Find the values of x and y.
(10x – 4)º
16yº
(18y – 18)°
6(x + 2)°

Find The Values Of X And Y.(10x 4)16y(18y 18)6(x + 2)

Answers

Answer 1

Answer:

The value of x is 4 and the value of y is 9

Step-by-step explanation:

In the attached pictures we can see that two lines are intersecting with each other and four angles are form. The angles opposite to each other are also called vertical angles.

The opposite pairs of angles are:

(10x-4)° and 6(x+2)°

(18y-18)° and 16y°

When two lines intersect each other, the vertical angles formed are congruent(Can also be called equal in measurement)

So,

[tex]10x-4=6(x+2)\\10x-4 = 6x+12[/tex]

Subtracting 6x from both sides

[tex]10x-4-6x = 6x+12-6x\\4x-4 = 12[/tex]

Adding 4 on both sides

[tex]4x-4+4 = 12+4\\4x = 16[/tex]

Dividing both sides by 4

[tex]\frac{4x}{4} = \frac{16}{4}\\x = 4[/tex]

AND

[tex]18y-18=16y[/tex]

Adding 18 on both sides

[tex]18y-18+18 = 16y+18\\18y = 16y+18[/tex]

Subtracting 16y from both sides

[tex]18y-16y = 16y+18-16y\\2y = 18[/tex]

Dividing both sides by 2

[tex]\frac{2y}{2} = \frac{18}{2}\\y = 9[/tex]

Hence,

The value of x is 4 and the value of y is 9


Related Questions

Solve one third plus seven ninths equals

Answers

Answer:

1 1/9 0r 10/9

Step-by-step explanation:

the least common denominator or LCM of the two denominators:

LCM of 3 and 9 is 9

For the 1st fraction, since 3 × 3 = 9,

1

3

=

1 × 3=3

3 × 3=9

= 3/9

Likewise, for the 2nd fraction, since 9 × 1 = 9,

7

9

=

7 × 1=7

9 × 1=9

=7/9

Add the two fractions:

3

9

+

7

9

=

3/9+ 7/9=10/9

So, 1/3 + 7/9 = 10/9

In mixed form: 1 1/9

You buy 6 items for $25.60. About how much did you spend?
$125
$145
$75
$150

Answers

The answer is 150 because 6 times 25.60 equals 153.6

Answer: About $150.

Explanation: Each item cost $25.60, so I multiplied it into six, equalling about $150.

a plane ticket to Barcelona costs £175

Answers

Answer:

Given:

A plane ticket to Barcelona costs £175 the price decreases by 6%

To find:

The new price of the plane ticket

Solution:

The ticket to Barcelona costs £ 175

The price decreases by 6%

⇒ 6% = 6/100 = 3/50

The new price of the plane ticket is decreased by the amount,

= £ 175 × 3/50

= £ 10.5

Therefore, the new price of the plane ticket is given by,

= £ 175 - £ 10.5

= £ 164.5

ik this question i got at school

Answer: £175

Step-by-step explanation:

You said it costs £175


2 x 6 - 21 divided by 7

Answers

Hi there!

The answer is -1.2857

Hope this helps!

The cost of Ken's car wash was $24.00. If he wants to give his detailer a 15% tip, about how much of a tip should he leave?

Answers

Answer is 3.6

Hope this helps

what is the point do these equation intersect x+4y=15 and 4x+5y=16

Answers

The intersection point is at (-1,4). Hope this helps!

Ramon earns $1,665 each month and pays $53.20 on electricity. To the nearest tenth of a percent, what
percent of Ramon's earnings are spent on electricity each month?

Answers

You need to add
Tell me what you think it is and I will help you

a person who weighs 120 pounds on earth weighs 20 pounds on the moon. How much does a 93-Ib. person weigh in the moon

Answers

Answer:

15.5 pounds on the moon

Step-by-step explanation:

hope this helps

need brainlyest plz

THANKS!!

Answer:

15.5 lb

20 is a sixth of 120, and 15.5 is a sixth of 93

Megan bought 2 1/4 pounds of bananas for 0.80 per pound and 1 1/2 pounds of strawberries for 1.10 per pound how much more did Megan spend on bananas than on strawberries

Answers

Answer:Megan spent 0.15 pounds more on bananas than strawberries

Step-by-step explanation:

Step 1

Cost of bananas = 2 1/4 pounds of bananas for 0.80 per pound

2 1/4 x 0.80 = 1.8 pounds

Cost of strawberry= 1 1/2 pounds of strawberries for 1.10 per pounds

1 1/2 x 1.10  = 1.65.

Step 2  how much  more means the difference between the cost of bananas and strawberry .

