Find the measure of angle C of △ABC, if:
m∠A=60°+α, m∠B=60°−α.

Answer:

below

Step-by-step explanation:

[tex]x.4 ( x-4) = 36 \\[/tex]

[tex]4x(x-4) = 36 \\[/tex]

[tex]4x^{2} - 16x = 36[/tex]

add -36 to both sides

[tex]4x^{2} - 16x - 36 = 36 -36 \\4x^{2} -16x - 36 = 0[/tex]

divide both sides by 2

[tex]\frac{4x^{2} - 16x - 36 }{4} = 0/4[/tex]

[tex]x^{2} -4x-9 = 0[/tex]

This is a quadratic equation

let's solve it by  graphing it

The solution are the x-coordinates of the intersection points

The x-coordinates of the intersection points are approximatively -1.6 and 5.6

Answer:

15 and 24

Step-by-step explanation:

distribute the -1 to the -15 amd it will cancel out same for the other

Answer:

A) ∠ABD is a right angle.

E) m∠ABD = 90°

Step-by-step explanation:

just took the test

∠ABD is a right angle and ∠ABD = 90° will be correct for the given angles.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

The angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

Given that,

Angle A B D is a right angle.

The right angle is a 90-degree angle.

So,

m∠ABD = 90°

Hence "∠ABD is a right angle and ∠ABD = 90° will be correct for the given angles".

For more about the angle,

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Answer:

using distance formula =√(5-3)sq+(1-4)sq

=√4+9

=√13

Step-by-step explanation:

Answer:

False because the A does not have a dot on it.

Answer:

x = 7

Step-by-step explanation:

5x - 4 = 3x + 10

Combine Like Terms

2x = 14

Divide

x = 7

Answer:

f(-2) = 21

Step-by-step explanation:

Step 1: Define

f(x) = 3x² - 4x + 1

f(-2) is x = -2

Step 2: Substitute and Evaluate

f(-2) = 3(-2)² - 4(-2) + 1

f(-2) = 3(4) + 8 + 1

f(-2) = 12 + 9

f(-2) = 21

Answer:

x = 17

Step-by-step explanation:

The two indicated angles are corresponding and congruent, thus

11x - 31 = 8x + 20 ( subtract 8x from both sides )

3x - 31 = 20 ( add 31 to both sides )

3x = 51 ( divide both sides by 3 )

x = 17

Answer:

the answer is number 4 17

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

3(-4)^2 + 2(-4)

3(16) - 8

48-8

40

Answer:

Step-by-step explanation:

This is an arithmetic sequence, in which a set number is added to the previous term to get the next term. The number added is figured out by subtracting the 1st term from the 2nd term and the 2nd term from the 3rd term.

Now that we know the number is 3, we can complete the sequence:

4, 7, 10, 13, 16, 19, 22

We will add all the terms up to get 91.

Answer:

A: 2x-1

Step-by-step explanation:

Graph it. if you plug in the x and y of (1,1)

1= 2(1)-1

1=2-1

correct

Answer: A

Step-by-step explanation:

Since we are given the slope, all we have to do is use the given point to find the y-intercept.

y=2x+b                 [plug in (1,1)]

1=2(1)+b                [multiply]

1=2+b                   [subtract both sides by 2]

b=-1

Now, we know the equation is y=2x-1.

Answer:

42

Step-by-step explanation:

The product of the prime factors of 1764 is

1764 = 2² × 3² × 7² , thus

[tex]\sqrt{1764}[/tex]

= [tex]\sqrt{2^{2}(3^{2} )(7^{2} ) }[/tex]

= [tex]\sqrt{2^{2} }[/tex] × [tex]\sqrt{3^{2} }[/tex] × [tex]\sqrt{7^{2} }[/tex]

= 2 × 3 × 7

= 42

Answer:

[tex]\huge\boxed{\sf 4\frac{1}{8} }[/tex]

Step-by-step explanation:

[tex]\sf =\frac{5}{8} - (-\frac{7}{2} )\\\\Rule : ( - *- = +)\\\\\=\frac{5}{8} +\frac{7}{2} \\\\LCM = 8\\\\\=\frac{5+28}{8} \\\\\=\frac{33}{8} \\\\=4\frac{1}{8}[/tex]

[tex]\sf =\frac{5}{8}+ \frac{7}{2} \\\\=\frac{5+28}{8}[/tex]

[tex]\sf =\frac{33}{8} \\\\=4\frac{1}{8}[/tex]

Hope this helped!

