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2 years ago

In the figure, △ABC is similar to △DEF. what is m∠1

Mathematics

1 answer:

Nady [450]2 years ago

7 0

Answer:

C. 139°

Step-by-step explanation:

Given:

m<A = 62°

m<B = 77°

Required:

Find m<1

Solution:

Since ∆ABC is similar to ∆DEF, therefore:

<A ≅ <D, which means m<D = 62°

<B ≅ <E, which means m<E = 77°

<C ≅ <F

Therefore, based on exterior angle theorem:

m<1 = m<D + m<E

m<1 = 62° + 77° (substitution)

m<1 = 139°

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which expression is not equal to the expression shown? 3 to the 3rd power divided by 3 to the negative 4th power. Need the answe

Alecsey [184]

Answer:

$3^{-3}$ ÷ $3^{4}$

Step-by-step explanation:

Evaluate $3^3$ ÷ $3^{-4}$ , then evaluate each given expression to find which of them will give us the same result.

$3^3$ ÷ $3^{-4}$

$27$ ÷ $\frac{1}{3^4}$ (recall: $a^{-x} = \frac{1}{a^x}$

$27$ ÷ $\frac{1}{81}$

$27 * \frac{81}{1}$ (changing from division operation to multiplication by flipping the fraction to our right upside down)

$27 * 81 = 2,187$

Let's compare the expressions in the given options to the value we got above:

Option 1: 3*3⁶

= 3*729 = 2,187 (this is equal)

Option 2: 3⁷ ÷ 3⁰

= 2,187 ÷ 1 (recall: x⁰ = 1, therefore, 3⁰ = 1)

= 2,187 (this is equal)

Option 3: 3³ * 3⁴

= 27*81 = 2,187 (this is equal)

Option 4: $3^{-3}$ ÷ $3^{4}$

$\frac{1}{3^3}$ ÷ $81$

$\frac{1}{27}$ ÷ $81$

$\frac{1}{27} * \frac{1}{81}$ (changing from division to multiplication)

$= \frac{1*1}{27*81}$

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$3^{-3}$ ÷ $3^{4}$ i not equal to $3^3$ ÷ $3^{-4}$ .

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2 years ago

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Answer:

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Step-by-step explanation:

Solve this system by substitution:

Replace y in the first equation with -2x - 2:

2x + (-2x - 2) = 2, or

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2 years ago

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vlabodo [156]

Answer:

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Step-by-step explanation:

The distance between two points with coordinates (x₁, y₁) and (x₂, y₂) is given as

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

So, the distance between point (2,0) and a point (x,y)

d = √[(x - 2)² + (y - 0)²]

d = √[(x - 2)² + (y)²]

But the point (x,y) is on the line y = 3x - 1

We can substitute for y in the distance between points equation.

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QED!

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2 years ago

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Step-by-step explanation:

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now let's put the expression on the upper side so it I'll be

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2 years ago

Read 2 more answers