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3 years ago

Please help I dont understand

Mathematics

1 answer:

Anastasy [175]3 years ago

8 0

Answer:

Angle 2=160

Angle 3=10

Step-by-step explanation:

The rhombus is made up of two isoceles triangle.

Angle 1 measures 160.

Since the triangle is a isoceles triangle, the opposite angles of the congruent sides is equal angles to each other.

So the reamaing angles in the top triangle are equal so we can use this equation

Remeber that triangle maximum degree it can hold is 180

$160 + x + x = 180$

$160 + 2x = 180$

$2x = 20$

$x = 10$

We have two congruent triangle side they share Three sides. SSS

This means the corresponding angle of Angle 1 is Angle 2.

Angle 2=Angle 1 by CPCTC.

Angle 2=160

Angle 3 corresponds with one of the remaining congruent angles so it measures

10.

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If h(x)=x^4-2x^2-x+4 , then what is h(x)/(x+3)? You may use either long or synthetic division.

ozzi

Answer:

$\frac{x^4\:-\:2\:x^2\:-\:x\:+\:4}{x\:+\:3}=x^3-3x^2+7x-22+\frac{70}{x+3}$

Step-by-step explanation:

We are going to use long division to find the expression for $\frac{x^4\:-\:2\:x^2\:-\:x\:+\:4}{x\:+\:3}$

Step 1: Divide $\frac{x^4-2x^2-x+4}{x+3}$

Divide the leading coefficients of the numerator $x^4-2x^2-x+4$ and the divisor $x+3$

$\frac{x^4}{x}=x^3$

Quotient = $x^3$

Multiply $x+3$ by $x^3$

$x^4+3x^3$

Subtract $x^4+3x^3$ from $x^4-2x^2-x+4$ to get new remainder

Remainder = $-3x^3-2x^2-x+4$

Therefore,

$\frac{x^4-2x^2-x+4}{x+3}=x^3+\frac{-3x^3-2x^2-x+4}{x+3}$

Step 2: Divide $\frac{-3x^3-2x^2-x+4}{x+3}$

Quotient = $-3x^2$

Remainder = $7x^2-x+4$

Therefore,

$\frac{x^4-2x^2-x+4}{x+3}=x^3-3x^2+\frac{7x^2-x+4}{x+3}$

Step 3: Divide $\frac{7x^2-x+4}{x+3}$

Quotient = $7x$

Remainder = $-22x+4$

Therefore,

$\frac{x^4-2x^2-x+4}{x+3}=x^3-3x^2+7x+\frac{-22x+4}{x+3}$

Step 4:

Quotient = $-22$

Remainder = $70$

Therefore,

$\frac{x^4-2x^2-x+4}{x+3}=x^3-3x^2+7x-22+\frac{70}{x+3}$

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3 years ago

This is the graph of f(x). What is the value of 2)? A. 8 B. 4 C. 16 D. 2

Afina-wow [57]

Answer:

the value of 2 is 8..............

7 0

3 years ago

What must added to 4 3/5 to make seven?

antoniya [11.8K]

Answer:

the answer would be 2 and 2/5

Step-by-step explanation:

3/5 + 2/5 = 1

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6 + 1 = 7

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3 years ago

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A rectangular tank measuring 35 cm by 28 cm by 16 cm is 2/5 filled with

Alina [70]

Answer:

Amount of water left in tank = 440 cm³

Step-by-step explanation:

Given:

Sides of tank respectively = 35 cm , 28 cm , 16 cm

Water level in tank = 2/5

Side of a cubic tank = 18 cm

Find:

Amount of water left in tank

Computation:

Volume level in rectangular tank = [2/5][35 x 28 x 16]

Volume level in rectangular tank = [2/5][15,680]

Volume level in rectangular tank = [31,360/5]

Volume level in rectangular tank = 6,272 cm³

Volume of cube = side³

Volume of cube = 18³

Volume of cube = 5,832 cm³

Amount of water left in tank = Volume level in rectangular tank - Volume of cube

Amount of water left in tank = 6,272 - 5,832

Amount of water left in tank = 440 cm³

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3 years ago

Brainliest will be added

Alex17521 [72]

Answer:

5, $-\frac{1}{10}$ , $-5\frac{4}{8}$

Step-by-step explanation:

If you convert each of these to a decimal, you will get:

$-\frac{1}{10}$ = -0.1

$-5\frac{4}{8}$ = -5.5

and then 5.

So, 5 is the greatest number, followed by -0.1, and -5.5 is the least.

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3 years ago