Answers
Answer:
x is 10
Step-by-step explanation:
Form the diagram, you can see that UV is parallel to TS, this means that <UVS = < UTS
Given
<UVS = 5x + 38
<UTS = 12x - 28
Since the sum of opposite angle of a quadrilateral is 180 degrees, hence;
5x + 38 + 12x - 28 = 180
Collect like terms
5x + 12x - 28 + 38 = 180
17x + 10 = 180
17x = 180-1-
17x = 170
x = 170/17
x = 10
hence the value of x is 10
Related Questions
Dione is designing a water fountain for the lobby of a new hospital. She knows that the fountain will have a circular pool with water projected upward at a constant rate from the center of the pool. She needs to determine the maximum height, so she uses a linear model to represent the situation.
Answers
Answer:
Diane did not choose a good model. Because the water is a projectile with a maximum height, she should use a quadratic model
Step-by-step explanation:
Here, we want to choose the correct option
As we are having a circular projection, we should be looking at having a parabolic representation i.e a model that looks like a parabola
So the correct answer in this case is that;
Diane did not choose a good model. Because the water is a projectile with a maximum height, she should use a quadratic model
Question Progress
Simplify fully
a) 8c^4d^5÷2c3^d^3
b)9a3b5/3ab2
Answers
Answer:
A.) 4cd^2
B.) 3a^2b^3
Step-by-step explanation:
simplify by following the rules to adding exponents
solve: logx 64 = 3. Which is an equivalent equation?
Answers
By applying the definition of logarithm, you have
\log_x(64) = 3 \iff x^3 = 64logx(64)=3⟺x3=64
So, if you consider the cubic root of both sides, you have
x = \sqrt[3]{64} = 4x=364=4
Answer:
x
=
4
,
−
2
+
2
i
√
3
,
−
2
−
2
i
√
3
Step-by-step explanation:
At David's Swimwear, 50% of the 36 swimsuit styles are bikinis. How many bikini styles are there?
Answers
9514 1404 393
Answer:
18
Step-by-step explanation:
50% × 36 = 0.50 × 36 = 18
There are 18 bikini styles at David's Swimwear.
Answer:
18 bikini styles.
Step-by-step explanation:
Divide 36 by 2.
please help me on this! will give u brainliest tyy.
Answers
Answer:
A. The balloon is at its initial height
B. The boxer is 0 pounds from her starter weight
C. The company's size is smaller
Step-by-step explanation:
For A, -30+30 is equal to 0 so its gonna be the same height it was before.
For B, Gaining 7 pounds and losing 7 pounds means you are neither bitter or smaller. (-7+7=0)
For C, Losing 15 employees and gaining none means that there are less than there were previous meaning the company is now smaller.
Hope this helps.
PLEASE HELP HURRY LOOK AT IMAGE!!!!
Answers
6x + 3y = 12
4x + y = 14 what is the solution
Answers
Answer:
x=5 y=-6
Step-by-step explanation:
6x + 3y = 12 , 4x + y = 14
4x*3+y*3=14*3
12x+3y=42 , 6x+3y=12
(12x-6x)+(3y-3y)=30
6x=30, x=5
4*5 + y = 14
y=-6
What is the equation in standard form of a line that passes through the point (-2, 5) and has a slope of -0.3?
Answers
Answer:
y= −0.3x+4.4
Step-by-step explanation:
One of the angles of a triangle is 8 deg more than 5 times another angle. If the third angle is 4 deg larger than the difference of the first two angles, find the angles.
Answers
Answer:
[tex]16^\circ, 88^\circ, 76^\circ[/tex]
Step-by-step explanation:
Given a triangle.
One of the angles is [tex]8^\circ[/tex] more than 5 times of one angle.
Third angle is [tex]4^\circ[/tex] more than the difference of two angles.
To find:
The angles.
Solution:
Let the first angle = [tex]x^\circ[/tex]
As per question statement, second angle = 5[tex]x^\circ[/tex] + [tex]8^\circ[/tex]
And third angle = 5[tex]x^\circ[/tex] + [tex]8^\circ[/tex] - [tex]x^\circ[/tex] + [tex]4^\circ[/tex] = [tex](4x+12)^\circ[/tex]
Using triangle sum property that the sum of all the internal angles of a triangle is always equal to [tex]180^\circ[/tex].
