Answer: x = 6
Step-by-step explanation:
Angles 1 and 8 are alternate exterior angles, so they are equal.
So you can create an equation to solve for x
12x−20 = 2x+40 Subtract 2x from both sides. Add 20 to both sides
10x = 60
x = 6
If you need the m∠1, Substitute 6 for x. (2x+40)° 2(6) +40= 12+40 m∠1= 52°
m∠8=(12x−20)° 12(6) - 20 = 72-20 m∠8 = 52°
Answer:
x=6
Step-by-step explanation:
free point
One hour is equal to how many seconds? Remember, 1 hour = 60 minutes and 1 minute = 60 seconds.
Hey there! :)
Answer:
3600 seconds.
Step-by-step explanation:
We can convert from seconds to hours using ratios:
60 seconds = 1 minute
60 minutes = 1 hour
Therefore:
\(\frac{60 sec}{1 min} * \frac{60 min}{1 hour} = \frac{3600sec}{1hour}\)
There are 3600 seconds in an hour.
Every square is a trapezoid. Is this true or false?
Answer: This is true. Every square has 2 pairs of parallel sides and the conditions for a shape to be a trapezoid is if it has at least 1 pair of paralell sides. Since a square satisfies these conditions, it is a trapezoid.
D
6
5
F
5.5
к.
6.6
What additional information must be known to prove the triangles similar by SSS?
A) No additional information is needed.
B) 2D = LJ
C) The lengths of DG and JL
D) .F.LK
Answer:
C) the length of DG and JL
Please help
A set of stickers contains 5 hearts for every 7 stars. Which choice contains an equivalent ratio of hearts to stars?
Answer:
5/7, 10/14, 20/28, 40/56
Answer:
rawr
Step-by-step explanation:
if ∆ACB ≅ ∆DCE, ∠ABC=61°, ∠BCA=57° and ∠CDE=2x
ABC=CDE when ABC=61 then CDE=2X 2X=61 --> X=61/2=30.5
The value of x would be equal to 30.5
What are vertical angles?Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.
We are given that if ∆ACB ≅ ∆DCE,
∠ABC=61°,
∠BCA=57°
∠CDE=2x
Therefore,
ABC = CDE
then CDE = 2X
2X = 61
X=61/2
X =30.5
Hence, the value of x would be equal to 30.5
Learn more about angles here:
https://brainly.com/question/2882938
#SPJ2
Lois and her team used the number of red candies in a
small 9 ounce bag to predict the number of red candies in
a large 33 ounce bag. If Lois counted 12 red candies in the
small bag, Predict the number of red candies in the large bag.
Use proportional reasoning and show algebraic work.
Using proportional reasoning, we can predict that there will be 40 red candies in the large bag.
Using proportional reasoning, we can set up and solve the following equation to determine the number of red candies in the large bag:
P = Proportion of red candies in the large bag
R = Red candies in the small bag
R × (33/9) = P
12 × (33/9) = P
P = 40 red candies in the large bag
Therefore, using proportional reasoning, we can predict that there will be 40 red candies in the large bag.
To learn more about the proportional relationship visit:
brainly.com/question/12917806.
#SPJ1
An item has a listed price of $75 . If the sales tax rate is %9 , how much is the sales tax (in dollars)?
Answer:
$6.75
Step-by-step explanation:
9% of 75 = 6.75
.09 × 75 = 6.75
A boat leaves the entrance to a harbor and travels 200 miles on a bearing of N51°E. How many miles north and how many miles east from the harbor has the boat traveled?
Thus, the boat travels x = 139.18 miles in North direction and y = 143.62 miles east from the harbor.
Explain about the components of vector:It is possible to break down a "two-dimensional vector" into its horizontal as well as vertical parts. By using the Pythagorean theorem and the vector's magnitude as the hypotenuse of a right triangle, we may determine these components of vector.
As indicated below, we must determine how far east and north the boat has moved relative to the harbour.
In this diagram, the boat is seen leaving the harbour at a bearing of N51E (measured from north to east) and a magnitude of 200 miles. The boat travelled a horizontal distance through the east, which we refer to as "x," and a vertical distance through the north, which we refer to as "y."X miles north:
cos 51 = x/200
x = 200*cos51
x = 139.18 miles
y miles east:
sin 53 = y/200
y = 200*sin 51
y = 143.62 miles
Thus, the boat travels x = 139.18 miles north and y = 143.62 miles east from the harbor.
Know more about the components of vector:
https://brainly.com/question/8043832
#SPJ1
the patient is receiving the following Iv fluids: antibiotics 0.1 l x 3 doses Iv for hydration 1 l x 2 bags blood pessure medication 0.5 l calculate the total amount of IV fluids in mL that the patient has received.
Boadu and ansah formed a company and agreed that their annual profit will be shared in the ratio of 4:5 respectively. If at the end of the year ansah received ghs5,000 more than Boadu how much was boadu share?
