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Answer:

x = 5

Step-by-step explanation:

Since the problem shows us that all the angles of the triangle are equal, we can confirm this is an equilateral triangle. Equilateral triangles have the same angles and the same side lengths. Knowing this, we can set up an equation to solve for x.

6x - 5 = 5x (Given)

-5 = -x (Subtract 6x on both sides)

5 = x (Divide -1 on both sides)

Therefore, x = 5.

Answer:

x = 5

Step-by-step explanation:

Since all the three angles of the triangle GJH are marked by identical signs, thus they are congruent.

Therefore, triangle GJH is an equilateral triangle.

Measures of all sides of an equilateral triangle are equal.

So,

6x - 5 = 5x

6x - 5x = 5

x = 5

the second one is correct

Answer:

x = 14[tex]\sqrt{2}[/tex]

y = 14

z= 14[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.

Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that x will be the same as its respective leg, 14[tex]\sqrt{2}[/tex]

Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.

Since y is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, y is 14. z is then 14[tex]\sqrt{3}[/tex] using either Pythagorean Theorem or special right triangle properties for 30-60-90.

Answer:

B

Step-by-step explanation:

Answer:

207

Step-by-step explanation:

Answer:

∠ BXC = 70°

Step-by-step explanation:

∠ XBC and ∠ AXY are corresponding angles and are congruent, then

∠ XBC = 55°

Since XB = XC , then Δ XBC is isosceles and the 2 base angles are congruent.

∠ BXC = 180° - (55 + 55)° ← angle sum of triangle

∠ BXC = 180° - 110° = 70°

The measure of angle BXC is 70°

"It is a line that passes through two lines in the same plane at two different points."

"These are the lines in the same plane that are at equal distance from each other and never meet."

"It is a triangle having any two sides equal in length."

For given example,

We can observe that XY and BD are parallel lines and AB is the transversal.

Here,

∠AXY = ∠XBC                                  ..............(Corresponding angles)

⇒ ∠XBC = 55°

In figure, for ΔXBC the sides XB and XC are equal.

So, ΔXBC is an isosceles triangle.

We know, for isosceles triangle, angles opposite to equal sides are equal in measure.

⇒ ∠XBC = ∠XCB

⇒ ∠XCB = 55°

We know, the sum of all angles of the triangle is 180°.

⇒ ∠XBC + ∠XCB + ∠BXC = 180°

⇒ 55° + 55° + ∠BXC = 180°

⇒ 110° + ∠BXC = 180°

⇒ ∠BXC = 70°

Therefore, the measure of angle BXC is 70°

Learn more about the angles formed by parallel line and transversal here:

https://brainly.com/question/15464186

#SPJ2

Answer:

the reasoning for 1 2 and 3 are given and then the statement for 4 is triangle abc = triangle cde and its reasoning is sss theorem (side-side-side)

Step-by-step explanation:

1, 2 and 3 are basically given and then 4 is SSS Theorem since all three sides of the first triangle are equal to all three sides of the second triangle

Answer:

108 bottles

Step-by-step explanation:

[tex] \frac{4.536}{0.042} = 108 \: bottles[/tex]

Answer:

108 bottles

Step-by-step explanation:

[tex]\frac{4.536}{0.042}[/tex]=108

Answer:

34

Step-by-step explanation:

Answer:

x=34

Step-by-step explanation:

2x=x+34

-x   -x

x=34

TADA! :D

Answer:

its green so you got it right

and if thats not the case you are correct

Step-by-step explanation:

Answer:

$3701.45. I hope this helps :)

Step-by-step explanation:

Answer:

y=2x+0

Slope:  

2

y-intercept:  

( 0, 0 )

Step-by-step explanation:

Slope intercept form: y=mx+b

Use the slope formula and the slope-intercept form to find the slope  m  and y-intercept  b .

Answer:

Ok, this is pretty simple. So, if it rises 6 degrees every five days, then we have to figure out how many "five days" are in 30 days. It would be 6! So now all we have to do is multiply. 6 times 6 equals 36 degrees.

The answer is 36 degrees.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

If it rises 6 degrees every 5 days, we just need to figure out how many 5 days are in 30 days. When you solve, you'll get 6. Now we can just multiply 6 x 6 = 36. Hope this helped, please mark brainliest if it did

Answer: There are 75 Adults in the supermarket ask me why if you want a full on explanation. The full on reason of why it is 75 is because if you have a ratio of 1:5 and you now the one is for the kids and it is 15. Then you add 15 from 1 until you get to the 5th ratio. Hence, it brings you all the way to 75 adults. I hope this helped you, and anyone else

Step-by-step explanation:

Answer:

A :10.5 is the answer

Step-by-step explanation:

Answer:

D) infinitely many solutions

Step-by-step explanation:

5 ( x-3 ) - 3x = 8x - 15 - 6x

5x - 3x - 15 = 8x - 6x - 15

2x - 15 = 2x - 15

2x = 2x

Since, equations of both lines are same. Therefore, there are infinitely many solutions.

Answer:

D

Step-by-step explanation:

Given

5(x - 3) - 3x = 8x - 15 - 6x

5x - 15 - 3x = 2x - 15

2x - 15 = 2x - 15

Since both sides are the same then any real value of x will be a solution.

That is there are infinitely many solutions

Answer:

1683 / 383 = 4.39 or approx 4.4

Answer:

4.39425587467 or 4 remainder 151.

Step-by-step explanation:

Long division.

Answer:

Height if the tree: 13.8 meters

Answer:

Height of the tree: 13.8 meters

Answer:

−4x3+6x2−x

Step-by-step explanation:

(−x)(4x2−6x+1)

=(−x)(4x2+−6x+1)

=(−x)(4x2)+(−x)(−6x)+(−x)(1)

=−4x3+6x2−x

Answer:

-15

Step-by-step explanation:

-6x = 90

x = 90 ÷ -6

x = -15

Answer:

X = -15

Step-by-step explanation:

90/-6 is equal to -15.

You divide the number from the side with the variable from the other side of the = sign.

Answer:

63

Step-by-step explanation:

7(15-4)

7(9)

63

Answer:

[tex] \frac{23}{24} [/tex]

Step-by-step explanation:

[tex]2a + b[/tex]

[tex]a = \frac{5}{12} \\ b = \frac{1}{8} [/tex]

Substitute a = 5/12 and b = 1/8 in the expression.

[tex]2( \frac{5}{12} ) + \frac{1}{8} \\ \frac{5}{6} + \frac{1}{8} [/tex]

Our denominator must be 24. (LCM)

[tex] \frac{5 \times 4}{6 \times 4} + \frac{1 \times 3}{8 \times 3} \\ \frac{20}{24} + \frac{3}{24} \\ \frac{23}{24} [/tex]

Given:

A line AB joins the points A (3,4) and B (5,8).

To find:

The midpoint of the line AB.

Solution:

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

A line AB joins the points A (3,4) and B (5,8). So, the midpoint of line AB is

[tex]Midpoint=\left(\dfrac{3+5}{2},\dfrac{4+8}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{8}{2},\dfrac{12}{2}\right)[/tex]

[tex]Midpoint=\left(4,6\right)[/tex]

Therefore, the midpoint of the line AB is (4,6).

Answer:

Answer:

.

Step-by-step explanation:

Answer:

she spends 50% of her budget on her car

Step-by-step explanation:

300 is half of 600. I hope this helps :)

Answer:45

Step-by-step explanation:

Answer:13.8

Also Stop cheating