a quadrilateral has angles measuring 56 degrees, 78 degrees, and 90 degrees. how large is the missing angle?

Answer:

60 miles

Step-by-step explanation:

Ashok and Brian are both walking east along the same path; Ashok walks at a faster constant speed than does Brian. If Brian starts 30 miles east of Ashok and both begin walking at the same time, how many miles will Brian walk before Ashok catches up with him?

Statement 1. Brian’s walking speed is twice the difference between Ashok’s walking speed and his own

Statement 2. If Ashok’s walking speed were five times as great, it would be three times the sum of his and Brian’s actual walking speeds

Solution

A. Brian’s walking speed is twice the difference between Ashok’s walking speed and his own.

Let Brian speed=b

Ashok speed=a

Brian's walking speed=2(a-b)

b=2(a-b)

Divide both sides by 2

b/2=a-b

Ashok catches up in (time)= distance /( relative rate

=30/(a-b)

=30/(b/2)

=30÷b/2

=30*2/b

=60/b.

By that time Brian will cover a distance of

distance=rate*time

=b*60/b

=2(a-b)*60/2(a-b)

=60 miles

(2) If Ashok’s walking speed were five times as great, it would be three times the sum of his and Brian’s actual walking speeds.

5a=3(a+b)

5a=3a+3b

5a-3a=3b

2a=3b

Answer:

e=9.14

Step-by-step explanation:

e²=a²+b²-2abcosФ

e²=36+25-2(30)cos112

e=√36+25-2(30)cos112

e=9.14

Answer:

y = StartFraction 5 Over 9 EndFraction

y=5/9

Step-by-step explanation:

Given:

x+6y=20

-x+3y=-15

x+6y=20. (1)

-x+3y=-15 (2)

From (1)

x=20-6y

Substitute x=20-6y into (2)

-x+3y=-15

-(20-6y)+3y = -15

-20+6y+3y = -15

9y=-15+20

9y=5

Divide both sides by 9

9y/9=5/9

y=5/9

y = StartFraction 5 Over 9 EndFraction

Answer:

y=-5/9

Step-by-step explanation:

9y=-5

---------- Divided by 9

9      9  

Y is equal to negative five over 9

Have a good day and stay safe!

Answer:

y = -2/3x + 4

Step-by-step explanation:

In an equation that represents a line, the number with which no variable is multiplied is the y-intercept.

The number with which "x" is multiplied is the slope.

So in this case, the slope is -2/3; so the equation should be like -2/3x.

The y-intercept is 4, so it is the number with which no variable is multiplied.

So the equation is:

=> y = -2/3x + 4

Answer:

Step-by-step explanation:

to decrease a number by 40% i would do

100% = number you got

50% divide by 2

10%= dived 100% number by 10 then take the 10% away from the 50% to get 40%

then take the 40% away from the 100%

hope this helps :)

Answer:

[tex]\boxed{m<RUS = 65 \ degrees}\\\boxed{m<STU = 90 \ degrees}[/tex]

Step-by-step explanation:

Given that RU = 50°, So Central Angle ROU = 50° too because the measure of arc is equal to its central angle

Now, Let's assume a triangle ROU. It is an isosceles triangle since RO = RU (Radii of the same circle)

So,

∠ORU ≅ ∠OUR (Angles opposite to equal sides are equal)

So, we can write them as 2(∠RUO)

So,

2(∠RUO)+50 = 180 (Interior angles of a triangle add up to 180)

2(∠RUO) = 180-50

2(∠RUO) = 130

Dividing both sides by 2

∠RUO = 130/2

∠RUO = 65 degrees

m∠RUS = 65 degrees  (Both are the same)

In a semi circle (Given that SU is a diameter) , there must be a 90 degrees angle sin it opposite to the diameter.

So,

m∠STU = 90 degrees

From the diagram of circle k(O), m∠RUS = 65° and m∠STU = 90°

Given that:

m∠ORU = m∠OUR (isosceles triangle)

m∠ORU + m∠OUR + m∠ROU = 180° (angle in triangle)

50 + 2 * m∠OUR = 180

m∠OUR = 65°

m∠OUR =  m∠RUS = 65°

m∠STU = 90° (angle subtended at circumference by semicircle).

From the diagram of circle k(O), m∠RUS = 65° and m∠STU = 90°

Find out more on circle theorems at: https://brainly.com/question/17023621

I hope this helps you

Answer:

     g(x) = x^2/16

Step-by-step explanation:

To stretch a function horizontally by a factor of k, replace x with x/k.

You want a stretch factor of 4, so your function is ...

  g(x) = f(x/4) = (x/4)^2

  g(x) = x^2/16

__

The attached graph shows the horizontal stretch.

Answer:

It will be compressed vertically

Step-by-step explanation:

y = Cf(x) 0 < C < 1 compresses it in the y-direction

Since we are multiplying by 1/4 it will compress it by 1/4 in the y direction

Answer:

When you multiply the whole function by a constant, which can be identified as "C", you can have the following situations:

- If  the function is stretched.

- - If  the function is compressed.

You have that 0<1/4<1

Therefore, you can conclude that be compressed vertically.

Step-by-step explanation:

The given function is f (x) = x²

The new function is f 1 (x) = 1/4 x².

The general function of the form is f(x) = a · x²

i) If |a| < 1   the graph is compressed vertically by a factor of a.

ii)  If |a| > 1  the graph is stretched vertically by a factor of a.

Here:  a = 1/4 < 1

Answer:

                [tex]8\frac23\ cm^2[/tex]

Step-by-step explanation:

sector of the circle if the angle at the center is 150° means  [tex]\frac{150^o}{360^o}[/tex] of full circle of given radius

area of a circle of given radius R is:  πR²

so area of given sector:

[tex]A=\dfrac{150^o}{360^o}\cdot \pi\cdot8^2=\dfrac5{12}\cdot3.1\cdot64=82,(6)=8\frac23\ cm^2[/tex]

The area of a sector of the circle if the angle at the center is 150° is 82.67 square centimeter.

A circle is a locus of a point whose distance always remains constant from a given specific point. The general equation is -

x² + y² = r²      (for circle centered at origin)

Given is a circle has a radius of 8 cm.

The area of the sector subtending the angle 150° at center is -

A = (150/360) x 3.1 x 8 x 8

A = 82.67 square centimeter.

Therefore, the area of a sector of the circle if the angle at the center is 150° is 82.67 square centimeter.

To solve more questions on circles, visit the link below-

https://brainly.com/question/17006280

#SPJ5

Answer:

-3x

Step-by-step explanation:

-3 is the coefficient and x is the variable.  

Answer:

D

Step-by-step explanation:

You know that you have to find y, so eliminate choice B. She reads 30 per day, which is c, so you will have 30x. She also read 15 pages separately, so the 15 will be added on separately. With this, you get y = 30x + 15.

Answer:

D.

Step-by-step explanation:

Since she already read 15 pages in the bookstore, those 15 pages are constant since she cannot unread those pages. Those pages are the y-intercept of the equation.

Gwen is reading 30 pages per day, so her slope will be 30.

D. y = 30x + 15 will be her equation.

Hope this helps!

Answer: the answer is b(5)

Step-by-step explanation:

To find the third term work backwards and plug it in. That was when you plug the solution of b(n-1) everything fits.

Answer:

b(3)=-16

Step-by-step explanation:

We have to figure out the second term

b(2)=b(1)-7

b(2)=-2-7

b(2)=-9

and now the third one

b(3)=b(2)-7

b(3)=-9-7

b(3)=-16

Answer:

The number of marbles in the first bag=  5  

The number of marbles in the second bag = 15

The number of marbles in the third bag = 10

Step-by-step explanation:

Given that

Total number of marbles= 30

Lets take, the number of marbles in the first bag= x

The number of marbles in the second bag = 3 x

The number of marbles in the third bag = 2 x

Therefore

The total number of marbles = x + 2 x + 3 x = 6 x

6 x = 30

[tex]x=\dfrac{30}{5}[/tex]

x= 6 marbles

We  can say that

The number of marbles in the first bag=  5  

The number of marbles in the second bag = 15

The number of marbles in the third bag = 10

Answer:

60 2/5 x 5 = 60 x 5 + 2/5 x 5

60 x 5 = 300

2/5 x 5 = 2

300 + 2 = 302 so 302 is the answer

302 km for 5 hours

Step-by-step explanation:

Step-by-step explanation:

Km in 1 hour = 60 2/5 = 60.4km

Km in 5 hours = 60.4 x 5 = 302km

Answer:

A. 3x - 2y = 5

Step-by-step explanation:

Given line in the graph has the following properties:

using point (2,3)

m = slope = (y2-y1)/(x2-x1) = (5-2)/(2-0) = 3/2

New line passes through y0(3,2), so use the point-slope form

(y-y0) = m (x-x0)

substitute in value y0(3,2)

y - 2 = (3/2) (x - 3)

multiply by 2 on each side

2y - 4 = 3x - 9

simplify and rearrange

3x - 2y = -4 + 9 =5

3x - 2y = 5

Answer:

HF is 20 m away from the tower which makes it the base of a triangle

tan 30= opp/adj=PF/HF

PF=tan 30°(20)=11.547

tan 50=T F/20 ⇒ T F=20*tan 50= 23.835

PT= T F-PF= 23.835-11.547=12.288 m

b ) the distance from point H to the power is the hypotenuse

cos 50=adj/hyp

hypo(HT)= 20/cos 50=31.114

(HF at a new angle=40)

tan 40=opp/adj = T F/HF

HF=T F/tan40=23.835/tan 40=28.405

Answer:

1,1,3,1,1

Step-by-step explanation:

Answer:

0       1

1        1

2       3

3       1

4       1

Step-by-step explanation:

You would just count how many 0 there are in the set and there are 1 and you would put in by 0. For 1 there are 1, for 2 there are 3, for 3 there are 1, and for 4 there are 1.

Answer:

Point form (2, -1/3   Equation form: x=2, y= -1/3

Step-by-step explanation:

Combine 4/3 and x

Replace all occurrences of y in 4x−6y=10 with 4x/3 -3

Simplify 4x− 6 (4x/3 -3)

Solve for x in the second equation.

Simplify  

4(2) /3−3

Answer:

(A), (C) and (D).

Step-by-step explanation:

An equation will have infinite solutions if both sides of the equal sign are the exact same thing, for instance [tex]4x+4=4x+4[/tex]. (You can test this with any value of x and find that they all work!)

So to find the equations that have infinite solutions, we need to see which have the same exact sides.

[tex]37x-37 = 37x-37[/tex] have the same thing on each side: [tex]37x-37\\[/tex], so this has infinite solutions.

[tex]74x-37 = 74-37[/tex] does not have the same thing on each side, so it doesn’t have infinite solutions (it has 1)

[tex]73x-37 = 73x-37[/tex] has the same thing on each side: [tex]73x-37[/tex], so this has infinite solutions.

And finally, [tex]x-37=x-37[/tex] has the same thing on each side: [tex]x-37[/tex], so it has infinite solutions.

Hope this helped!

Answer:

question is not clear please send clear question

Answer:

664 minutes

Step-by-step explanation:

34 + 49 = 83

83 minutes a day

83 x 8 = 664

Answer:223

Step-by-step explanation:

Answer:

The option B, perfectly gives it to the target, because if you think about it, four less, means 4-, but backwards, and three times, means 3x, and if you put that together, that perfectly matches the one you are looking for. Hope that this would help you!

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

(x + 1)² + (y - 10)² = 4

Step-by-step explanation:

Standard form of the equation of a circle is given by,

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and 'r' is the radius.

In the given question coordinates of the center A are (-1, 10) and radius of the circle is 2 units.

By substituting these values in the formula,

(x + 1)² + (y - 10)² = 2²

(x + 1)² + (y - 10)² = 4

Therefore, standard form of the equation of the given circle is (x + 1)² + (y - 10)² = 4

Answer:

Option C

Step-by-step explanation:

=> [tex]729x^6+y^6[/tex]

=> [tex](9x^2)^3+(y^2)^3[/tex]

Using Formula [tex]a^3+b^3 = (a+b)(a^2-ab+b^2)[/tex]

=> [tex](9x^2+y^2)[(9x^2)^2-(9x^2)(y^2)+(y^2)^2][/tex]

=> [tex](9x^2+y^2)(81x^4-9x^2y^2+y^4)[/tex]

So, these are the two factors of the expression!

Answer:

30 mph

Step-by-step explanation:

let s represent speed and h represent rebound.

Given that s is proportional to h then the equation relating them is

s = kh ← k is the constant of proportion

To find k use the condition s = 20, h = 10, then

20 = 10k ( divide both sides by 10 )

2 = k

s = 2h ← equation of proportionality

When h = 15 , then

s = 2 × 15 = 30 mph

Answer:

-7Q + 6 + 5Q = 15 - 7  Answer: q=−1

p+5+p=3(2+p) Answer: p=−1

(A + 4) + 6A = 2 (2 + 3A) Answer: a=0

Step-by-step explanation:

−7q+6+5q=15−7

Step 1: Simplify both sides of the equation.

−7q+6+5q=15−7

−7q+6+5q=15+−7

(−7q+5q)+(6)=(15+−7)(Combine Like Terms)

−2q+6=8

−2q+6=8

Step 2: Subtract 6 from both sides.

−2q+6−6=8−6

−2q=2

Step 3: Divide both sides by -2.

−2q/−2=2/−2

q=−1

p+5+p=3(2+p)

step 1: Simplify both sides of the equation.

p+5+p=3(2+p)

p+5+p=(3)(2)+(3)(p)(Distribute)

p+5+p=6+3p

(p+p)+(5)=3p+6(Combine Like Terms)

2p+5=3p+6

2p+5=3p+6

Step 2: Subtract 3p from both sides.

2p+5−3p=3p+6−3p

−p+5=6

Step 3: Subtract 5 from both sides.

−p+5−5=6−5

−p=1

Step 4: Divide both sides by -1.

−p/−1=1/−1

p=−1

a+4+6a=2(2+3a)

Step 1: Simplify both sides of the equation.

a+4+6a=2(2+3a)

a+4+6a=(2)(2)+(2)(3a)(Distribute)

a+4+6a=4+6a

(a+6a)+(4)=6a+4(Combine Like Terms)

7a+4=6a+4

7a+4=6a+4

Step 2: Subtract 6a from both sides.

7a+4−6a=6a+4−6a

a+4=4

Step 3: Subtract 4 from both sides.

a+4−4=4−4

a=0

Answer:

A. (-8, 20)

Step-by-step explanation:

The formula for dilations is

[tex]\left(x_{1}\cdot t_{1},\ y_{1}\cdot t_{1}\right)[/tex] Where t is the scale factor

The first step is to plug in the numbers appropriately

[tex](-2*4,5*4)[/tex]

Then, multiply -2 by 4 and 5 by 4 to get

[tex](-8, 20)[/tex]

So your answer is (-8, 20)

Hope this helps

Have a great day! :)

Answer:

Just add 6 to the right side of 3 which will make as 36

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36

Hope it helps u...pls mark as brainliest