Answer:
ghs 20,000
Step-by-step explanation:
If Boadu and ansah formed a company and agreed that their annual profit will be shared in the ratio of 4:5 respectively, the total ratio will be 4 + 5 = 9
Let Boadu share be x
Let ansah share be y
If at the end of the year ansah received ghs5,000 more than Boadu, then;
y = 5000 + x
Boadu share = 4/9 * (x+y)
x+y is the total amount shared
x = 4/9 * (x+y)
Substitute y = 5000 + x
9x = 4(x+y)
9x = 4x + 4y
9x - 4x = 4y
5x = 4y
5x = 4(5000+x)
5x = 20,000 + 4x
5x-4x = 20,000
x = 20,000
Hence Boadu share is ghs 20,000
State Farm Insurance studies show that in Colorado, 55% of the auto insurance claims submitted for property damage were submitted by males under 25 years of age. Suppose 8 property
damage claims involving automobiles are selected at random.
(a) Letr be the number of claims made by males under age 25. Make a histogram for the r-distribution probabilities.
Answer:
I don't know the answer so how will I tell you
ABC is equal to DEF and AB is equal to EF what type of triangle is ABC
Based on the information provided, the triangle ABC is an Isosceles triangle.
Understanding Isosceles TriangleIf triangle ABC is equal to triangle DEF and AB is equal to EF, it means that the corresponding sides and angles of the two triangles are congruent.
Based on the information given, we can conclude that triangle ABC is an isosceles triangle. An isosceles triangle is a triangle that has two sides of equal length. In this case, sides AB and EF are equal in length, making triangle ABC isosceles.
Learn more about isosceles triangle here:
https://brainly.com/question/29793403
#SPJ1
Find the product.
a.
b.
8 15 19
7 -4 12
1
-15 19
-12-19
0-13
-600 -760
-114 106
-120 -114
-760
106
C.
d.
-354 -406
-111 27
57 71
3
17
The product of the values can be obtained by multiplying as follows:
1. 8 * 15 * 19 = 2280
2. 7 * -4 * 12 = -41
How to find the product of a valueTo find a product simply means to multiply the figures in order to arrive at a value. The question asks that we get the product of some values. To get these values, we are to multiply the numbers given to arrive at the answers.
It is possible to multiply two, three, or more values at the same time. So, another word that is used in place of multiplication is "product" as is the case in the question given.
Learn more about products here:
https://brainly.com/question/10873737
#SPJ1
Correct answer gets brainliest
Answer:
D. its a two dimensional object
Answer:
A. It is a polygon
C. It is a one-dimensional object
The shape is a polygon in two dimensions since a polygon must have at least three straight sides.
Identify the angular displacement, the angular velocity, and the angular acceleration
of the second hand on a clock over the time interval in which it moves
from the number 12 to the number 6. Provide answers in both degree- and
radian-
based units
Answer:
Angular Displacement: 180° or π radians
Angular Velocity: 3°/sec or 0.0524 radians/sec
Angular Acceleration: 0°/sec^2 or 0 radians/sec^2
Step-by-step explanation:
Pls help! Given the function f(x)=4x-3 and g(x)=x+2, find f(g(x))
Answer:
34(8)
Step-by-step explanation:
1/4 carton of ice cream divided wvenly by 3
Answer:
Hello There!!
Step-by-step explanation:
You multiply the reciprocal which is 4 by 3 and that is 12.
Another method: 1/4 ÷3 (use KFC) so it is keep 3,flip the fraction so it is 4/1 them change the sign ÷ into multiplication so it is 3×4/1=12. Therefore,the answer is 12.
hope this helps,have a great day!!
~Pinky~
You and your best friend have decided to go out Friday night to spend the money you received from having a great report card. The amount of money each received is $25. You are deciding if you would like to go bowling at Splitsville or go to a movie at Paragon Village.
Question : Write an equation to determine the number of friends who can come to the movie (Paragon Village) with both of you if you and your best friend put your money together and only buy one large combo.
Paragon Village: Tickets are $5 per person and a large combo (Large Popcorn and Large Drink) is S7 together.
Splitsville: Games are $6.00 per person and shoe reantal is $2.
I need help, please try you're best and show you're work(if you want). I need a eqation. Hope you the best of luck.
Answer:
Step-by-step explanation: X=-4y+4
On a map, 1 inch equals 5 miles. Two cities are 10 inches apart on the map. What is the actual distance between the cities?
Answer:
50 i think. Just count by 5 to 10
lexi is making corn bread.
The recipe requires 2/3 cup of flour and 3 ¾ teaspoons of salt.
lexi wants to make the recipe using 1 cup of flour.
To maintain the ratio, how much salt is required when 1 cup of flour is used?
Answer:
If the original recipe requires 2/3 cup of flour and 3 ¾ teaspoons of salt, we can determine the amount of salt needed for one cup of flour using a proportion.
2/3 cup flour : 3 ¾ teaspoons salt
1 cup flour : x teaspoons salt
We can cross-multiply to get:
(2/3) * x = (3 ¾) * 1
2x/3 = 15/4
Multiplying both sides by 3/2:
x = (9/2) teaspoons of salt
Therefore, Lexi needs 9/2 or 4.5 teaspoons of salt when making corn bread with 1 cup of flour to maintain the ratio.
