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2 years ago

Find the value of x then classify the triangle by its angles

Mathematics

2 answers:

Reptile [31]2 years ago

8 0

Step-by-step explanation:

3x+X+60=180

4x=180-60

X=120/4

X=30

SOLVED

Neporo4naja [7]2 years ago

6 0

Answer:

Step-by-step explanation:

3x + x + 60 = 180.

first, we add the x's together.

4x + 60 = 180

then we see if they all have a common multiple. in this case, they do. they are all divisible by 4, so we can use that.

x + 15 = 45

then, just subtract 15 from both sides, that way we get the variable by itself.

x = 30

also, it is a right triangle. the top angle (3x) multiplied by 3 is 90. any triangle that has a 90 degree angle is automatically a right triangle.

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elect the correct answer from each drop-down menu. A system of linear equations is given by the tables. x y -5 10 -1 2 0 0 11 -2

sergeinik [125]

Answer:

First equation: y = -2x

Second equation: y = 3 - x

Solution: (1, -2)

Step-by-step explanation:

Assuming the ordered pairs of the tables are:

Table 1

(-5, 10) (-1, 2) (0, 0) (11, -22)

Table 2

(-8, -11) (-2, -5) (1, -2) (7, 4)

To create a linear equation, pick 2 ordered pairs. Calculate the slope by using the slope formula, then use the points-slope form of the linear equation to form the equation.

$\textsf{slope }m=\dfrac{\textsf{change in }y}{\textsf{change in }x}$

$\textsf{point-slope form : }y-y_1=m(x-x_1)$

Equation 1

$\textsf{slope }m=\dfrac{2-10}{-1+5}=-2$

$y-0=-2(x-0)\\\\\implies y=-2x$

Equation 2

$\textsf{slope }m=\dfrac{-5+11}{-2+8}=1$

$y+11=1(x+8)\\\\\implies y=x-3$

Solution to the System

Equate the equations and solve for x:

-2x = x - 3

⇒ 0 = 3x - 3

⇒ 3x = 3

⇒ x = 1

Substitute found value of x into one of the equations and solve for y:

y = 1 - 3 = -2

Therefore, the solution is (1, -2)

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2 years ago

Peanuts are $2 a pound and raisins are $4 a pound. Julian bought a 7 pound mixture of peanuts and raisins for $20. How many poun

Elena-2011 [213]

Answer:

there was 3 pounds of raisins and 4 pounds peanuts.

Step-by-step explanation:

4 times 3 =12 and 2 times 4 = 8. 3+4=7 so 7 pounds. 12+8=20 so $20.

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3 years ago

Solve the equation 3(4 + 3r)

sertanlavr [38]

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3 years ago

An artist wants to make alabaster pyramids using a block of alabaster with a volume of 576 cubic inches. She plans to make each

marta [7]

Answer:

144 pyramids

Step-by-step explanation:

The volume of a pyramid = 1/3*base area * height

Given: Base area = 3 sq.inches

Height = 4 inches

Volume of each pyramid = 1/3*3*4

= 4 cube inches.

To find the number pyramids can the artist make from block of alabaster artist, we need to divide 576 by 4.

= 576/4

= 144

Therefore, the artist can make 144 pyramids.

Thank you.

6 0

3 years ago

Read 2 more answers

Suppose f(x)=2x−5. Find the value of f(3) can someone please help me with this?

dmitriy555 [2]

f(3) = 1

substitute x = 3 into f(x)

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2 years ago