Consider that lines u and vare parallel. Which equation models the relationship between the angles? What is the value of x?
Answers
[tex]\color{plum}\tt \: \bold{(A) 12x - 4 = 10x + 10 ; x = 7}[/tex]
Steps to derive the correct option :Given :Lines u and v are parallel Measure of an angle = 12x - 4Measure of it's corresponding angle = 10x + 10Since these angles are corresponding angles and lie on two parallel lines, their value will be equal.
Which means :
[tex] = \tt12x - 4 = 10x + 10[/tex]
[tex] = \tt12x - 4 - 10x = 10[/tex]
[tex] = \tt12x - 10x = 10 + 4[/tex]
[tex] = \tt2x = 14[/tex]
[tex] =\tt x = \frac{14}{2} [/tex]
[tex] =\color{plum}\tt x = 7[/tex]
Thus, the value of x = 7.
Let's place 7 in the place of x and see if their value matches :
12x - 4[tex] = \tt12 \times 7 - 4[/tex]
[tex] = \tt84 - 4[/tex]
[tex] = \tt80[/tex]
Thus, ∠12x - 4 = 80°
10x + 10[tex] =\tt 7 \times 10 + 7[/tex]
[tex] = \tt70 + 10[/tex]
[tex] = \tt80[/tex]
Thus, ∠10x + 10 = 80°
Since the value of these two angles are equal, we can conclude that we have found out the correct measure of each angle.
Therefore, the correct option is - (A) 12x - 4 = 10x + 10; x = 7
Related Questions
PLEASE SOMEONE HELP WITH THIS AND EXPLAIN IT!
Answers
Answer: x= 11.15
Step-by-step explanation:
Explanation is in the photo attached
A fraction that contains a fraction in its numerator or denominator is
called a(n) ??
Answers
Complex fraction.
Hope this helped!
What is the equation of the additive relationship represented by this table?
Enter your answer by filling in the box using an integer.
x y
9 5
12 8
Answers
Answer:
-1
Step-by-step explanation: hope this helps
Find the value of each variable.
Answers
Answer:
x = 4
Step-by-step explanation:
the given figure is of an isoceles triangle.
The two angles opposite are congruent(i.e78 degrees) .
That is the sides opposite to them are also congruent.
I. e 4x + 23 = 10x - 1
I. e 4x - 10x = -1 -23
I. e -6x = -24
I. e -x. = -24/6
Dividing by 6 to 24 we get,
-x = -4
therefore by removing the minus sign from both the sides,
the answer comes x = 4
When Mohammed was born, the baby was 21 inches tall. at his last check up, he was 38 inches tall. what is the percent increase in his growth to the nearest percent? round it to the nearest 100th
this is math btw and im giving 5 star and 15 points.
Answers
Answer:
80.95
Step-by-step explanation:
Percentage increase = [tex]\frac{New Value - Old Value}{Old Value}[/tex] *100
=> (38-21)* 100/21 = 80.9523%
The answer round it to the nearest 100th = 80.95%
Ruby had 30 dollars to spend on 3 gifts. She spent 9 7 10 dollars on gift A and 5 2 5 dollars on gift B. How much money did she have left for gift C?
Answers
Answer:
$14 9/10
Step-by-step explanation:
Ruby had 30 dollars to spend on 3 gifts. She spent 9 7 10 dollars on gift A and 5 2 5 dollars on gift B. How much money did she have left for gift C?
From the above question,
$30 = Gift A + Gift B + Gift C
She spent 9 7/ 10 dollars on gift A and 5 2/5 dollars on gift B.
$30 = $9 7/10 + $5 2/5 + Gift C
Gift C = $30 - ( $9 7/10 + $5 2/5)
Lowest Common Denominator = 10
Gift C = $30 - $14+(7 + 4/10)
Gift C = $30 - $14+(7 + 4/10)
Gift C = $30 - $14+(11/10)
$30 - $14+(1 1/10)
$30 - $15 1/10
Gift C = $14 9/10
Therefore, the amount of money she had left for gift C is $14 9/10
Solve the system of equations by the substitution method.