Exit
11-02: Reteaching, Practice, & Digital Quick Check
Which set contains only prime numbers?
A. 1, 3,6
B. 2, 4,7
C. 3, 5, 7
e
D. 4, 8, 10
A package of six pairs of socks costs $18.99. How much does each pair cost?
Answer: $3.17
Step-by-step explanation:
18.99/6=3.165
Answer:
3.165
Step-by-step explanation:
All you had to do was divide 18.99 and 6
List the terms of the polynomial. Give the coefficient of the second term. -4y5 + 6x4 +9w³ - 4w - 1 Separate terms using commas. Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c . Make sure your variables match those in the question. Terms Coefficient
The coefficient of the second term, 6x⁴, is 6.
The terms of the polynomial are:
-4y⁵, 6x⁴, 9w³, -4w, -1
The coefficient of the second term, which is 6x⁴, we look at the number in front of the variable term.
The coefficient is 6.
Therefore, the list of terms is:
-4y⁵, 6x⁴, 9w³, -4w, -1
Each term represents a separate component of the polynomial, where the variable is raised to a certain power and multiplied by its coefficient.
The coefficients indicate the scalar value by which each term is multiplied.
The polynomial's terms are -4y5, 6x4, 9w3, -4w, and -1.
Looking at the number in front of the variable term, we can determine the second term's coefficient, which is 6x4.
There is a 6 coefficient.
As a result, the terms are as follows: -4y5, 6x4, 9w3, -4w, and -1.
Each term represents a different part of the polynomial, where the variable is multiplied by its coefficient and raised to a given power.
The scalar value by which each phrase is multiplied is shown by the coefficients.
For similar questions on coefficient
https://brainly.com/question/1038771
#SPJ8
Help quickly as possible thank you :)
Answer:
im pretty sure it 1641 square miles
On a coordinate plane, the x-axis is labeled Turkey hot dogs and the y-axis is labeled dollars. Points (2, 1) and (4, 2) are plotted. Use equivalent ratios to decide which statements are true about the cost per hot dog. Check all that apply. The cost of 2 turkey hot dogs is $1. The cost of 1 turkey hot dog is $2. The cost of 4 turkey hot dogs is $2. The cost of 3 turkey hot dogs is $2. The cost of 6 turkey hot dogs is $3. The cost of 10 turkey hot dogs is $5.
Answer:
A C E F
Step-by-step explanation:
Answer:
A, C, E, and F.
I am stuck please help with this graph.
An equation for the function graphed above include the following: g(x) = -1/4|x + 1| - 2.
How to interpret and determine the equation of g(x)?By critically observing the graph of this absolute value function, we can reasonably infer and logically deduce that the parent absolute value function f(x) = |x| was vertically compressed by a factor of 1/4, reflected over the x-axis, followed by a vertical translation 2 units down, and then a horizontal translation to the left by 1 unit, in order to produce the transformed absolute value function as follows;
f(x) = |x|
y = A|x + B| + C
g(x) = -1/4|x + 1| - 2
In conclusion, the value of the variables A, B, and C are -1/4, 1, and 2 respectively.
Read more on absolute value function here: brainly.com/question/28308900
#SPJ1
The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
I need help with this
The statement that is equivalent to |6x-3|=3 is: 6x-3=3 or 6x-3=-3
For the equation to be true, two scenarios need to be considered:
When the expression 6x-3 is positive and equals 3:
6x-3 = 3
When the expression 6x-3 is negative and equals -3:
6x-3 = -3
By solving these two equations, we can find the equivalent statement:
Solving 6x-3 = 3:
Adding 3 to both sides gives us:
6x = 6
Dividing both sides by 6:
x = 1
Solving 6x-3 = -3:
Adding 3 to both sides gives us:
6x = 0
Dividing both sides by 6:
x = 0
Therefore, the equivalent statement to |6x-3|=3 is:
6x-3=3 or 6x-3=-3, which can be further simplified to:
6x-3=3 or 6x-3=-3
Learn more about inequalities here:
https://brainly.com/question/30231190
#SPJ1
jane is twice as old as Barbara. Michael is 7 years older than Jane. If Michael is 21, which equation could be used to find Barbara's age
Step-by-step explanation:
J = 2b
M = J + 7
M = 21
J = 21 - 7
J = 14
B = 7
Equation:
If M is J+7, so then J = 21-7. J is 2*b, so 2*b = 21-7. Then you subtract and divide.
What is the value of x?
Enter your answer in the box. X =
28 cm, 42cm, 4 cm
Answer:
x = 6cm
Step-by-step explanation:
The two triangles are similar because of the stated similar angle and the angles at the intersection are the same because they share the same line. Therefore the last angle must also be the same.
The triangle on the right is 4/28, or 1/7 the scale of the left triangle.
42cm / 7 = 6