Given:

Coordinates of point C are (-3,6).

Point B(0,5.5) is the midpoint of AC.

To find:

The coordinates of A.

Solution:

Let the coordinates of point A are (a,b).

Formula for midpoint:

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

Using the above formula, the midpoint of A(a,b) and C(-3,6) is

[tex]B=\left(\dfrac{a+(-3)}{2},\dfrac{b+6}{2}\right)[/tex]

[tex](0,5.5)=\left(\dfrac{a-3}{2},\dfrac{b+6}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{a-3}{2}=0[/tex]

[tex]a-3=0[/tex]

[tex]a=3[/tex]

and,

[tex]\dfrac{b+6}{2}=5.5[/tex]

[tex]b+6=11[/tex]

[tex]b=11-6[/tex]

[tex]b=5[/tex]

Therefore, the coordinates of point A are (3,5).

Answer:

no as the answer would be a decimal

Step-by-step explanation:

an easier way to know is to add up all the digits

3 + 9+0 +5+2= 19 and if that number is a multiple of 3 then it will be divisible by 3

this works for any number that should be divided by 3

example

is 2345 divisible by 3

2+3+4+5 =14 so no it is not divisible by 3

example

is 12345 divisible by 3

1+2+3+4+5 =15 so yes it is divisible by 3

hope this helps

pls can u help me with my most recent question pls and thx

Answer:

$29.25

Step-by-step explanation:

The Price of the share of stock at the end of Friday would be; $29.25. the correct option is B. $29.25.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Let the integers loss is represented by negative integers whereas profit is represented by positive numbers.

Given, Beginning price =  $24.75

Over the next 5 days,

On Monday, gain of  $2.50 represented by; + $2.50.

On Tuesday, loss of $3.25 represented by; - $3.25 .

On Wednesday,  loss of $0.75 represented by; - $0.75.

On Thursday, gain of $1.25 represented by ;+ $1.25.

On Friday, gain of $4.75 represented by; + $4.75.

The Price of the share of stock at the end of Friday would be;

= (Beginning price)+ ( + $2.50 - $3.25- $0.75+ $1.25+ $4.75)

= $( 24.75 + 2.50 -3.25 -0.75 +1.25 +4.75)

= $29.25

Hence, The Price of the share of stock at the end of Friday would be; $29.25. the correct option is B. $29.25.

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Step-by-step explanation:

2 · c - 5 · 2 - 3 = 2c - 10 - 3

2c - 10 - 3 = 2c - 7

Answer:

$19.13

Step-by-step explanation:

18 + 6.25 is 19.125 and you would round that to 19.13 as your total

Answer:

13.5 ounces of silver is worth $272.16

Step-by-step explanation:

since it is $20.16 per ounce, simply multiply 20.16 and 13.5 to get 272.16

Step-by-step explanation:

Times 20.16 by 13.5 and you will get 272.16

Answer: Its -10 :)

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

on edge it works

Answer:

900 grams of flour 150x6=900

3 eggs 450/150=3

Answer:

[tex]\sqrt{2}/2[/tex]

Step-by-step explanation:

Making a unit circle will be very helpful if you don't already have one. You will use it for years to come.

Answer:

y = 1.68x

Step-by-step explanation:

The markup rate of a product or service refers to how higher the selling price is than the total production cost. In this case, this company doesn't produce the bikes, instead it purchases them from a wholesaler, distributor or even the factory, and then resells them in order to make a profit.

E.g. Beach Bicycles purchases two-seater bikes at $200 each, and then it will resell them to their customers at 1.68 x $200 = $336. The total markup in this example is $136, which represents $136/$200 = 68% of the purchase price.

Answer:

i would like to say yes.

Step-by-step explanation:

Answer: 40 chocolates

Step-by-step explanation: