7. Find: (i) x + y +z (ii) a+b+c+d​

7. Find: (i) X + Y +z (ii) A+b+c+d

Answers

Answer 1

Answer:

Q.1 360° Q.2 360°

Step-by-step explanation:

Q.1 let the third angle of the triangle be a

70°+40°+a=180(by angle sum property)

110°+a=180

a=180°-110°

a=70°

angle x=70°+x=180°(linear angle)

x=180°-70°

x=110°

angle z= 40°+z=180

z= 180°-40°

z=140°

angle y=a+y=180°

70°+y=+80°

y=180°-70°

y=110°

y+z+x=110° +110° +140°=360

Q.2 let the fourth angle of the quadrilateral be x

120°+70°+60°+ x=360° (by angle sum property)

250°+x=360°

x=360°-250°

x=110°

angle a=120°+a=180°(by linear angle)

a=180°-120°

a=60°

angle b=70°+b=180°

b=180°-70°

b=110°

angle c=x+c=180°

110° + c=180°

c=180°-110°

c=70°

angle d=60°+d=180°

d= 180° -60°

d=120°

a+b+ c+d=120°+110°+60°+70°=360°


Related Questions

Help plss I will mark as brainlest if correct

Answers

Answer:

y= - 1/4x - 3

Step-by-step explanation:

solve the system by graphing.
y = -x + 5

y = x + 1

Answers

Step-by-step explanation:

the answer from the graph is:

(2 , 3)

How many times should you multiply 15 to equal 60 seconds

Answers

Answer:

4

Step-by-step explanation:

Which system of equations has infinitely many solutions? On a coordinate plane, 2 lines are parallel to each other. On a coordinate plane, 2 lines intersect at (negative 1, 0). On a coordinate plane, a line has a negative slope.

Answers

Answer:

On a coordinate plane, a line has a negative slope

Step-by-step explanation:

If a graph only shows one line, there is an infinite amount of solutions. We need two separate line equations to cross at a point in order to find the solution to the system. However, if a graph shows two parallel lines that never cross, there are no solutions to that systems of equations.

Answer:

The correct answer is the last graph (C).

Step-by-step explanation:

edge 2020

What is the surface area?​

Answers

Answer:

0.5 X 15 X 20 = 150m squared

150 X 2 = 300m squared (that's the two triangles done)

25 x 7 = 175m squared (front)

15 X 7 = 105m squared (base)

20 X 7 = 140m squared (back)

now add them all together

300 + 175 + 105 + 140 = 720

SA = 720cm squared

Answer:How do u find the surface area of a cube?

To determine the surface area of a cube, calculate the area of one of the square sides, then multiply by 6 because there are 6 sides. This is the same as solving using the formula SA = 6s2. If you are given the surface area, you can determine the side length by working backwards.

Step-by-step explanation: I was bored

Is 14/9 greater than 2

Answers

Answer:

No

Step-by-step explanation:

14/9ths is not greater than two because 9 two times is greater than fourteen.

Answer:

No

Step-by-step explanation:

Because, 14/9 is equal to 1.555.... and 1.555.... is less than 2.

Hope I helped!!

Sorry if its wrong! :(

Pls mark brainlist!!!

twice the sum of 4 and x is less than -16. solve the i equality​

Answers

Answer:

x<-2

Step-by-step explanation:

4x-2x2=-16 so it must be anything less than -16

Negatives get smaller the more digits, so x is less than -2

What is the Equation of the Line Passes through the points (-4,8) and (1,3)

show work please, i need these asap and thx for trying :)

Answers

Answer: y = –x + 4

Explanation:

y=-x+4 is the Equation of the Line Passes through the points (-4,8) and (1,3).

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The slope of line passing through points (-4,8) and (1,3)

m=3-8/1+4

=-5/5=-1

Now we need to find the y intercept

8=-1(-4)+b

8=4+b

b=4

Hence, y=-x+4 is the Equation of the Line Passes through the points (-4,8) and (1,3).

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6(x+4)+1= pleaseee help

Answers

The answer is this I think 6x+25

Twice the difference of a number and 4 is 3.​

Answers

Alright let’s use the variable X here for example.

2(X - 4) = 3
And that missing number is 5 1/2.
Which now equals 3.

What are vernal pools?
A lakes
B swimming pools
C hollows where water collects
D caves where wild animals sleep

Answers

Answer: C. Hollows where water collects :)

Step-by-step explanation:

A tree casts a shadow that is 7 feet long. A person nearby casts a shadow that is 3.5 feet long. The person is
5 feet tall. What is the height of the tree?

Answers

3 feet tall hope this helps:)

98.92 as a decimal to 2 places

Answers

Answer:

98.9 i think

Step-by-step explanation:

to round to 2 decimal places, look for the number 2 places from the decimal point. that number is 2. is there any number next to it on the right? no. so just round.92 which is 98.9

2 decimal places question.

98.92 would remain exactly the SAME if all u want is 2 decimal places answer

= 98.92

Sam runs 6 miles in 45 minutes. At the same rate, how many minutes would he take to run 4 miles?

Answers

Answer:

It would be 30 mph

Step-by-step explanation:

45/6=7.5

7.5*4=30

Answer:

30 minutes

Step-by-step explanation:

Each mile takes him 7 minutes 30 seconds. So you will do 7.5 x 4 to get 30 minutes

The local car dealership will approve the purchase of a $32,795
car with a 72 month loan. Enter the length of the car loan in years.

Answers

Answer:

?

Step-by-step

Can you be more specific?

