All categories

3 years ago

Please, if I get this wrong I fail please help me, it will mean a lot to me

Mathematics

2 answers:

Sloan [31]3 years ago

7 0

Answer:

x = 58°

Step-by-step explanation:

First, we need to find the green angle on the bottom left of the triangle.

We know that straight lines are supplementary, or equal 180 degrees, so we can say that 114° + a (a variable representing the measure of the angle) = 180°.

Equation:

114 + a = 180

Solve:

114 + a = 180

-114 -114

a = 66

Therefore, the value of the green angle is 66 degrees.

Now, we need to find the value of angle x.

We know that the sum of the angles in a triangle is 180 degrees.

So, 56° + 66° + x = 180°

Equation:

56 + 66 + x = 180

Add:

56 + 66 + x = 180

122 + x = 180

Subtract:

122 + x = 180

-122 -122

x = 58

Therefore, x is 58 degrees.

Zigmanuir [339]3 years ago

7 0

Answer:

Step-by-step explanation:

An exterior angle is equal to the two remote interior angles. It would be easier to understand that just by adding the numbers in an equation.

Exterior angle = 114

Remote interior angles = x and 56

exterior angle = sum of x and 56 which are the two remote interior angles.

x + 56 = 114 Subtract 56 from both sides.

x+56-56=114-56

x = 58

You might be interested in

If a diameter intersects a chord of a circle at a perpendicular, what conclusion can be made? The diameter and the chord are con

yarga [219]

Answer:

The chord is bisected ⇒ 3rd answer

Step-by-step explanation:

* Lets revise some facts in the circle to solve the problem

- A chord in a circle is the segments whose endpoints lie on the

circumference of the circle

- A diameter of a circle is a chord passes through the center of the

circle

- The diameter is the longest chord in the circle

- Any line passes through the center of the circle and perpendicular

to a chord on the circle bisects it

* Lets solve the problem

∵ The diameter of the circle passes through the center of the circle

∵ The diameter intersects a chord of a circle at a perpendicular

∴ The diameter is perpendicular to the chord

∵ Any line passes through the center of the circle and perpendicular

to a chord on the circle bisects it

∴ The diameter bisects the chord

* The chord is bisected

8 0

3 years ago

Read 2 more answers

3x + y - z= -6<br> 2x - y + 2z = 8<br> 4x + y - 3z = -21

Flauer [41]

Answer:

x=-1

y=4

z=7

Step-by-step explanation:

3x + y - z= -6(1)

2x - y + 2z = 8(2)

4x + y - 3z = -21(3)

(1)+(2): 5x+z=2(4)

(2)+(3): 6x-z=-13(5)

(4)+(5): 11x=-11

x=-1

so z=2-5x=7

y=-6-3x+z=4

8 0

3 years ago

Solve 6(x+1)3−10=740

Vera_Pavlovna [14]

Answer:

x=122/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6(x+1)(3)−10=740

18x+18+−10=740(Distribute)

(18x)+(18+−10)=740(Combine Like Terms)

18x+8=740

Step 2: Subtract 8 from both sides.

18x+8−8=740−8

18x=732

Step 3: Divide both sides by 18.

18x

732

122

Answer:

x= 122/3

3 0

3 years ago

NEED HELP IMMEDIATELY. I WILL BRAINLIEST. NEED TO SOLVE FOR X INTERCEPT

Kay [80]

Answer:

(1+√7,0),(1−√7,0)

Step-by-step explanation:

You can't factor the expression evenly, so use the quadratic formula.

a = 2

b= -4

c= -12

$\frac{-b+\sqrt{b^{2}-4ac } }{2a}$

$\frac{4+\sqrt{16{}-4(2)(-12)} }{2(2)}$

$\frac{4+\sqrt{16-4(-24)} }{4}$

$\frac{4+\sqrt{16+96} }{4}$

$\frac{4+\sqrt{112} }{4}$

$\sqrt{112} = 4\sqrt{7}$

End result: (1+√7,0),(1−√7,0)

5 0

3 years ago

The number of bacteria in a culture is given by the function n(t) =950e^0.45t Where t is measured in hours A) what is the contin

tatiyna

Answer:

a) The continuous rate of growth of this bacterium population is 45%

b) Initial population of culture at t = 0 is 950 bacteria

c) number of bacterial culture contain at t = 5 is 9013 bacteria

Step-by-step explanation:

The number of bacteria in a culture is given by

n(t) = 950 $e^{0.45t}$

a) rate of growth is

Bacteria growth model N(t) = no $e^{rt}$

Where r is the growth rate

hence r = 0.45

= 45%

b) Initial population of culture at t = 0

n(0) = 950 $e^{0.45(0)}$

= 950 $e^{0}$

= 950 bacteria

c) number of bacterial culture contain at t = 5

n(5) = 950 $e^{0.45(5)}$

= 950 $e^{2.25}$

= 9013.35

= 9013 bacteria

6 0

3 years ago