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2 years ago

Tell whether the equation has one solution, infinite many solutions, or no solutions. -2k + 7 = 4k - 6k + 7

Mathematics

1 answer:

sashaice [31]2 years ago

4 0

Answer:

Infinite many solutions

Step-by-step explanation:

all real numbers

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Since it is given that AB ≅ AC, it must also be true that AB = AC. Assume ∠B and ∠C are not congruent. Then the measure of one a

BartSMP [9]

Answer: The required conclusion is

"if in triangle ABC, AB ≅ AC, then ∠B and ∠C must be congruent".

Step-by-step explanation: Given that in triangle ABC, AB ≅ AC, implies that AB = AC must be true. We are given to assume ∠B and ∠C are not congruent. Then the measure of one angle is greater than the other.

If m∠B > m∠C, then AC > AB because of the triangle parts relationship theorem.

For the same reason, if m∠B < m∠C, then AC < AB.

This is a contradiction to the given information.

We are to state the conclusion.

Since in the beginning, it is given that AB ≅ AC and we have assumed that ∠B and ∠C are not congruent, so

our assumption must be wrong.

That is, ∠B and ∠C must be congruent.

Thus, the required conclusion is

if in triangle ABC, AB ≅ AC, then ∠B and ∠C must be congruent.

5 0

2 years ago

Read 2 more answers

200 years ago, as it became more and more evident that the

svp [43]

Answer:

The American population was 20% of the British population.

Step-by-step explanation:

Let us call $A$ the american population, $B$ the British population before the migration, and $x$ the population that migrated from America to Britannia.

Now, the population $x$ that migrated was 20% of the american population:

$(1).\: \: x = 0.2A$ ,

and the same population $x$ increase the British population by 4%:

$x+B = 1.04B \\\\ (2). \:\:x = 0.04B.$

Combining equation (1) and (2) we get:

$0.2A = 0.04B$

$A = \dfrac{0.04B}{0.2}$

$\boxed{A = 0.2B}$

Thus, the American population was 20% of the British population.

5 0

3 years ago

You are in talks to settle a potential lawsuit. The defendant has offered to make annual payments of $15,000, $25,000, $40,000,

Sphinxa [80]

Answer:

All payments will be made at the end of the year by using the present value of inflows

Step-by-step explanation:

Present Value Of Inflows = Cash Inflow × Present Value Of Discounting Factor (Rate%,Time Period)

Present Value Of Inflows = $15000/1.037$ + $25000/1.037^{2}$ + $40000/1.037^{3}$ + $60000/1.037^{4}$

Present Value Of Inflows = 125466.3

8 0

3 years ago

Из листа картона длиной 35 см и шириной 20 см Маша вырезала четыре квадрата площадью 1 дм2 каждый.Найди площадь остатка картона.

myrzilka [38]

The question in Englih is
From a cardboard sheet 35 cm long and 20 cm wide, Masha cut out four squares of 1 dm2 each. Find the area of the cardboard residue. Answer the question in dm2

Step 1
convert cm to dm
we know that
1 cm is---------------> 0.10 dm
then
35 cm--------------> 3.5 dm
20 cm--------------> 2 dm

Step 2
find the area of the cardboard
Area=3.5*2=7 dm²

Step 3
find the area of the cardboard residue
Area=7-4*1=3 dm²

the answer is 3 dm²

the answer in Russian


Шаг 1
преобразовать cm в дм
мы знаем это
1 cm ---------------> 0.10 дм
тогда
35 cm--------------> 3.5 дм
20 cm--------------> 2 дм

Шаг 2
найти область картона
Площадь=3.5*2=7 дм²

Шаг 3
найти область остатка картона
Площадь=7-4*1=3 дм²
ответ 3 дм²

ответ 3 дм²

4 0

2 years ago

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Help please, I don’t understand this

Solnce55 [7]

Answer:

r(14) = 29

Step-by-step explanation:

r(x) = 3/2x+8

r(14) = 3/2*14+8 = 21+8 = 29

6 0

3 years ago

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