[tex]x+5x+8+4x+12 = 180\\\Rightarrow 10x+20=180\\\Rightarrow 10x = 160\\\Rightarrow x = 16[/tex]
Therefore, the first angle = [tex]x^\circ = 16^\circ[/tex]
The second angle = [tex]5x+8 = 5 \times 16 + 8 = 80+8 = 88^\circ[/tex]
The third angle = [tex]4x+12 = 4\times 16 + 12 = 76^\circ[/tex]
Therefore, the angles are [tex]16^\circ, 88^\circ, 76^\circ[/tex].
A line AB joins the points A (3,4) and B (5,8). Write down the coordinates of the midpoint of the line AB
Please help
Thank you
Answers
Given:
A line AB joins the points A (3,4) and B (5,8).
To find:
The midpoint of the line AB.
Solution:
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
A line AB joins the points A (3,4) and B (5,8). So, the midpoint of line AB is
[tex]Midpoint=\left(\dfrac{3+5}{2},\dfrac{4+8}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{8}{2},\dfrac{12}{2}\right)[/tex]
[tex]Midpoint=\left(4,6\right)[/tex]
Therefore, the midpoint of the line AB is (4,6).
Between what two integers is √70?
Answers
Answer:
8 and 9
Step-by-step explanation:
8^2 is 64 and 9^2 is 81 so 8 and 9
Use the distributive property to write an expression that is equivalent to 9(c+5).
Answers
Answer:
9c + 45
Step-by-step explanation:
The distributive property also known as distributive law of multiplication and division.
In the given expression, distributive law of multiplication is applied where we can multiply first before addition.
Given
9(c+5)
Using distributive property
9(c+5)
= (9 × c) + (9 × 5)
= 9c + 45
9(c+5) = 9c + 45
what is the ratio of feet to inches on a measuring tape
Answers
Answer:
its multipled by 12
Step-by-step explanation:
Answer:
1 ft = 12
Step-by-step explanation:
The length in inches is equal to the feet multiplied by twelve
All you got to do is answer question means 4, 5, 7, 8! Basically all you Gotta do is read the sentence and then match it with one of the equations to the right that aren’t crossed off, !
4?
5?
7?
8?
Answers
There's no picture to it.
1.6-metre tall man stands 11 m from the base of a tree. He views the top of the tree at an
angle of elevation of 58°. How tall is the tree?
Answers
Answer:
17.60mStep-by-step explanation
The set up is a right angled triangle
Given
angle of elevation = 58°
Distance of the man from the tree = adjacent = 11m
Required
Height of the tree h (Opposite)
Using the TOA identity
tan theta = opposite/adjacent
tan 58 = h/11
h = 11tan58
h = 11(1.6)
h = 17.60
Hence the tree is 17.60m tall
Dylan, Alan, Bruce, and Cecil are brothers. Dylan weighs d pounds. Alan weighs 3 pounds more than twice what Dylan weighs. Bruce weighs 12 pounds less than three times what Dylan weighs. If Cecil weighs the same as the combined weight of Bruce and Alan, what is Cecil’s weight in terms of Dylan’s weight (d)?
Part A
Alan weighs 3 pounds more than twice what Dylan weighs. Write an expression to represent Alan’s weight in terms of Dylan’s weight.
Part B
Bruce weighs 12 pounds less than three times what Dylan weighs. Write an expression for Bruce's weight in terms of Dylan's weight
Part C
Cecil weighs the same as the combined weight of Bruce and Alan. Use the expressions you found in parts A and B to write an expression for Cecil's weight in terms of Dylan’s weight.
Part D
Assume that Dylan weighs 45 pounds. Use the expression from part C to calculate Cecil’s weight.
Part E
Recall the linear expression for Cecil’s weight in part D. Before plugging values into it, could you have simplified the expression? If yes, explain how.
Part F
Simplify the expression (2d + 3) + (3d − 12).
Part G
Dylan weighs 45 pounds. Use the simplified expression you found in Part F to recalculate Cecil’s weight. Show your work.
Part H
Did you get the same answer for Cecil’s weight in parts D and G? What can you conclude about the expressions you developed in parts D and G?
Part I
Let's try something a bit different. The four brothers know that Bruce weighs more than Alan. Write an expression to represent how much more Bruce weighs than Alan. Write the in terms of Dylan’s weight, d.
Part J
Dylan weighs 45 pounds. Use the expression you derived in part I to calculate how much more Bruce weighs than Alan.
Part K
Now simplify the expression (3d − 12) − (2d + 3) you wrote in part I.
art L
Dylan weighs 45 pounds. Use the simplified expression you found in part K to recalculate how much more Bruce weighs than Alan. Did you get the same answer as in part J? If not, be sure to check your work, particularly the positive and negative signs.