X + 8y = 21
3x + 5y = 6
Answers
Step-by-step explanation:
the first one if you are solving for x it will be x=21-8y
if you are solving for y it will be y =21/8 - x/8
the second one will be if you are solving for x x = 2 -5y/3
solving for y is y=6/5-3x/5
Brian bought 215 pounds of strawberries. In the afternoon his brother ate 56 of the strawberries. How many pounds of strawberries did his brother eat?
Answers
Hi there!
Step By Step:
We know that 215 pounds are about 215 strawberries since every strawberry are about 1 pound.
Let think about this... 215 pounds are 215 strawberries.
If his brother ate 56 of the strawberries, it means that his brother ate 56 pounds of the strawberry.
We can also think like this... 56/215
Final Result: 56 pound sof strawberries.
please help me i need it
Answers
Answer: im bad at math sowwy
Step-by-step explanation:
A middle school student reads 48 books in 31/3 years. Find the students reading rate in books per year
Answers
Answer: 14 2/5 books per year
Step-by-step explanation:
From the question, we are informed that a middle school student reads 48 books in 31/3 years. The students reading rate in books per year will be calculated as:
= Total books read / Number of years
= 48 ÷ 3 1/3
= 48 ÷ 10/3
= 48 × 3/10
= 144/10
= 14 2/5 books per year
HELP ME PLEASE WITH ANY QUESTION
Answers
Answer:
1.) -9
2.) 1/3 or 0.3
5.) 4
6.) 2.9
Step-by-step explanation:
Write
11/16
as a decimal.
Answers
Answer:
[tex]0.6875[/tex] OR: [tex]0.7[/tex]
Step-by-step explanation:
[tex]0.6875\\0.688\\0.69\\0.7[/tex]
The cost of metal is proportional to the weight of the metal. Martin buys 12 pounds of metal for $33.00. Create an equation that can be used to determine the cost, in dollars, c, for m pounds of metal.
Answers
Step-by-step explanation:
First we need to find the unit price33 / 12: 2.75$ per pound
2.75m = c
We can test if this equation works2.75(12) = c
33 = c
Which is correct
i will give brainliest
Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Answers
Answer:2/6 i might be wrong but whats the answer choices?
Step-by-step explanation:
Answer:
Step-by-step explanation:
You can see that (0,4) and (1,1) are points on the line. Use their coordinates to determine the slope of the line.
slope = (difference of y-coordinates)/(difference of x-coordinates)
= (1-4)/(1-0)
= -3
Someone plz help me
Answers
Answer:
its the second option thats the answer
Tickets for the karaoke talent show sponsored by the Speech Club were priced at $3 for adults and $2 for students. The club treasurer counted 300 tickets sold for a total of $650. Write and solve a system of equations to determine how many adult and student tickets were sold.
Answers
Answer:
50 adults and 250 students tickets were sold
Step-by-step explanation:
Given data
Let the number of adults be x and students be y
3x+2y=650------1
x+y= 300---------2
from 2
x= 300-y
put the value of x in 1
3(300-y)+2y= 650
900-3y+2y= 650
900-y= 650
900-650= y
y=250
put the value of y in 2
x+250= 300
x= 300-250
x= 50
Hence 50 adults and 250 students tickets were sold
HELP I NEED HELP ASAP CUS THIS IS DUE TODAY
HELP
Answers
Answer:
A
Step-by-step explanation:
D=m/v
D=20kg/5m3
D=4kg/m3
A
Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If BC=10BC=10 and DC=5,DC=5, what is the length of \overline{AC}? AC ?
Answers
Answer: [tex]\overline{AC}=[/tex] 12.5
Step-by-step explanation: The triangle ABC and its altitude [tex]\overline{BD}[/tex] is represented in the figure below.
