Which expression is equivalent to: -3a-7a+4b
A: -10a-7+4b
B: -10a+4b
C: -14ab
D: -4a+4b

Given:

A circle is centered on point B.

Points A, C and D lie on its circumference.

If [tex]m\angle ABC[/tex] measures 40°.

To find:

The [tex]m\angle ADC[/tex].

Solution:

Central angle theorem: According to this theorem, the central angle is equal to the twice of inscribed angle on the same intercepted arc.

In the given figure [tex]\angle ABC[/tex] is the central angle and [tex]m\angle ADC[/tex] is the inscribed angle on the same arc AC.

Using central angle theorem, we get

[tex]m\angle ABC=2m\angle ADC[/tex]

[tex]40^\circ=2m\angle ADC[/tex]

[tex]\dfrac{40^\circ}{2}=m\angle ADC[/tex]

[tex]20^\circ=m\angle ADC[/tex]

Therefore, the measure of angle ADC is 20°.

Answer:

A,C

Step-by-step explanation:

Answer:its B. I took the test

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

Let us assume that [tex] \sqrt 3 - \sqrt 5[/tex] is a rational number.

So, it can be expressed in the form of [tex] \frac{p}{q} [/tex] where p and q are integers.

[tex]\therefore \sqrt 3 - \sqrt 5=\frac{p}{q}[/tex]

[tex]\therefore \sqrt 3 =\frac{p}{q}+ \sqrt 5[/tex]

[tex]\therefore \sqrt 3 =\frac{p+q\sqrt 5}{q}[/tex]

Squaring both sides:

[tex] (\sqrt 3) ^2 =\bigg(\frac{p+q\sqrt 5}{q}\bigg ) ^2 [/tex]

[tex]\therefore 3 =\frac{p^2 +5q^2 +2\sqrt 5 pq}{q^2 } [/tex]

[tex]\therefore 3q^2 ={p^2 +5q^2 +2\sqrt 5 pq}[/tex]

[tex]\therefore 0 = p^2 +5q^2 -3q^2 +2\sqrt 5 pq [/tex]

[tex]\therefore - 2\sqrt 5 pq=p^2 +2q^2 [/tex]

[tex]\therefore \sqrt 5 = \bigg (\frac{p^2 +2q^2}{-2pq} \bigg) [/tex]

[tex]\therefore \sqrt 5 = - \bigg(\frac{p^2 +2q^2}{2pq} \bigg) [/tex]

Since, p and q are integers so [tex] - \bigg(\frac{p^2 +2q^2}{2pq} \bigg) [/tex] is rational.

[tex]\therefore \sqrt 5 [/tex] is also rational.

But it contradicts the fact that [tex]\sqrt 5 [/tex] is irrational.

Hence, our assumption that [tex] \sqrt 3 - \sqrt 5[/tex] is rational is wrong.

[tex] \therefore \sqrt 3 - \sqrt 5[/tex] is irrational.

Answer:

C

Step-by-step explanation:

If you count the hours by how much each answer choice is giving you, you will get the answer. (First job is 4 hours and a few mins. Answer choice C is $6 an hour. So 4 times 6 is 24 plus the extra minutes.)

Well, we know that a triangle's angles add up to 180°, so 45 + 35 + x = 180, and x = 100.

The third angle is 100.

Answer:

The measurement of the third angle is 100 degrees.

Step-by-step explanation:

Just add 45 + 35 which equals to 80. Every triangle's angles equal to 180 degrees so subtract 80 from 180. That equals 100 degrees.

Equation: 45+35=80

180-80=100

Hope this helps! :)

Answer:

multiply 3x by x then multiply 8 by 6 and get 48. since 8 and 6 are products of 48 they give a sum of 14 therefore your trinomial is

3x²+14x+48

Step-by-step explanation:

It's a question of trigonometry.

You need to remember that tangent (tan) stands for Perpendicular / Base.

So, tan P = QR / PR

By Pythagoras Theorem,

34² = 30² + x²

x² = 34² - 30²

x² = 1156 - 900

x² = 256

x = 16

Now, placing the values,

tan P = 30 / 16

tan P = 1.875

HOPE IT HELPS ^_^

Answer:

The answer to number 7 is x=4

Answer:

hey, what is your question?