PLEASE HELP I WILL DO YOUR WORK IF YOU DO THIS FOR ME PLZZZZZZZZZZZZZZZ
Answers
Answer:
PART A- 3+D POUNDS
PARTB- 3D-12
Step-by-step explanation:
dylan-d pounds
alan-3+d pounds
bruce-3d-12
Answer:
Alan = A
Bruce = B
Cecil = C
Dylan = D
Part A A = 2 x D + 3
Part B B= 3 x D - 12
Part C C= A+B A = 2 x D + 3 B= 3 x D - 12
Part D Cecil weighs 216 pounds
Part E Yes, the expression can be simplified by using the Associative and Commutative Properties of addition and by combining the like terms in the expression.
Part F 5d-9
Part G Cecil’s weight in terms of Dylan’s weight is 5d – 9. Find Cecil’s weight by substituting Dylan’s weight (d = 45) into the expression above:
(5 × 45) − 9 = 225 − 9 = 216.
If Dylan weighs 45 pounds, then Cecil weighs 216 pounds.
Part H Yes, the answers are the same. The expression from part D is equivalent to the expression from part G.
Part I Bruce's weight in terms of Dylan’s weight is 3d − 12. Alan's weight in terms of Dylan’s weight is 2d + 3.
So, the expression (3d − 12) − (2d + 3) represents how much more Bruce weighs than Alan.
Part J The expression is (3d − 12) − (2d + 3). Evaluate the expression by substituting Dylan’s weight (d = 45) into it: (3 × 45 − 12) − (2 × 45 + 3) = (135 − 12) − (90 + 3) = (123) − (93) = 30.
Bruce weighs 30 pounds more than Alan weighs.
Part K (3d − 12) − (2d + 3).
First remove the parentheses:
3d − 12 − 2d − 3.
Then group the like terms:
3d − 2d − 12 − 3.
Finally, subtract the like terms:
d − 15.
The expression (3d − 12) − (2d + 3) simplifies to d − 15.
Part L The expression is d − 15. Evaluate the expression by substituting Dylan’s weight (d = 45) into it: 45 − 15 = 30.
Bruce weighs 30 pounds more than Alan. This is the same answer as in part J.
Step by step explanation:
So you basically want to focus on Alan and Bruce they will help you get the rest of your answers
Note:
Some of these are direct answers from Edmentum
Divide. Write your answer as a fraction or mixed number in simplest form.
-15/7 ÷ 18/35
Answers
Answer: -4 1/6
Step-by-step explanation:
-15/7 ÷ 18/35
-15/7 x 35/18
-5 x 5/6
-25/6
-4 1/6
Read the excerpt from Heart of a Samurai.
Each of them was also given a metal stick, with four prongs on one end.
“Fork,” the sailor said – and showed them they should use it to eat the rice.
The fishermen recited their prayer before eating. “Itadakimasu – I will humbly receive.”
Then Goemon said, “It might be poison.”
What can readers infer based on details in the excerpt?
A. Goemon likes new experiences.
B. Goemon is not afraid of his rescuers.
C. Goemon does not trust his rescuers.
D. Goemon has used a fork before.
Answers
Answer:
c. goemon does not trust his rescuers.
Step-by-step explanation:
goemon said it might be poison.
he was cautious about eating the food.
Plz need help thank u sm
Answers
Answer:
x = 5
Step-by-step explanation:
Since the problem shows us that all the angles of the triangle are equal, we can confirm this is an equilateral triangle. Equilateral triangles have the same angles and the same side lengths. Knowing this, we can set up an equation to solve for x.
6x - 5 = 5x (Given)
-5 = -x (Subtract 6x on both sides)
5 = x (Divide -1 on both sides)
Therefore, x = 5.
Answer:
x = 5
Step-by-step explanation:
Since all the three angles of the triangle GJH are marked by identical signs, thus they are congruent.
Therefore, triangle GJH is an equilateral triangle.
Measures of all sides of an equilateral triangle are equal.