Altitude is a segment of line that link a vertex and the opposite side, forming a right angle.
So, because of [tex]\overline{BD}[/tex], now we have two similar triangles, which means that ratios of corresponding sides are equal:
[tex]\frac{\overline{BD}}{\overline{BC}} =\frac{\overline{AD}}{\overline{BD}}[/tex]
[tex]\overline{BD}^{2}=\overline{BC}.\overline{AD}[/tex] (1)
This is always true for a right triangle and a altitude drawn to the hypotenuse.
Triangle BDC is also right triangle. So, we can use Pythagorean theorem to determine the missing side.
[tex]\overline{BC}^{2}=\overline{CD}^{2}+\overline{BD}^{2}[/tex]
[tex]\overline{BD}^{2}=\overline{BC}^{2}-\overline{CD}^{2}[/tex] (2)
Substituting (2) into (1):
[tex]\overline{BC}^{2}-\overline{CD}^{2}=\overline{BC}.\overline{AD}[/tex]
We want to find f, so:
[tex]\overline{AD}=\frac{\overline{BC}^{2}-\overline{CD}^{2}}{\overline{BC}}[/tex]
[tex]f=\frac{10^{2}-5^{2}}{10}[/tex]
f = 7.5
The length of [tex]\overline{AC}[/tex] is
[tex]\overline{AC}=f+5[/tex]
[tex]\overline{AC}=7.5+5[/tex]
[tex]\overline{AC}=12.5[/tex]
The length of the hypotenuse of triangle ABC is 12.5 units.
Answer:
x = 20
Step-by-step explanation:
hii pls help me if u can tysm
Answers
Answer:
she hit the flo'
next thing yk
shawdy got
low
low
low
low
low
low
low
Step-by-step explanation:
20 POINTS AND BRAINLIEST
Answers
Answer:
1. 234.57
2.150.79
3. too lazy... lol sorry
Step-by-step explanation:
Which of the following statement(s) describes the rate of change of f over the interval 1.5≤x≤3? Select all that apply.
Answers
Answer:
error
Step-by-step explanation:
Answer: The rate of change = 2
✔️The rate of change is increasing because the value is a positive value.
✔️The rate of change is also constant over 1.5 ≤ x ≤ 3 since the line is straight.
Step-by-step explanation:
Last year Anna read 20 books. 5 were non-fiction, 7 were graphic novels and 8 were mystery novels. What is the ratio of graphic novels to total books?
Answers
Answer:
7/20 or 7 out of 20 could be graphic novels
Step-by-step explanation:
Colon form: 7:20
(Equivalent Expressions) Which expression is equivalent to 3 + 2x + 6y + 6x + 2 – 2y?
Answers
im dum pls
help
4 brainliest
Answers
Answer:
2400
Step-by-step explanation:
Answer:
2400
Step-by-step explanation:
240*10=2400
(2) Need help ASAP -BRAINLIEST
Answers
Answer:
B
Step-by-step explanation:
I just took the test and teacher said it
Answer:
b
Step-by-step explanation:
/////////////////////////////////////////////
$14.50 is 30% of what number?
A) $45.20
B) $48.00
C) $62.80
D) $52.40
E) $54.00
Answers
Answer:
B
Step-by-step explanation:
because its rellevant :)
Answer:
B
Step-by-step explanation:
Look at this table: x 19 5 19 y 2 5 8 Is this relation a function? yes no
Answers
Answer:
no
Step-by-step explanation:
Answer: No
Step-by-step explanation:
4 divided by 2 (2/5) ???
Answers
Answer:
as decimal = 2
as fraction = 1/2
I need help with some math?????????
Answers
-14
is the first one, remember 1- (-15) is like 1-15 but the you put the - on the14 so you get-14, hope this helped
Formas de encontrar el numero de triángulos en un polígono
Answers
Answer:
n-2
Step-by-step explanation:
N sides polygon has n-2 triangles