10 points please help fast

Answer:

∠7 = 85°

Step-by-step explanation:

∠1 = 180 - 115 = 65°              Because they are supplementary angles

∠2 = 180 - 65 - 85 = 30°      Because the sum of all interior angles in a triangle

                                             equals 180°

∠3 = 90°                               given

∠6 = 180 - 90 - 30 = 60°      Because they are supplementary angles

∠4 = 180 - 155 = 25°             Because they are supplementary angles

∠5 = 180 - 25 - 60 = 95°      Because the sum of all interior angles in a

                                             triangle equals 180°

∠7 = 180 - 95 = 85°              Because they are supplementary angles

The denominator of the first term is a difference of squares, such that

4a ² - b ² = (2a)² - b ² = (2a - b) (2a + b)

So you can write the fractions as

(4a ² + b ²)/((2a - b) (2a + b)) - (2a - b)/(2a + b)

Multiply through the second fraction by 2a - b to get a common denominator:

(4a ² + b ²)/((2a - b) (2a + b)) - (2a - b)²/((2a + b) (2a - b))

((4a ² + b ²) - (2a - b)²) / ((2a - b) (2a + b))

Expand the numerator:

(4a ² + b ²) - (2a - b)²

(4a ² + b ²) - (4a ² - 4ab + b ²)

4ab

So the original expression reduces to

4ab / ((2a - b) (2a + b))

or

4ab / (4a ² - b ²)

upon condensing the denominator again.

Answer:

Step-by-step explanation:

(+5) + (+2) = +7

If both numbers have same sign, add and the result will have the common sign

v) (-5) + (-2) = (-7)

Both numbers have 'negative sign'. So, add and the result will have the 'negative sign'

Viii) (+6) + (-3) = +3

Both numbers have different sign. So, subtract and the result will have the sign of the bigger number. Here the bigger number is '6' and its sign is 'positive'. so, the result will have positive sign

xi) (-4) + (+8) = +4

Both numbers have different sign. So, subtract and the result will have the sign of the bigger number. Here the bigger number is '8' and its sign is 'positive'. so, the result will have positive sign

Answer:

the answer is false because congruent mean 3 equal sides

Answer:

sin26=11/X

0.438371146789×x=11

X. = 11/0.438371146789

X=25.09289235975

Answer:

187

Step-by-step explanation:

Answer:

Its E.(3 × 4) + 1 × (2 × 5) + 3.

All the correct expressions that could be used to find the volume of the hamster house are,

⇒ (1 × 3 × 4) + (6 × 3 × 2)

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

One rectangular prism has a length of 1 foot, width of 3 feet and height of 4 feet.

And, The second rectangular prism has a length as 6 feet, width as 3 feet and height as 2 feet.

Hence, Volume of first rectangular prism is,

⇒ 1 × 3 × 4

And,  Volume of second rectangular prism is,

⇒ 6 × 3 × 2

Thus, All the correct expressions that could be used to find the volume of the hamster house are,

⇒ (1 × 3 × 4) + (6 × 3 × 2)

Learn more about the rectangle visit:

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The answer is number C

:)

9514 1404 393

Answer:

  138°

Step-by-step explanation:

The measure of arc ABC is the measure of the corresponding central angle, ∠ANC. That angle is shown as 138°, so the measure of arc ABC is 138°.

Measure of an angle  ABC is 111 degrees i.e. [tex]m[/tex]∠ABC = 111 degrees.

The angle subtended by an arc at the center of the circle is double the angle subtended by the same arc at the circumference of the circle.

According to the given question

The angle subtended at the center of circle, i.e. ∠ANC = 138 degrees.

The exterior angle at the center is (360 - 138)degrees = 222 degrees

by angle subtended by an Arc of a circle theorem

[tex]m[/tex]∠ABC = [tex]\frac{222}{2}[/tex] [tex]= 111 degrees[/tex]

Hence, [tex]m[/tex]∠ABC = 111 degrees.

Learn more about angle subtended at the center of circle theorem here:

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Answer:

77 5/8

Step-by-step explanation:

a) Multiply the whole number 6 by the denominator 4. Whole number 6 equally 6 * 4/4

= 24/4

b) Add the answer from the previous step 24 to the numerator 3. New numerator is 24 + 3 = 27

c) Write a previous answer (new numerator 27) over the denominator 4.