 Therefore, we have Cost of bananas - cost of strawberries

1.80 pounds - 1.65 pounds=0.15

Megan spent 0.15 pounds more on bananas than strawberries

24,29,32 a acute, right, abtuse

Answers

Answer:

All are acute

Step-by-step explanation:

Acute angles are any angles that are less than 90°.

Right angles are angles that measure 90°.

Obtuse angles are angles that are more than 90°.

As we can see, 24, 29, and 32 are all less than 90°, making them all acute.

Best of Luck!

Researchers collected data on calories per serving for 77 brands of breakfast cereal. The histogram displays the data

30

25-

20

1

Frequency

15

What is the approximate center of this distribution?

The center of the distribution is between 120 and 130

calories.

The center of the distribution is between 90 and 100

calories.

The center of the distribution is between 110 and 120

calories.

The center of the distribution is between 80 and

90 calories.

The center of the distribution is between 130 and 140

calories.

10

-

50 60 70 80 90 100 110 120 130 140 150 160

Calories

Answers

Histogram attached

Answer and explanation:

To find the center of the distribution, we find the mean of the distribution.

Mean= sum of all values/number of values

To calculate the mean of the distribution using the histogram(attached) with given frequencies, we find the mid point of each class and multiply by its frequency to get the sum of the values(estimated) and then divide by the number of values(sum of the frequencies of the classes)

midpoint of 50-60=50+60/2=55

midpoint of 70-80=150/2= 75

midpoint of 80-90=170/2=85

midpoint of 90-100=190/2=95

midpoint of 100-110=210/2=105

Midpoint of 110-120=230/2=115

Midpoint of 120-130=250/2=125

Midpoint of 130-140=270/2=135

Midpoint of 140-150=290/2=145

Midpoint of 150-160=310/2=155

Sum of the values= 55*frequency= 55*3+75* 2+85*1+95*7+105*17+115*29+125*10+

135*2+145*3+155*3

Sum of all values =8605

Number of values= 3+2+1+7+17+29+10+2+3+3=77

Mean= 8605/77= 111.753

Therefore the center of the distribution is between 110 and 120 calories.

1 $40.00 shirt is on a 10% off sale rack, What is the final price of the shirt 8.25%
tax is applicable?

Answers

Answer: 38.97

10% of 40 is 4
40-4=36
8.25% of 36 is 2.97
36+2.97= 38.97

Answer:

$38.97

Step-by-step explanation:

100% - 10% = 90% = 0.9

$40 × 0.9 = $36

100% + 8.25% = 108.25% = 1.0825

$36 × 1.0825 = $38.97

geometry work help find the value of x

Answers

Answer:

110⁰!!

Step-by-step explanation:

so this is an isosceles triangle! the base angles are always equal to each other. since 35 is a vertical angle, the base angle vertical to that would be 35. and since base angles ALWAYS equal each other, they would both be 35.

35+35=70, 70 is the base angles added up

180-70=110

c=110

i need help with this ​

Answers

Answer:

1st - Yes ; 2nd - Yes ; 3rd - Yes ; 4th - No

Step-by-step explanation:

Solve the equation. - 13 = 5+X​

Answers

Answer:

-13=5+x, rearrange the terms.
-x=5+13, add.
-x=18, invert the sign.
x=-18

What is the weight of a 10 kg dog
100 kg
5
O
1N
90N
O
100N

Answers

100 kg x5 kg= 105 kg
105kg . I did the math

Which expression is the same as 2 (4-7m)?
A) 6-9m
B)6+9m
C)8-14m
D)8+14m

Answers

Answer:

The answer would be c) 8-14m

Answer:

C: 8-14m

Step-by-step explanation:

2(4-7m) = 8 - 14m

find this by distributing the 2 into the parenthesis: 2 * 4 and 2* -7m to get 8 and -7m

x = 1 while(x < 26) print(x) x = x + 1 There is an error in the while loop. What should be fixed? Add a colon to the end of the statement Begin the statement with the keyword count Change the parentheses around the test condition to quotation marks Use quotation marks around the relational operator

Answers

Answer:

Add a colon to the end of the statement

Step-by-step explanation:

Given

x = 1

while(x < 26)

   print(x)

   x = x + 1

Required

Spot and fix the error

Every lines of the given code segment is correct except the second line.

The syntax of a while loop is:

while(condition):

Comparing while(condition): to while(x < 26),

we'll see that while(x < 26) has a missing colon.

