Mathematics High School

4
A, B & C lie on a straight line.
D, C & E lie on a different straight line.
Angle
y
= 101° and angle
z
= 52°.
Work out
x
, explaining each stage of your working in the comment box.

4A, B & C Lie On A Straight Line. D, C & E Lie On A Different Straight Line.Angle Y = 101 And

Answers

Answer 1

Answer:

X=131°

Step-by-step explanation:

y= 101°

z= 52°

X= ?

BCD is a ∆

therefore y= Z + BCD angle (exterior angle of a ∆ is equal to the sum of opposite interior Angles)

angle BCD= y-z

= 101°-52°

=49°

also X= 180°- angle BCD (sum of angles on a straight line)

X= 180°-49°

X= 131°

Answer 2

Answer:

x = 131°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

y is an exterior angle of the triangle, then

∠ DCB + z = y , that is

∠ DCB + 52 = 101 ( subtract 52 from both sides )

∠ DCB = 49°

∠ DCB and x are adjacent angles and sum to 180°

∠ DCB + x = 180

49° + x = 180° ( subtract 49° from both sides )

x = 131°

Related Questions

Find the value of r.

Answers

Answer:

3.75

Step-by-step explanation:

i got you

Step-by-step explanation:

root under 45 is the value of r

An angle measures 14º more than the measure of its supplementary angle.
What is the measure of each angle?
T

Answers

Answer:

83 and 97

Step-by-step explanation:

Supplementary angles are two angles with a sum of 180 ∘

small angle = x

large angle = x+14

x + (x+14) = 180

2x +14 = 180

2x= 166

x = 83

large = 83 +14 = 97

    83+97 = 180

-8k-3-2k+7 need help asap

Answers

Answer:

-8k-3-2k+7

-10k+4

how to simplify?

(look for like terms)

i need the answer for this problem

Answers

Answer:

1.8x10^-4

Step-by-step explanation:

I did it by the calculator

Here are the city gas mileages for 13 different midsized cars in 2008. 16, 15, 22, 21, 24, 19, 20, 20, 21, 27, 18, 21, 48 What is the first quartile?​

Answers

Answer:

Q1 --> 18.5

Step-by-step explanation:

Plz help ASAP this is due tomorrow

Answers

Step-by-step explanation:

volume = ⅓×3×3×5

= 3×5

= 15 m³ (D)

Find the value of x.

X=

Answers

Answer:

x = 65

Step-by-step explanation:

The opposite angles of a cyclic quadrilateral sum to 180° , then

x + 115 = 180 ( subtract 115 from both sides )

x = 65

foods that build up the immune system​

Answers

Answer:

1. Citrus fruits · 2. Red bell peppers · 3. Broccoli · 4. Garlic · 5. Ginger · 6. Spinach · 7. Yogurt · 8. Almonds.

Step-by-step explanation:

Answer:

Citrus fruits.

Red bell peppers.

Broccoli.

Garlic.

Ginger.

Spinach.

Yogurt.

Almonds.

Step-by-step explanation:

A restaurant offers four different appetizers, nine different entrees, and three different desserts
How
many different meals can you order of one appetizer, one entrée, and one dessert?

Answers

Step-by-step explanation:

with multiplying rules, we get

4 × 9 × 3 = 108 different meals

Im bo red would someone like to send riddles?

Answers

Answer:

came on hear +254102580056

How would someone Algebraically determine X-Y intercepts?

Answers

Answer:

y-int:  -6

x-int: -2/5 and 3

Step-by-step explanation:

you can find the y-intercept by substituting zero in for every 'x' in the equation;

y = 5(0) - 13(0) - 6

y = -6

to find the x-intercept(s), factor the trinomial by trying to find a pair of factors that multiply to 6 and add to -13; the factors that work are:

(5x + 2)(x - 3)

now set each factor equal to zero and solve for 'x':

5x + 2 = 0

5x = -2

x = -2/5

x - 3 = 0

x = 3

At a circuit-training fitness center, participants are asked to roll 2 dice simultaneously when they complete the circuit. If they roll doubles (both dice show the same number), then they win a water bottle.

Which of the following outcomes of 2 dice rolls would result in a player winning a water bottle? Check all that apply.

1, 1
1, 5
3, 3
2, 3
4, 6
6, 6
5, 6

Answers

Answer:

1,1 3,3 6,6

Step-by-step explanation:

Answer:

Step-by-step explanation:

how is science made and who made science in the past

Answers

Answer:

science is not made but it exists by its self normally

Find the area of the quarter circle with a radius of 18 cm. Use 3.14 for Pi and round the answer to the nearest hundredth.

Answers

ccinctly, pi—which is written as the Greek letter for p, or π—is the ratio of the circumference of any circle to the diameter of that circle. ... In decimal form, the value of pi is approximately 3.14.

Mr. Deutsch ran 42 miles in 8 hours. What was his miles per hour?

Answers

Answer:

3 miles

Step-by-step explanation:

8 hours ----> 42 miles

1 hour

= 24 / 8

= 3 miles

So, His miles per hour is 3 miles.