Step-by-step explanation:

Answer:

wheres the question

Step-by-step explanation:

Answer:

x=14

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

2(x - 9) = 10

2x - 18 = 10

add 18 o each side of the equation:

2x = 28

divide both sides by 2:

x = 14

Answer:

A, C and D

Step-by-step explanation:

B is left out because the hypotenuse of 1 and 2 will be appx 2.24 but the rest are good to go

Answer:

30 cubes

Step-by-step explanation:

10 x 4 x 6 = 240 in³

2 x 2 x 2 = 8 in³

240/8 = 30 cubes

Answer:

I believe 240

Step-by-step explanation:

Since ur multtiplying

10 times 4 times 6 you get 240

Answer:

Mean=19.5

Step-by-step explanation:

Mean= (16x1 + 17x4 + 19x4 + 21x1 + 22x2 + 23x1 + 25x1)/14=273/14=19.5

Answer:

There is no circle

Step-by-step explanation:

If you post the circle, I will help

Make sure to attach a file of the photo (Please no links)

Answer:

It would be 1/2

Step-by-step explanation:

y = (1/2)x has the format y = kx, where k is the const. of prop.  In this particular case that const. of prop. is (1/2).

Answer:

12x = 17

Step-by-step explanation:

So, this is a standard variable equation, so a number (I did x because I'm basic) times, multiplied by, whatever 12 = 72

So a number times 12 is 72 = 12x = 17

Now, if you wanted to actually solve this equation, you just have to do inverse operations:

17 ÷ 12 = 1.4167 (rounded)

So x = 1.4167

hope this helps:)

Answer:

It is B. 3 square units, i took the test and got a 100%

Step-by-step explanation:

edge2021

The area of the triangle on a coordinate plane is 3 square units option (B) 3 square units is correct.

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a triangle on a coordinate plane shown in the picture.

Triangle ABC has vertices A, B, and C at  (0, 0), (3, 4), and (3, 2).

As we know, the area of the triangle is given by:

Area = (1/2)heightxbase length

Or

Area = (1/2)ADxBC

Area = (1/2)3x2

Area = (6/2)

Area = 3 square units

Thus, the area of the triangle on a coordinate plane is 3 square units option (B) 3 square units is correct.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ5

Answer: 13

Step-by-step explanation:

-6 + 7k = -7(1 - k)

(-7 x -1 = 7)

(-7 x -k = 7)

-6 +7k = 7+7k

7k-7k = 6+7

k = 13

( 0 always equals to the pronumeral given

Answer:

28 - 3h

Step-by-step explanation:

We must do the work seen inside parentheses first.

Thus, we havve 4(7) - 3h, which simplifies to

28 - 3h

Answer:

z = 13/20

Step-by-step explanation:  

The steps are in the pictures below!

Answer:

264,319

Step-by-step explanation:

A difference is a subtraction problem.

Subtract 214,991 from 479,310.

479,310 - 214,991 = 264,319

Answer:

Step-by-step explanation:

x=−10, y=−3

x=10, y=7

y=7,x=10

y=−3,x=−10

Answer:

whats the question?

Step-by-step explanation:

Answer:

Angle 7 = 56 °

Step-by-step explanation:

Angles 8 and 7 = 180 degrees

To get the degree of angle 7 subtract 124 from 180

180 - 124 = 56 degrees

Angle 7 = 56 degrees

Answer:

x=35

Step-by-step explanation:

3x+3=108

3x=108-3

3x= 105

x= 105/3

x=35

Answer:

The answer is B.

Step-by-step explanation:

You can solve this problem by plugging in 2 for x in the given equations.

2(2) - 3 = 19 is false

3(2) + 2 = 8 is true

4(2) - 4 = -4 is false

5(2) + 1 = 10 is false

Answer:

x>10

Step-by-step explanation:

x-3>7

x>7+3

x>10

(When switiching sides, you do the opposite operation hence you add 3 when it goes onto the other side)

Hope it helps!

Answer:

x > 10

Step-by-step explanation:

x - 3 > 7

 + 3  +3

x > 10