So,
6x - 5 = 5x
6x - 5x = 5
x = 5
32) Convert this fraction to a decimal number: 4/10
Answers
Answer:
40%
Step-by-step explanation:
Hope this helps
Have a great day/night
Given that f(x)=2x+1
a) find f(2)
b)find f^-1(x)
c)f^-1(7)
Answers
Answer:
a) [tex]f(2) = 5[/tex], b) [tex]f^{-1} (x) = \frac{x-1}{2}[/tex], c) [tex]f^{-1} (7) = 3[/tex]
Step-by-step explanation:
a) We evaluate the function at [tex]x = 2[/tex]:
[tex]f(2) = 2\cdot (2) + 1[/tex]
[tex]f(2) = 4+1[/tex]
[tex]f(2) = 5[/tex]
b) First, we determine the inverse of the function by algebraic means:
1) [tex]y = 2\cdot x + 1[/tex] Given
2) [tex]y +(-1) = 2\cdot x + [1+(-1)][/tex] Compatibility with addition/Associative property
3) [tex]y + (-1) =2\cdot x[/tex] Existence of additive inverse/Modulative property
4) [tex]2^{-1}\cdot [y+(-1)] = (2\cdot 2^{-1})\cdot x[/tex] Compatibility with multiplication/Commutative and associative properties
5) [tex][y+(-1)]\cdot 2^{-1} = x[/tex] Existence of multiplicative inverse/Modulative and commutative properties
6) [tex]x = [y+(-1)]\cdot 2^{-1}[/tex] Symmetry property of equality
7) [tex]x = \frac{y-1}{2}[/tex] Definitions of subtraction and division
8) [tex]f^{-1} (x) = \frac{x-1}{2}[/tex] [tex]x = f_{-1} (x)[/tex]/[tex]y = x[/tex]/Result
c) Now we evaluate the expression obtained on b) at the given number:
[tex]f^{-1} (7) = \frac{7-1}{2}[/tex]
[tex]f^{-1} (7) = 3[/tex]
Please help, this is called Writing Equations
Answers
Answer:
I think its the 2nd one im not sure tho
Step-by-step explanation:
Answer:
first one is 14.
second one is 131-11=6B
Step-by-step explanation:
1) 252/18=14
2) you want to know how much 6 books sre and it says you got 11 dollars change so u take 11 from 131 to get the price of 6 books
hope that helps :)
2(2x + 4) - (5x - 3)
Answers
Answer:
-x + 11
Step-by-step explanation:
Distribute 2 into 2x + 4 to get 4x + 8, convert the negative sign for the second pair of parentheses to get - 5x + 3. Combine the two like terms together to get the final answer which is -x + 11.
What name best describes this shape?
quadrilateral
rhombus
square
trapezoid
Submit
Answers
What shape lol? Gotta snag those points ;)
Calculate |m| if m=21-72i. Round off answer to nearest hundred
Answers
Answer:
n6666667900087474455
Pls help me ASAP!
Evaluate the following
a: |8| - 9 =
b: |8 - 9| =
Answers
Answer:
a = -1
b= 1
Step-by-step explanation:
8's absolute value is 8, so 8 - 9 is -1 but 8-9 = -1 and since the answer is in the absolute value bars, -1's absolute value is 1, so the answer will be 1
but in a, only 8 is in the absolute value bars, not the complete answer
Help with this please
Answers
Question 4 Given: f(x) = -3x – 3 and g(x) = x2 + 5 Find (f - g) ().
Answers
Answer:
We get [tex]\mathbf{(f-g)(x)= -x^2-3x-8}[/tex]
Step-by-step explanation:
We are given:
[tex]f(x) = -3x - 3\\ g(x) = x^2 + 5[/tex]
We need to find (f-g)(x) (assuming there is x in the bracket, i.e. (f - g) () should be (f-g)(x))
We would simply subtract f(x) and g(x)
[tex](f-g)(x)\\= -3x-3-(x^2+5)\\Multiply\:minus\:sign\:with\:terms\:inside\:the\:bracket\\=-3x-3-x^2-5\\Combining\:like\:terms:\\=-x^2-3x-3-5\\=-x^2-3x-8[/tex]
So, We get [tex]\mathbf{(f-g)(x)= -x^2-3x-8}[/tex]
PLEASE HELP! I WOULD TRULY APPRECIATE IT :(
When trying to find solutions to the system of equations
x+y=3
2x+2y = 6
you take several correct steps that lead to the expression 0=0.
Which statement is true?
A x=0 and y=0
B
The system has no solution.
The system has one solution, but we don't know what it is.
D
The system has infinitely many solutions.
Answers
Answer:
D
Step-by-step explanation:
Let me know if I was right :( don't be mean pls
Which of these is a unit rate? (from time4learning)
(A). $3.50 for 2 gallons of juice
(B). $5.00 for 3 pounds of cheese
(C). $4.25 for 1 watermelon
(D). $2.75 for 6 hamburger rolls
Answers
Answer:
B
Step-by-step explanation:
