all three angles of a triangl add up to 180 degrees. the three angles measuure 75 degrees, 10x degrees, and 5x degrees. write and solve an equation for x. then find the measure of the two unknown angles.

Answer:

d=14

Step-by-step explanation:

1d/6+2/3=1(d-2)/4

Find the L.C.M.

d+4/6=d-2/4

Cross multiply

4d+16=6d-12

Collect like terms

16+12=6d-4d

28=2d

Divide through by the coefficient of d

2d/2=28/2

d=14

Answer:

d = 20

Step-by-step explanation:

1/6*d + 2/3 = 1/4*(d - 2) do the multiplying

d/6 + 2/3 = (d-2)/4 now add fraction

d/6 + 2/3 to add these up we need to multiply 2/3 with 1/2 and it will be 4/6

d/6 + 4/6 = (d+4)/6

(d+4)/6 = (d-2)/4 cross multiply

4d + 16 = 6d - 24 add like terms

16 + 24 = 6d - 4d

40 = 2d divide both sides by 2

20 = d

Answer:

67

Step-by-step explanation:

If you are looking for x, or blank in this case, you add 67 to -67.

this equals 0.

-67+67=0.

Answer:

slope is also known as gradient

here gradient =2/9

Answer:

X=x=−5y/3

y=x=−5y/3

Step-by-step explanation:

2x+y/3⋅1/x−3y=1/3⋅1/2=x=−5y/3

Answer:

x = [tex]\frac{5}{7}[/tex] , y = - [tex]\frac{3}{7}[/tex]

Step-by-step explanation:

Given 2 equal matrices then the corresponding elements in each matrix are equal, then

2x + y = 1 → (1)

x - 3y = 2 → (2)

Multiplying (1) by 3 and adding to (2) will eliminate y

6x + 3y = 3 → (3)

Add (2) and (3) term by term to eliminate y

7x + 0 = 5

7x = 5 ( divide both sides by 7 )

x = [tex]\frac{5}{7}[/tex]

Substitute this value into (1) and evaluate for y

[tex]\frac{10}{7}[/tex] + y = 1 ( subtract [tex]\frac{10}{7}[/tex] from both sides )

y = [tex]\frac{7}{7}[/tex] - [tex]\frac{10}{7}[/tex] = - [tex]\frac{3}{7}[/tex]

Answer:

the coeficient

Step-by-step explanation:

Hi there!  

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I believe your answer is:

A coefficient.

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Here’s why:  

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Hope this helps you. I apologize if it’s incorrect.  

Answer:

x = 14

Step-by-step explanation:

Since the triangles are similar then corresponding sides are in proportion, that is

[tex]\frac{15}{x-4}[/tex] = [tex]\frac{12}{8}[/tex] ( cross- multiply )

12(x - 4) = 120 ( divide both sides by 12 )

x - 4 = 10 ( add 4 to both sides )

x = 14

Answer:

Step-by-step explanation:

There's a small trick here. You have to double the thickness. Why? Because the outside diameter goes through the thickness twice.

Inside diameter = outside diameter - 2 * thickness

outside diameter = 1 1/4 inches

thickness = 5/16

Inside diameter = 1 1/4 - 2 * 5/16

inside diameter = 5/4 - 10/16

Inside diameter = 5/4 - 5/8

Inside diameter = 10/8 - 5/8

Inside diameter = 5/8

Answer:33

Step-by-step explanation:

$50.00-(4. $2.75) = $50.00 - $11.00= $39.00

$39.00 / $1.18 =33

Answer:

33

Step-by-step explanation:

$50.00-(4. $2.75) = $50.00 - $11.00= $39.00

$39.00 / $1.18 =33

Answer:

Step-by-step explanation:

Let the other end point be (a,b)

Then the midpoint p(0,-1) is between the two end points (-1,0) and (a,b)

So

(0,-1) = ( (-1+a)/2 , (0+b)/2)

So we have

0 = (-1 +a) /2

0 = -1 + a

a =1

and

-1 = (0+b)/2

-2 = 0+b

b = -2

So the other end point is ( 1, -2)

Answer:

8x+11=14x_1

14x_8x=11+1

6x=12

x=12/6

x=2

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Given, K is the midpoint of JL. So, JK = KL.

________

JL = JK + KL (given that K is the midpoint of JL)

JL = (8x + 11) + (14x - 1)

________

[tex] \large \boxed{\mathfrak{Steps} \downarrow}[/tex]

[tex] \sf( 8 x + 11 ) + ( 14 x - 1 )[/tex]

Combine 8x and 14x to get 22x.

[tex] \sf \: 22x+11-1 [/tex]

Subtract 1 from 11 to get 10.

[tex] \boxed{ \boxed{ \bf22x+10 }}[/tex]

________

Also given that, JK = KL.

So, (8x + 11) = (14x - 1)

⇨ (8x + 11) = (14x - 1)

⇨ 8x + 11 = 14x - 1

⇨ 11 + 1 = 14x - 8x

⇨ 12 = 6x

⇨ x = 12 / 6

⇨ [tex] \boxed{ \boxed{ \bf \: x= 2 }}[/tex]

________

Now, value of JL will be,

JL = 22x + 10

Substitute the value of x.

JL = 22(2) + 10

JL = 44 + 10

[tex] \boxed{ \boxed{ \bf\: JL = 50 }}[/tex]

⇨ So, the value of JL will be 50 units.

Answer:

[tex]6 \frac{350}{1000}[/tex] Is the answer, if you want it simplified then, [tex]6 \frac{7}{20}[/tex]

Step-by-step explanation:

Answer:

[tex]{ \sf{ \underline{answer \: is \: \: 6 \frac{7}{20} }}}[/tex]

Step-by-step explanation:

Hope you got the idea in previous answer.

[tex]6.350 = \frac{6350}{1000} [/tex]

reduce the fraction by 10:

[tex] = \frac{6350 \div 10}{1000 \div 10} \\ \\ = \frac{635}{100} [/tex]

then reduce it by 5:

[tex] = \frac{635 \div 5}{100 \div 5} \\ \\ = \frac{127}{20} [/tex]

in mixed fraction mode:

[tex] = 6 \frac{7}{20} [/tex]

Answer:

50 pcs

Step-by-step explanation:

say

1000 pcs / $20

so 50 pcs / $

then

$10 * 50 pcs / $ = 500 pcs

Answer:

-24 degrees F

Step-by-step explanation:

12+7+5

if the temperature kept on dropping, then you would have just added them all up.

Hi! I'm happy to help!

To solve this, we first have to understand the terms and the way they arrange the equation.

First, we have the difference of ____and_____=. (the "is" after 4 refers to equals)

We will write this as:

_______-_______= ,because difference means subtraction.

For our first blank, we have 3 times a number. Because we do not know this number, we will use a variable.(n) 3 times a number is 3 multiplied by a number. We can just write 3n, because it represent multiplication.

3n-______=

Now, we see the part of the equation after the "and". We just see 4, so we can insert that here:

3n-4=

Now, we see what is shown after the "is".

We just have -19, so we can insert that here:

3n-4=-19

Now, let's solve (not sure if I need to):

To solve for n, we have to isolate it on one side of the equation. To do this, let's cancel out the -4 on the left side of the equation by adding 4 to both sides:

3n=-15

From here, we need to get rid of the 3 next to the n by dividing both sides by 3:

n=-5

So, we write it as 3n-4=-19, and n=-5.

I hope this was helpful, keep learning! :D

Answer:

31 yards

Step-by-step explanation:

If she has $12.83 left, that means she spent $2.17 out of the $15

15 - 12.83 = 2.17

One cent is .01 of a dollar

So that would be $0.07 per yard

To find the number of yards, we need to divide the total amount she spent by the price per yard.

2.17 ÷ 0.07 = 31

Answer:

-220

Step-by-step explanation:

2,300-1 then we go into the negatives 0- -2,300

so if -5 is further from 0 than -4 that means the larger number is further

Answer: 5

Step-by-step explanation:

The coordinate of the midpoint M = 5

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given below shows a line segment ST, where the length of line segment ST  refers to the distance between its endpoints, S and T.

Given that M is the midpoint of ST

S______________M______________T

A midpoint is defined as in the middle of the line connecting two points a position known as a midpoint. A location in the middle of a line connecting the two points that are equally far from both points is the midpoint.

The endpoints of ST are -15 and 25.

So the midpoint between S and T is given by,

⇒ M = (25 - 15)/2,

⇒ M = 10/2

⇒ M = 5

Hence, the coordinate of the midpoint M = 5

Learn more about the midpoint here :

brainly.com/question/5127660

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Answer:

hahahaha

Step-by-step explanation:

lol

lol

lol

lol

lol

okay

Answer: 1.5 miles per minute

Step-by-step explanation:

The ratio for the hours is 90 Miles : 60 Minutes

Since 1 hour is 60 minutes, then 1 minute is 1/60 of a hour.

So, 1/60 will be the constant.

[tex]\frac{90}{1/60}[/tex]=1.5

These circles are tangent .

Two circles are tangent to each other if they have only one common point. Two circles that have two common points are said to intersect each other. Two circles can be externally tangent if the circles are situated outside one another and internally tangent if one of them is situated inside the other.

According to the question

These circles are :

A > Concentric

This option is incorrect because circle are concentric if and only if they have common center .

B> none of these

This option is incorrect .

C > Tangent

This option is correct as Two circles are tangent to each other if they have only one common point and in the figure there is only one common point between both circles .

D> Congruent

This option is incorrect as this two circles have different size but in congruent both circle should be same size which is not possible here.

Hence, These circles are tangent .

To know more about tangent of two circles here:

https://brainly.com/question/393370

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Answer:

C

Step-by-step explanation:

We want to determine the vertex of the quadratic equation:

[tex]\displaystyle y = -x^2 + 2x + 1[/tex]

Recall that the vertex is given by the formulas:

[tex]\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

In this case, a = -1, b = 2, and c = 1.

Determine the x-coordinate of the vertex:

[tex]\displaystyle x = -\frac{(2)}{2(-1)} = 1[/tex]

To determine the y-coordinate, evaluate the function at x = 1:

[tex]\displaystyle \begin{aligned} y(1)&= -(1)^2 + 2(1) + 1 \\ &= 2\end{aligned}[/tex]

In conclusion, the vertex of the quadratic equation is (1, 2).

Hence, our answer is C.

Answer:

d. 9 4/5

Step-by-step explanation:

5+4=9

1/5+ 3/5=4/5

So then you'll get 9 4/5

x = -2

I hope this helps!

Answer:

6 cm

Step-by-step explanation:

70=29+29+2x

70=58+2x

70-58=2x

12=2x

12/2=x

6=x

Check: 29+29+6+6=70

Answer:

6 centimeters.

Step-by-step explanation:

The equation to find perimeter is P=2L+2W. L is length and W is width.

70=2(29)+2W

70=58+2W

70-58=2W

12=2W

6=w

Answer:

Step-by-step explanation:

Answer:

False.

Step-by-step explanation:

Using the property of distribution, (a + b)² will be a² + b², never a² + b.

No, for any two integers a and b, (a + b)² ≠ a² + b is a false statement.

For the given two integers a and b,

The given expression

(a + b)² = a² + b (false statement)

The correct statement is-

(a + b)² = (a + b)(a + b)

(a + b)² = a² + b² +  2ab

Thus, no, for any two integers a and b, (a + b)² ≠ a² + b.

To know more about the distributive property of multiplication, here

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Answer:

3

Step-by-step explanation:

2

Answer:

it is a function

because when we will draw vertical line . then the line will touch at only one point