If angle 1 and angle 5 are vertical angles and angle 1 equals 55°, then angle 5 will equal _____.

25°
125°
55°
can't be determined

Answer:

x° = 36°, y° = 36°, z° = 72°

Step-by-step explanation:

Each interior angle of a regular polygon is given by the following formula;

Interior angle = (n - 2)×180°/n

Where;

n = The number of sides on the polygon

For the pentagon, we have;

n = 5, therefore;

Interior angle = (5 - 2)×180°/5 = 108°

ΔDCA is an isosceles triangle, with the segments CD and CA being equal, therefore;

∠ADC = ∠DAC = x°, and ∠ACD = 108°

Therefore

x° = (180° - 108°)/2 = 36°

x° = 36°

∠BAC = 2·x° + y° = 108°

∴ y° = 108° - 2·x° = 108° - 2 × 36° = 36°

y° = 36°

ΔADE is an isosceles triangle, with segments AD and AE equal, therefore, the base angles are z° each

Therefore, in ΔADE, we have;

z° = (180° - 36°)/2 = 72°

z° = 72°

Answer:

72

Step-by-step explanation:

mean=average. to get average, you add up the numbers and divide by how many numbers. they add upp to 288 and since theres 4 test grades, divide by 4 to get 72.

i think the answer is 579

Answer:

0/2 0/5 0/10

Step-by-step explanation:

Any legal fraction (denominator not equal to zero) with a numerator equal to zero has an overall value of zero.

Answer:

3 + x < 100

3 + x - 3 < 100 - 3

x < 97

Step-by-step explanation:

Answer:

865

Step-by-step explanation:

the trip is 865 miles so that is how many miles he will drive

Step-by-step explanation:

Angle at center = 2 * Angle at circumference.

Angle MNP = 2 * Angle MQP = 30°.

Hence the angle measure of minor arc MP is 30°.

Answer:

30 degrees

Step-by-step explanation:

arc measure in degrees is twice the measure of the inscribed angle

Answer: 0.643

Step-by-step explanation:

There are 300 people and 193 were female.

The sample portion that is female is therefore;

= 193/300

= 0.643

Answer:

x=3, y=9

Step-by-step explanation:

Mulriplying the first equation by 2 yields -10x+2y=-12.

Subtracting the second equation from this gives -17x=-51, and thus x=3.

Substituting this back into the first equation gives -15+y=-6, and thus y=9.

Answer:

7 and 2

Step-by-step explanation:

i did this before i know

Answer: The rate of change is 2

Step-by-step explanation:

Divide the Y by X for each of them and they all are 2

Answer:

(1.5, -2.5)

Step-by-step explanation:

Mate, I think you best get to studying, plotting coordinates are the fundamentals of algebra and euclidean geometry.

Anyways, (x, y). When you replace the variables, you determine the coordinates are (1.5, -2.5).

Answer:

C, 1.5, -2.5

Step-by-step explanation:

Count the lines between each axis to figure out the coordinates. If the point is in between a line, it is a half.

Answer:

Step-by-step explanation:

I think you have the question incomplete, and that this is the complete question

sin^4a + cos^4a = 1 - 2sin^2a.cos^2a

To do this, we can start my mirroring the equation.

x² + y² = (x + y)² - 2xy,

This helps us break down the power from 4 to 2, so that we have

(sin²a)² + (cos²a)² = (sin²a + cos²a) ² - 2(sin²a) (cos²a)

Recall from identity that

Sin²Φ + cos²Φ = 1, so therefore

(sin²a)² + (cos²a)² = 1² - 2(sin²a) (cos²a)

On expanding the power and the brackets, we find that we have the equation proved.

sin^4a + cos^4a = 1 - 2sin^2a.cos^2a

Answer:

B

Step-by-step explanation:

The Answer is 1/5 and 5

Answer:

25/6 = 4 1/6

Step-by-step explanation:

what you do is 5/6 times 5 i am pretty sure this is right

Answer:

B. 4 1/6

Step-by-step explanation:

1. Identify your key factors:

Terrance: 5

Brother: 5/6

2. Let's make them both fractions:

T: 30/6  B: 5/6

3. Now subtract the difference:

30/6-5/6

25/6

4. Simplify:

4 1/6

Answer:

D

Step-by-step explanation:

all should add up to 180

Answer:

E. 70°, 60°, 40°​        D. 75°, 50, 100        C. 50°, 50°, 100°

Step-by-step explanation:

If you add the three degrees together, they all should equal 180 degrees.

Hope this helped :)

Answer:

no

Step-by-step explanation:

it has no number behind it so it is just 12 which is a integer

Answer:

Amelia is correct.

According to Google, an integer is a whole number, not a fraction. Therefore, she is correct.

Answer:

a. han did not divide -10x by 4

b. y intercept:5, x intercept:2

Step-by-step explanation:x

reason for b: you can graph y=-[tex]\frac{5}{2}[/tex]x+5 to get the y and x intercept

Answer:

f^-1(x) = 1/4 x - 5/4

Step-by-step explanation:

f(x) = 4x + 5

y = 4x + 5

x = 4y + 5

4y = x - 5

y = 1/4 x - 5/4

f^-1(x) = 1/4 x - 5/4

Answer:

4.42 is the answer........

Step-by-step explanation:

Im not sure

Answer: I think it is (D)

Step-by-step explanation: Its hard to explain but I hope this helps anyways!

Answer:

I think its D to so I would go with that

Answer:

the number is 1

Step-by-step explanation:

4(7n-n)=24

28n-4n=24

24n=24

n=1

Answer:

the answer is c

Step-by-step explanation:

Answer:

1/2k+2=5+5/6k

-3 = 5/6k-1/2k

-3=2/6k

k= -9

Final Answer: [tex]k = -9[/tex]

Steps/Reasons/Explanation:

Question: Solve the equation [tex]\frac{1}{2} k + 2 = 5 + \frac{5}{6}k[/tex]. Please select the best answer from the choices provided​.

[tex]a.[/tex] [tex]2\frac{1}{4}[/tex]

[tex]b.[/tex] [tex]-9[/tex]

[tex]c.[/tex] [tex]9[/tex]

[tex]d.[/tex] [tex]-21[/tex]

Step 1: Simplify [tex]\frac{1}{2}k[/tex] to [tex]\frac{k}{2}[/tex].

[tex]\frac{k}{2} + 2 = 5 + \frac{5}{6}k[/tex]

Step 2: Simplify [tex]\frac{5}{6}k[/tex] to [tex]\frac{5k}{6}[/tex].

[tex]\frac{k}{2} + 2 = 5 + \frac{5k}{6}[/tex]

Step 3: Multiply both sides by [tex]6[/tex] (the LCM of [tex]2, 6[/tex]).

[tex]3k + 12 = 30 + 5k[/tex]

Step 4: Subtract [tex]3k[/tex] from both sides.

[tex]12 = 30 + 5k - 3k[/tex]

Step 5: Simplify [tex]30 + 5k - 3k[/tex] to [tex]30 + 2k[/tex].

[tex]12 = 30 + 2k[/tex]

Step 6: Subtract [tex]30[/tex] from both sides.

[tex]12 - 30 = 2k[/tex]

Step 7: Simplify [tex]12 - 30[/tex] to [tex]-18[/tex].

[tex]-18 = 2k[/tex]

Step 8: Divide both sides by [tex]2[/tex].

[tex]-\frac{18}{2} = k[/tex]

Step 9: Simplify [tex]-\frac{18}{2}[/tex] to [tex]-9[/tex].

[tex]-9 = k[/tex]

Step 10: Switch sides.

[tex]k = -9[/tex]

~I hope I helped you :)~

Answer:

The measure of GJk is 95°

measure of angle HJG is 85

Step-by-step explanation:

45+50= 95

180-95= 85