negative,

the length is 10 yard.

Now substitute l=10 into 2l-6.

width = 2(10)-6

= 14 yard

6 0

3 years ago

2. The alkalinity of a fluid (pH) can be modeled in terms of its hydrogen ion concentration (H+, measured in moles/liter) of the

nataly862011 [7]

Given the equation:

$pH=-log\mleft(H^+\mright)$

You know that a lab technician finds that a sample of fluid has this pH:

$pH=4.5$

Then, in order to find the hydrogen ion concentration of the fluid, you need to follow these steps:

1. Substitute the pH given in the exercise into the equation:

$4.5=-log(H^+)$

Multiply both sides by -1:

$-4.5=\log (H^+)$

2. Solve for:

$H^+$

Remember that, by definition:

$\log _b\mleft(c\mright)=a\Rightarrow b^a=c$

In this case, you can identify that:

$\begin{gathered} a=-4.5 \\ b=10 \\ c=H^+ \end{gathered}$

Hence, substituting values and simplifying, you get:

$\begin{gathered} b^a=c \\ 10^{-4.5}=H^+ \\ H^+=0.00003162278\text{ }\frac{moles}{liter} \end{gathered}$

Therefore, the answer is:

$H^+=0.00003162278\text{ }\frac{moles}{liter}$

4 0

2 years ago

Identify which study method is illustrated by each example: a. The local department of transportation is responsible for maintai

Nonamiya [84]

Answer:

Experiment

Step-by-step explanation:

There is a “treatment” being applied which in this case is changing the environment which makes it and experiment

8 0

3 years ago