Answer:Answer:

3 miles

Step-by-step explanation:

8 hours ----> 42 miles

1 hour

= 24 / 8

= 3 miles

Hope this helps

PLease help me will give branliest! desperate! Find the two missing sides and write your answer as in simplified radical form. image attached.

Answers

Answer:

y=3

x=6

Step-by-step explanation:

We can see from the image below that a= 3

which means that the legnht of y is 3

and the lenght of x is 3*2 or 6

The number of pages read by two students each day for 5 days are listed in the table.


Pages Read
Student
Number of Pages in Each Book
Lionel
90, 45, 30, 25, 15
Aaron
55, 19, 40, 16, 75

Which statements are true regarding the two data sets? Check all that apply.
The means for both data sets are equal.
The means for the data sets are not equal.
The range of the number of pages Lionel read is greater than the range of the number of pages Aaron read.
The range of the number of pages that Lionel read is 75.
The range of the number of pages that Aaron read is 50.

Answers

Answer:

Means for both are equal

Range for Lionel is greater than for Aaron

Range for Lionel is 75

Step-by-step explanation:

Answer:

person above is right

Step-by-step explanation:

Yuri is 5 miles from home he walks home at a speed of 1.5 miles per hour. The variable x represents time in hours and y represents yuri's distance from home in miles. Which equation models this solution

Answers

Answer:

1.5x= y

Step-by-step explanation:

Speed = distance / time

The variable x represents time in hours and y represents yuri's distance from home in miles.

Therefore

Speed = y/ x

But distance = 5 miles and  speed= 1.5 miles

1.5 = y/x

or

1.5x= y

Which are steps in the process of completing the square used to solve the equation 3 – 4x = 5x2 – 14x? Check all that apply.
3 = 5(x2 + 2x)
3 = 5x2 – 10x
4 = 5(x2 – 2x + 1)
8 = 5(x2 – 2x + 1)
3 = 5(x – 1)2
4 = 5(x – 1)2
StartFraction 8 Over 5 EndFraction = (x – 1)2

Answers

Answer:

1. 3 = 5x2 – 10x

2. 8 = 5(x2 – 2x + 1)

3. StartFraction 8 Over 5 EndFraction = (x – 1)2

Step-by-step explanation:

3-4x=5x^2-14x

3=5x^2-14x+4x

3=5x^2-10x

5x^2-10x-3=0

1. 3 = 5x2 – 10x

2. 8 = 5(x2 – 2x + 1)

8=5x^2-10x+5

8-5=5x^2-10x

3=5x^2-10x

3. StartFraction 8 Over 5 EndFraction = (x – 1)2

8/5=x^2-2x+1

Cross product

8=5(x^2-2x+1)

8=5x^2-10x+5

8-5=5x^2-10x

3=5x^2-10x

Answer:

3 - 4x = 5x2 - 14x

= 3 - 5x2 = - 14x + 4x

=  3 - 10 = 10x

= 7 = 10x

= x = 7/10

= x = 0.7

Step-by-step explanation:

Find the input (x) of the function y = 1/4x+ 12 if the output
(y) is 6

Answers

Answer:

x = -24

Step-by-step explanation:

y = 1/4x+12 (Substitute 6 for y)

6 = 1/4x+12 (Subtract 12 from both sides)

6-12= -6 so its now -6 = 1/4x and since its a fraction you want to multiply both sides by the reciprocal

4*-6 = 1/4x*4 (1/4*4=1 which is 1x or x)

-24 = x

Answer:

y=1/4x+12

6=1/4x+12

1/4x=6-12

1/4x=-6

0.25x=-6

x=-6÷0.25

x=-24

Step-by-step explanation:

first put the given value into the equation

inverse rule:

+ve changes to -ve(vice versa)

÷changes to ÷(vice versa)


what is the area of triangle EDF?

Answers

Answer:

4.5

Step-by-step explanation:

∠BAC ~ ∠EDF means that the triangles are similar. So the legs of the triangle share the same proportions, even if the sizes are different.

Since they share the same proportions, the same operations can be performed on each base to find the area.

The answer can be found with the knowledge that the area of a triangle is half of the height * width. You know the width of ∠BAC is 4, and the area is 8, so 16 (the area doubled) / 4 is the height. The width and height of ∠BAC are the same, and since the proportions are also the same, the width and height of ∠EDF are both 3. So the area is the width (3) times the height (3) divided by 2.

3*3 = 9

9/2 = 4.5

So the area is 4.5

Stephen is merging onto a highway. The increase in Stephen's speed for the first 8 seconds can be described by the function f(t)=t2+13t, where t is time in seconds. Which is the average rate of change of f(t) between t=2 and t=6?