Clear selection
If I double a number, subtract 3 and the answer is 7, what number did I start 1 point
with?
10
5
4
6

Answers

Answer:

5

Step-by-step explanation:

if you double 5 you get 10 and if you remove 3 you get 7

Answer:

5

Step-by-step explanation:

since 5 +5 = 10 then you'd subtract 3 u would end up with 7

Convert 0.838383 into a fraction

Answers

Answer:

8jdhdhdhdhfbdudhdhdhd

Sandra is making pizzas for a party. each pizza will have 8 slices. she plans on 2 slices per person. if there will be 12 people at the party, how many pizzas should she make?

Answers

Answer:

3 pizzas

Step-by-step explanation:

12 x 2 = 24

24 divided by 8 = 3

3 pizzas hope this helps i’m not good at explaining

15 inches.......3 inches Which measurement is closest to the total surface area of the container in square inches?

Answers

Answer:

[tex]Area = 339.29\ in^2[/tex]

Step-by-step explanation:

Given

See attachment

Required

Determine the total surface area

From the attachment:

[tex]r = 3\ in[/tex] --- radius

[tex]h = 15\ in[/tex] --- height

The total surface area:

[tex]Area = 2\pi r(r + h)[/tex]

Substitute values for r and h

[tex]Area = 2\pi * 3(3 + 15)[/tex]

[tex]Area = 2\pi * 3(18)[/tex]

Remove bracket

[tex]Area = 2\pi * 3 * 18[/tex]

[tex]Area = 2\pi * 54[/tex]

[tex]\pi = \frac{22}{7}[/tex]

So, we have:

[tex]Area = 2 * \frac{22}{7} * 54[/tex]

[tex]Area = \frac{2 * 22 * 54}{7}[/tex]

[tex]Area = \frac{2376}{7}[/tex]

[tex]Area = 339.42[/tex]

Hence, the closest is:

[tex]Area = 339.29\ in^2[/tex]

The sum of 5 consecutive even numbers is 100.
What is the first number in this sequence?

Answers

Answer: The number is 16

a bag contains 3 red sweets and 5 green sweets. Tim takes a sweet at random and eats it. he then takes another sweet. what is the probability that Tim takes 2 red sweets

Answers

Answer:25% chance

Step-by-step explanation:

easy

Add. Write your answer as a mixed number in simplest form.

6 5/6 + 2 1/9

Answers

Answer: 8 17/18

Step-by-step explanation:

6 5/6 + 2 1/9

Turn to improper fractions

41/6 + 19/9

Find LCM

LCM = 18

123/18 + 38/18 = 161/18

8 17/18

Sara says, "If you subtract 15 from my number and multiply the difference by -7, the result is -133. What is sara's number

Answers

Answer:

39

Step-by-step explanation:

-133/-7=19+15=39

check:39-15=19

19x(-7)=-133

ANSWER NOW AND U GET !5 and ill answer one of urs

Answers

Dianne saves $20 by purchasing the jeans on sale

Write an equation of the line passing through point P(2, 3) that is perpendicular to the line y -4 = -2(x+3)

Answers

Perpendicular = opposite sign and reciprocal slope
Slope of -2 turns into 1/2
Y-y1 = m(x-x1)
Solution; y-3 = 1/2(x-2)

13 = -2 ( y - 4 ) + 3y

Answers

Answer:

5

Step-by-step explanation:

13 = -2y + 8 + 3y

13 = y+8

y = 5

answers for the 2 boxes please :)​

Answers

(-3,-6) i hope this helps
have a great day!:)

15 divided by 1/9 please i just need 15 divided by 1/9

Answers

Answer:

135 :)

Step-by-step explanation:

15 divided by 1/9 is equal to 135.

We have,

When dividing fractions, we can invert the second fraction (1/9) and multiply it by the first fraction (15).

This concept is known as "invert and multiply."

By multiplying 15 by the reciprocal of 1/9, which is 9/1, we effectively perform the division operation and obtain the result.

Now,

To divide 15 by 1/9, we can rewrite the division as a multiplication by the reciprocal of the second fraction.

15 ÷ (1/9) is the same as 15 * (9/1).

Multiplying these fractions, we get:

15 * (9/1) = 135/1 = 135.

Therefore,

15 divided by 1/9 is equal to 135.

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An intercepted arc has a length of 19 yards. If the radius is 4 yards, find the measure of the central angle in radians and degrees.

Answers

The length of an arc is the distance between the endpoints of the arc.

The central angle is: [tex]\mathbf{4.75\ rad}[/tex] or [tex]\mathbf{272.16^o}[/tex]

The given parameters are:

[tex]\mathbf{l = 19yd}[/tex] --- length of the arc

[tex]\mathbf{r = 4}[/tex] -- radius of the circle

The length of an arc is calculated as:

[tex]\mathbf{l =r\theta}[/tex]

Divide both sides by r

[tex]\mathbf{\theta = \frac lr}[/tex]

Substitute known values

[tex]\mathbf{\theta = \frac{19}4}[/tex]

[tex]\mathbf{\theta = 4.75\ radians}[/tex]

Convert to degrees as follows:

[tex]\mathbf{\theta = 4.75 \times \frac{180}{\pi}}[/tex]

[tex]\mathbf{\theta = 4.75 \times \frac{180}{3.142}}[/tex]

[tex]\mathbf{\theta = 272.16^o}[/tex]

Hence, the central angle is: [tex]\mathbf{4.75\ rad}[/tex] or [tex]\mathbf{272.16^o}[/tex]

Read more about length of arcs at:

https://brainly.com/question/15832640

The ratio of boys to girls in a group is 7:2. If there are 60 more boys than girls, work out how many girls there are.

Answers

Answer:

Step-by-step explanation:

So, kids are divided into 8 total parts.

7 - 1 = 6 more parts that are boys. The 48 extra boys are those 6 parts.

48/6 = 8 boys per part

All parts have the equal number of kids, so one part girls also has 8.

There are 8 girls (and 56 boys. 8:56 = 1:7).

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