Conversion a decimal number to a fraction: -11.5 = -115/10

= -23/2

a) Write down the decimal -11.5 divided by 1: -11.5 = -11.5/1

b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

-11.5/1

= -115/10

c) Simplify and reduce the fraction

-115/10

= -23 * 5/2*5

= -23 * 5/2*5

= -23/2

Multiple: 27/4

* (-11.5) = 27 · (-23)/4 times5

= -621/8

Answer:

0(2+14x)+6(6+8x)

Step-by-step explanation:

Answer:

Commission is $45.00

Weekly salary was $150.00 + $45.00

She earned $195.00 for her paycheck

Step-by-step explanation:

Answer:

3×81^x=9^{x+4}

since power of no is multiplied to its remaining power

3×3^4x=3^2{x+4}

if there is like terms then power is added

3^{1+4x}=3^{2x+8}

if there is like terms then power can be compared

so{1+4x}={2x+8}

1+4x=2x+8

4x-2x=8-1

2x=7

x=7/2 is your answer

Answer:

(7,0) ---> (x = 7) and (y = 0)

Step-by-step explanation:

2x – 9y = 14

x= -6y +7     <-- (Substitute for x to above equation)

---------------------------------------------------------------------------------------------------------

2(-6y +7)– 9y = 14

-12y + 14 - 9y = 14    <-- combine like terms

-21y + 14 = 14  

        -14 = -14   <-- inverse operation on both sides

      -21y = 0     <-- Divide

          y = 0  <--- Substitute for y to get x  ↓

-------------------------------------------------------------------------------------------------------

2x – 9y = 14

2x – 9(0) = 14     <-- Substituted y from above

          2x = 14     <-- Divide

            x = 7

Answer:

x = 15/[tex]\sqrt{3}[/tex] and y = 30/[tex]\sqrt{3}[/tex]

Step-by-step explanation:

I just used this trick I remembered from Honors Geometry. I am now in Honors Algebra II w/ Trig. So this trick is what is used for 30-60-90 special right triangles

Answer:

the slope would be 2x

Step-by-step explanation:

Whenever you're given an equation y=mx+b, "mx" is what represents the slope whilst "b" represents the y-intercept  

Answer:

c

Step-by-step explanation:

give me time will think and say

Answer:

The new Yorker is a very different kind than the word

Answer:

1.2)60-35=25

therefore there are 25 boys in the class

1.2)35/60×100=58.333%

1.3)35:25

7 : 5

Answer:

C

Step-by-step explanation:

It passes the vertical line test

the vertical line test is taking a vertical line and putting it anywhere on the graph, and if it passes 2 points, it fails, and since if you put the line anywhere, it only passes one point of the parabala, so it passes the line test

Answer: C

Step-by-step explanation: The easiest way to determine if a

relation is a function is to use the vertical line test.

The vertical line test tells us that if we can draw a vertical line

that intersects more than one point on the graph of a relation,

then the relation is not a function.

However, in this case, notice that there is no way to draw a

vertical line that intersects more than one point on the graph.

Therefore, this relation must be a function.

Answer:

With a z score of 1.75, mean of 28 and standard deviation of 8

1.75=(Xi-28)/8

14=(Xi-28)

42 = Xi

Kurt was on the treadmill for 42 minutes

Step-by-step explanation:

Answer:

$4 off

New price is $36

Step-by-step explanation:

Answer:

$4 discount.

$36 new price.

Step-by-step explanation:

40 x .10= 4

40- 4= 36

Answer:

i think 220

Step-by-step explanation:

because if he swim 250 then 30 less it would be 220

Answer:

First number = 75.5

Second number = 45.5

9514 1404 393

Answer:

  x ≈ 136.7 ft

Step-by-step explanation:

As you have marked, the relevant sides are the adjacent side and the hypotenuse. The mnemonic SOH CAH TOA reminds you ...

  Cos = Adjacent/Hypotenuse

For this triangle, that means ...

  cos(43°) = (100 ft)/x

  x = (100 ft)/cos(43°) . . . . . . . . . . multiply both sides by x/cos(43°)

  x ≈ 136.73 ft

The length x is about 136.7 feet.

Answer:

Step-by-step explanation:

True