Answers
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
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= 836a 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
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
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
Tell me what you think it is and I will help you
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
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
A penguin walks 10 feet in 6 seconds. At this speed how far does the penguin walk in 45 seconds?
Answers
10/6 * 45 = 75 feet
What is the weight of a 10 kg dog
100 kg
5
O
1N
90N
O
100N
Answers
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 :)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
You buy 6 items for $25.60. About how much did you spend?
$125
$145
$75
$150
Answers
Answer: About $150.
Explanation: Each item cost $25.60, so I multiplied it into six, equalling about $150.
2 x 6 - 21 divided by 7
Answers
The answer is -1.2857
Hope this helps!
Solve the equation. - 13 = 5+X
Answers
-13=5+x, rearrange the terms.
-x=5+13, add.
-x=18, invert the sign.
x=-18
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
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
Hope this helps
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
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.
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.
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!
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
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:
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
i need help with this
Answers
Answer:
1st - Yes ; 2nd - Yes ; 3rd - Yes ; 4th - No
Step-by-step explanation:
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
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!
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
what is the point do these equation intersect x+4y=15 and 4x+5y=16
Answers
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.
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)
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