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3 years ago

Use the figure to find the measure of angle 2.

Mathematics

1 answer:

ale4655 [162]3 years ago

7 0

Answer:

∠ 2 = 70°

Step-by-step explanation:

110° and ∠ 1 are corresponding angles and congruent, thus

∠ 1 = 110°

∠ 1 and ∠ 2 are adjacent angles and are supplementary, thus

∠ 2 = 180° - ∠ 1 = 180° - 110° = 70°

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If you know the diameter of a circle,

arsen [322]

Step-by-step explanation:

a. Area of a circle = πr², where r means radius.

Step 1: converted diameter to radius.

diameter = 2 radius

In other way of writing, radius = $\frac{1}{2}$ diameter.

Step 2: substitute radius into the formula.

Area of a circle = π( $\frac{1}{2}$ d)²

Step 3: substitute π into the formula.

some question is given the value of π), if not substitute 3.14 for π.

Area of a circle = 3.14( $\frac{1}{2}$ d)²

Step 4: substitute d into the formula, then we can solve its area.

b. a. Circumference of a circle = 2πr, where r means radius.

Step 1: converted diameter to radius.

diameter = 2 radius

In other way of writing, radius = $\frac{1}{2}$ diameter.

Step 2: substitute radius into the formula.

C = 2π( $\frac{1}{2}$ d)

Step 3: substitute π into the formula.

some question is given the value of π), if not substitute 3.14 for π.

C = 2(3.14)( $\frac{1}{2}$ d)

Step 4: substitute d into the formula, then we can solve its circumference.

6 0

2 years ago

18 2by5-4 1by10 find the difference

luda_lava [24]

Given:

The expression is:

$18\dfrac{2}{5}-4\dfrac{1}{10}$

To find:

The difference.

Solution:

We have,

$18\dfrac{2}{5}-4\dfrac{1}{10}$

It can be rewritten as:

$=\dfrac{90+2}{5}-\dfrac{40+1}{10}$

$=\dfrac{92}{5}-\dfrac{41}{10}$

Taking LCM, we get

$=\dfrac{184-41}{10}$

$=\dfrac{143}{10}$

$=\dfrac{140+3}{10}$

$=14\dfrac{3}{10}$

Therefore, the value of the difference is $14\dfrac{3}{10}$ .

3 0

3 years ago

Darnell rented a moving truck the weight of the empty truck was 7860 pounds when Darnell fill the truck with his items it weighe

Diano4ka-milaya [45]

A ton weighs 2000 pounds, so if you were to take 6 tons, it will be 12000 pounds.

4 0

3 years ago

Identify the values hat create ordered pairs that are solutions to the equation 3x-5y=20

djyliett [7]

X-intercept is 0
Y-intercept is —4

5 0

2 years ago

30 points 1 question PLEASE HELP ME OUT I REALLY NEED IT

Pachacha [2.7K]

Answer:

p(-5/3) ≠ 0 So, (3 x +5) is NOT A FACTOR of p(x)

Step-by-step explanation:

Here, the given function is $p(x)=3x^5+2x^2 - 5$

Now, the given root of the function is ( 3x +5)

Now, if ( 3 x + 5) = 0,

we get x = - 5/3

So, the zero of the given polynomial is x = -5/3

Then, x = -5/3, p(x) =0 ⇒ ( 3 x + 5) is a FACTOR of p(x)

Now, let us find the value of function at x = -5/3

Substitute x = -5/3 in the given function p(x), we get:

$p(x)=3x^5+2x^2 - 5 \implies p(\frac{-5}{3}) = 3(\frac{-5}{3})^5 + 2(\frac{-5}{3})^2 - 5\\= 3(\frac{-3,125}{243}) + 2(\frac{25}{9}) - 5\\= (\frac{-3,125}{81}) + (\frac{50}{9}) - 5\\= -38.580 + 5.56 - 5 = -38.02\\\implies p(\frac{-5}{3}) = -38.02$

Now, as p(-5/3) ≠ 0 So, (3x +5) is NOT A FACTOR of p(x)

6 0

3 years ago