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2 years ago

How do I work out the value of angle X? And how do I explain it?

Mathematics

2 answers:

storchak [24]2 years ago

8 0

Answer:

x = 60 degrees.

Step-by-step explanation:

This triangle is equilateral so each angle in it = 60 degrees,

The angle x is equal to the bottom right angle in the triangle ( as the top line is parallel to the line in the triangle and alternate angles are equal).

So angle x = 60 degrees.

Stells [14]2 years ago

5 0

Answer:

x = 60°

Step-by-step explanation:

the triangle has 3 congruent sides and is therefore equilateral with 3 congruent angles, each of 60°

x and the angle on the right vertex are alternate angles and are congruent, so

x = 60°

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A rabbit travels 3/4 miles in 7/8 of an hour. whats the rabbits unit rate?

Mnenie [13.5K]

Answer:

= 0.857143 miles per hour

Step-by-step explanation:

This the fractions 3/4 miles and 7/8 hours are equal to

0.75 miles and 0.875 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 0.875

0.75 miles ÷ 0.875

0.875 hours ÷ 0.875

0.857143 miles

1 hour

so the answer would be...

= 0.857143 miles per hour

5 0

3 years ago

Read 2 more answers

Which of the following inequalities has a solution x≥−3

My name is Ann [436]

Answer: A

Step-by-step explanation: 3(x-1) becomes 3x -3 ≤ 4x. Put all like variables on the same side, meaning you'll subtract 3x from both sides giving you -3 ≤ x. You can flip the equation around to make it look exactly like x ≥ -3

6 0

3 years ago

3x^2 + 4x = -8 solve using quadratic formula

Firdavs [7]

Use the quadratic equation to solve this (image of the quadratic equation is below)

Remember that quadratic functions are set up like so:

$ax^{2} +bx +c = 0$

To make the equation 3x² + 4x = -8 into a quadratic function you must bring -8 to the left side of the equation so it equals zero. To do this add 8 to both sides

3x² + 4x + 8= -8 + 8

3x² + 4x + 8 = 0

That means that in this equation...

a = 3

b = 4

c = 8

^^^Plug these numbers into the quadratic equation and solve (Keep in mind that +/- is ± )

$\frac{-4+/-\sqrt{(4)^{2}-4(3)(8)}}{2(3)}$

$\frac{-4+/-\sqrt{16-96}}{6}$

$\frac{-4+/-\sqrt{-80}}{6}$

^^^There is no real solution to this equation. You must have an imaginary solution

$\frac{-4+/-i\sqrt{80}}{6}$

Simplify

$\frac{-2+/-2i \sqrt{5}}{3}$

Hope this helped!

~Just a girl in love with Shawn Mendes

5 0

3 years ago

Find the equation for the line that passes through the point (−2,0), and that is perpendicular to the line with the equation 2/3

patriot [66]

Answer:

y = 3/2 x + 3

Step-by-step explanation:

2/3 x + y = -14/3

y = -2/3 x − 14/3

The slope of this line is -2/3. So the perpendicular slope is the opposite of the inverse:

m = -1 / (-2/3)

m = 3/2

We know the slope of the line and a point on the line, so using point-slope form:

y − 0 = 3/2 (x − (-2))

Simplifying into slope-intercept form:

y = 3/2 (x + 2)

y = 3/2 x + 3

5 0

3 years ago

Please identify the common angles and sides or if there are non. Explain all work please!

vova2212 [387]

Answers:

Common angles: ΔBGC and ΔGDC

Common sides: ΔGE and ΔAG

A common angle is a triangle that exists in two or both of the triangles.

Here, the common angles should be ΔBGC and ΔGDC.

These two angles are triangles, and they consist in both triangles.

A common side is when two angles have one vertex in the same area.

Here, we see that the common sides are ΔGE, because they intersect.

Another common side we see here is ΔAG, because they also intersect.

Hope this answer helps you!

8 0

3 years ago