Answers

Answer:

21m/s

Step-by-step explanation:

The average rate of change is expressed as;

A(t) = f(b) - f(a)/b-a

a = 2, b = 6

f(2) = 2² + 13(2)

f(2) = 4 + 26

f(2) = 30

f(6) = 6² + 13(6)

f(6) = 36 + 78

f(6)= 114

b- a = 6-2

b-a = 4

Substitute;

A(t) = 114 - 30/4

A(t) = 84/4

A(t) = 21

Hence the average rateof change is 21m/s

The central angle of a sector is 100° and the radius of the circle is 17 yds. What is the area of the sector to the nearest tenth?​

Answers

Answer:

9

Step-by-step explanation:

pork plus allpurpose

What is the inverse of the function f(x) = 2x + 1?
o hex) = x-1
h(x) =
10x) = 3x-2
h(x) = 5x + 2

Answers

Answer:

y = x /2 - 1/2

Step-by-step explanation:

y = h(x)

y = 2x + 1       Interchange x and y

x = 2y + 1       Subtract 1

x - 1 = 2y        Divide by 2

x/2 - 1/2 = y

y = x/2 - 1/2

None of your answers look like mine. If there is a mistake somewhere please leave a note.

Write this number in standard notation.
2.0 x 10^5

Answers

Answer:

2^6 x 10^5

Step-by-step explanation:

10^5

= ( 2 x 5 )^5

= 2^5 x 5^5

2 x 10^5

= 2^1 x 2^5 x 10^5

= 2^( 1 + 5 ) x 10^5

= 2^6 x 10^5

Write the equation of the line perpendicular to 2y= -x +6 through (4,-8)

A. y= 2x-16
B. y= 1/2x-10
C. y= -1/2x-6
D. y=2x

Answers

Answer:

B is perpendicular to 2y=-x+6

Without using a calculator, order the following numbers from least to greatest. sqrt(58) 8 7

Answers

7, sqrt(58), then 8. Hope this helps!

Find the values of x and y.

Answers

Answer:

The answers are

x=12

y=60

8. A cellphone company charges $29.99 per month for the first 500 minutes of calls and $0.30 a minute for any calls over the 500-minute limit. . Last month Demetria made 615 minutes of calls on her cellphone. Excluding tax, what were the total charges for her cellphone calls last month? A. $29.99 B. $34.50 C. $64.49 D. $184.50​

Answers

Answer:

C) $64.49

Step-by-step explanation:

let 'x' = #minutes

cost = 29.99 + 0.3(x-500)

= 29.99 + .3(115)

= 29.99 + 34.50

= $64.49

Josh currently bench presses 150 lbs. He increases that amount by 20% . How much can he bench press now? *

Answers

Answer:

180

Step-by-step explanation:

100%-> 150

1%->1.5

120%-> 180

Other Questions
PLEASE HELP! What shapes do I need to use to find the surface area? (How many of each shape) -2-1- 0112.3-1BThe midpoint of AB = ([?], [ ]) can anyone help me just write the short oneI need it now Find mLOM for brainliest There are 500 students in school. 40% of them are boys and the rest are girls. What is the percentage of girls? And find the number of boys and number of girls in the school how does following the crowd help create change positively ? 5 sentences or more 1. Lee las siguientes expresiones que estn escritas en lenguaje potico e indica cul es laaccin humana que estn realizando.1. La luna me miraba tristemente.2. El sol reto al rey.3. El zorro me aconsejo sabiamente.4. La cmara le grito cmprame!5. Mi gato dialogaba elocuentemente.6. Los rboles lloran sus hojas en otoo.7. Apareci la noche, quejndose.8. El amanecer se rompi en la montaa. productivity is a measure of: LINKS WILL be REPORTEd BRainly if correct the provided list, only some verbs aregated in the present tense correctly If it is correct, use the corresporCircled letter to spel out the code word.O Isabela y Benjamin baillar bailaLa familla visitar visitaEllos vivir vivenT escribir + escribisLas clases aprender aprendanYo caminar caminoNosotros hablar hablemosT abrir abresNYo vender vendaLas chicas nadanEl cdigo: ton Use the figure below to find the value of x and y.x = 4, y = 12x = 4, y = 8 x = 43, y = 6x = 46, y = 83 help me please ill give brainliest:)1. What years was trade active along the Silk Road? About how many years was that 2. During what dynasty did China initiate expansion into the Silk Road?3. What eastern empire closed the Silk Road?4. What things were spread by the Silk Road? Make a list of at least 10 things. Remember not all things are objects.5. How were goods transported on the Silk Routes? (name at least 3) Help me please I really need it please help me The folded mountains is an example of which type of plate boundary? Fertilization (egg meeting the sperm) occurs in the: ovary testicle uterus fallopian tube In diffusion, molecules move from ___ to ___ areas of concentration.A. low to highB. high to low 50 points + brainliest if I get atleast a 90, 150 + words I need a final draft essay about:Write a compare and contrast analysis of how culture shapes the heroes in heart of a samurai and black ships before Troy use translation words in your draft to help clarify relationships of ideas An Angle measures 64 more than the measure of its supplementary angle what is the measure of each angle Cybercrime has a serious economic impact on national and global economies that costs the _____ of its GDP every year.US around 7 percentworld at least 1 percentworld around 6 percentUS at least 1 percent.world less than 0.5 percent What obstacles did African Americans face who wanted to serve?