So, the error in the program is a missing colon and the solution is (option a) adding a colon to the end of the while statement

So, the correct code segment is:

x = 1

while(x < 26):

   print(x)

   x = x + 1

If they instead chose front and back covers of thickness 1/3 of an inch, how would this change the equations in the previous two parts

Answers

Answer:

where is the rest of the question

Step-by-step explanation:

Answer:

y = 1/2 + 1/4*x

Explanation:

Given that the front cover has a thickness of 1/4 an inch and back cover also has a thickness of 1/4 an inch, then, the addition of both gives to the book thickness of 1/4 + 1/4 = 1/2 inch, despite how many pages it has.

Given that for every hundred pages a thickness of 1/4 inch is added to the book, then the equation is:

y = 1/2 + 1/4*x

where y refers to the width of the book, and x refers to every hundred pages printed on bond paper. Y is measured in inches.

4/5x - 1/10 = 3/10 what is the value of x​

Answers

Answer:

x=1/2 or 0.5

Step-by-step explanation:

Hope this helps and have a great day :)

Help plz mportant!!! Choose the point-slope form of the equation below that represents the line that passes through the point (-1.6) and has a slope of -3.
а. y - 6 = -3x - 3
b. y - 6 = -3(x + 1)
c. y=-3x + 3
d. 3x+y=3​

Answers

Answer:

B

Step-by-step explanation:

point slope uses the form y - y1 = m(x - x1)

m stand for slope. in this case it is -3

x1 is -1 and y1 is 6

when you plug it in, you get

y - 6 = -3(x - [-1])

which simplifies to your final answer: y - 6 = -3(x + 1)

Hi , I will mark brainliest for who get it right.
Also pls hurry this is on my Unit Test and I'm timed.❤❤​

Answers

Answer:

28x+8y+2

Step-by-step explanation:

-2×3x=-6x

-2×12y=-24y (+×-)=(-)

-2×-5=10(-×-)=(+)

-2×-17x=34x

-2×-16y=32y

-2×4=-8

collect like terms

-6x-24y+10+34x+32y-8

28x+8y+2

After the party, 4/6 of a pepperoni pizza was left, and 5/7 of a veggie pizza was left. If the leftovers are put together, is there more or less than one whole pizza?

Please answer for me!

Answers

the answer is 29/21. 4/6 + 5/7 = 29/21. so theres your answer

Please answer correctly !!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

X+123°=180°(BEING DUM OF CO INTEROIOR ANGLES IS EQUAL TO 180°)

X=180°-123°

X=57°

Hi!

x = 57 degrees.

Explanation:

There is a straight line, so that must mean there is a linear pair. We know the first part of that pair is 123 degrees. The linear pair adds up to 180 degrees. Subtract 123 from 180 to get 57.

That angle and x are alternate interior angles, so they are equivalent.

ACD is a triangle and B is a point on AC.
BC = 10cm
Angle ACD = 770 Angle BDC = 26°
Angle DAC = 40°
(a) Find the length of BD
(b) Find the size of angle ABD
(c) Find the length of AD

Answers

Answer:

< ABD

Step-by-step explanation:

<ACD=770<BDC=26<DAC=40 then. <ABD=770+26+40= 796+40= 836

A triangular bike path is exactly 9 miles long. If each of the three connecting paths is a whole-number of miles long, which could be the lengths of the paths? ​

Answers

Answer:

2 miles, 3 miles, 4 miles

Step-by-step explanation:

could yu PLZZZZZZ mark brainliest

Answer:

2 miles, 3 miles, 4 miles

Find the unit rate. Round your answer to the nearest hundredth.
357 miles in 5 hours
miles per hour

Answers

Answer:

71.4 mph

Step-by-step explanation:

357/5

71.4

Answer:

71.40

Step-by-step explanation:

357/5= 71.4 or 71.40 to the nearest hundredth.

There are between 24 and 40 students in a class,
The ratio of boys to girls is 4:7
How many students are in the class?

Answers

Answer:answer is 387

Step-by-step explanation:ok got it

Answer:

There are 33 students in the class.

Step-by-step explanation:

Find the y-intercept of a line that passes through the point (-5,-6) and has a slope of 2.

Answers

Answer:

The y intercept is 4

Step-by-step explanation:

Given:

-Given point: (-5,-6)

-Slope of 2

1) Put the equation into point-slope form y - y1 = m(x - x1)

With the given, we can plug it all in using this formula!

-y1 = -6

-x1 = -5

m = 2

(you would change these negative numbers into positives because the equation shows them being subtracted! remember that two negatives make one positive!)

y+6= 2(x+5)

2) Simplify

y+6= 2(x+5)

y+6=2x+10

y=2x+4

With y=2x+4, set x to 0 because the y intercept is where x is equal to 0 and you get 4!

A penguin walks 10 feet in 6 seconds. At this speed how far does the penguin walk in 45 seconds?

Answers

10/6 feet per second
10/6 * 45 = 75 feet
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