The solution is: the value of x, and the angles m∠SQT and m∠RQS are:
x = 23, m∠RQS = 72°, m∠SQT = 83°.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
Here, we have,
Since we are not told what to look for, we can as well look for the value of x, m∠SQT and m∠RQS
Given
m∠RQS=(4x-20)°
m∠SQT=(3x+14)°
m∠RQT=155°
The addition postulate is true
m∠RQT= m∠RQS + m∠SQT
Substitute the given parameters into the formula
155 = 4x-20+3x+14
155 = 7x-6
7x = 155+6
7x = 161
x = 161/7
x = 23
Solve for m∠RQS
m∠RQS = 4x-20
m∠RQS = 4(23)-20
m∠RQS = 92-20
m∠RQS = 72°
Solve for m∠SQT
m∠SQT = 3x+14
m∠SQT = 3(23)+14
m∠SQT = 69+14
m∠SQT = 83°
Hence, The solution is: the value of x, and the angles m∠SQT and m∠RQS are: x = 23, m∠RQS = 72°, m∠SQT = 83°.
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complete question:
S is in the interior of ∠RQT. m∠RQS=(4x-20)°,m∠SQT=(3x+14)°, and m∠RQT=155°
Point C is on line segment BD. Given CD = 2x, BD = 3x + 4, and
BC = 2x – 1, determine the numerical length of BD.
Answer:
19
Step-by-step explanation:
congruence transformation pls help im despo
Answer:
X,2,3
Step-by-step explanation:
LEARN THIS PLZ
Answer:
Step-by-step explanation:
Reflect over Ox axis , then translate x+6 , y-1
One way to show that a statement is NOT a good definition is to find a ____. a. converse b. counterexample c. biconditional d. conditional
Answer: b. counterexample
A counterexample contradicts the statement or definition you're trying to set up.
For example, if you said that 2x+3x = 7x was true for all x values, then all you need to do is try something like x = 2 to find the original equation simplifies to 10 = 14, which is false. In this case, the counterexample is x = 2 invalidating the equation 2x+3x = 7x.
B is between A and C, AC = 14 and BC = 11.4. Find AB
Answer: 2.6
Step-by-step explanation:
1. We know that A to C is 14
2. B to C is 11.4 so we're going to find the remainder to equal 14.
3. 14 minus11.4 which equals 2.6
4. AB is 2.6
PLEASE HELP WILL MARK BRAINLIEST
27+y=14 y=3x²-4
Answer:
First one- y = -13
Step-by-step explanation:
27 + y = 14 (Rearrange equation)
y = 14 - 27 (Combine like terms)
y = -13
which angles are acute?
check all that apply.
Answer:
C&D
Step-by-step explanation:
I just took the quiz, I hope this helps! <3
Which statements comparing the functions are true? Check all that apply. F(x) and h(x) have x-intercepts. F(x), g(x), and h(x) have y-intercepts. The domain of g(x) includes more values than the domains of f(x) and h(x). The range of g(x) includes more values than the ranges of f(x) and h(x). G(x) has the greatest maximum. H(x) has the lowest minimum.
Answer:
First one second one and fifth one.
Step-by-step explanation:
Got it right on edge
can i please have more daily answers please.
What is the area of the triangle
Answer:
100
Step-by-step explanation:
Ignore the 15 yard you have to use the center number which is 5 and multiply by the length 20 this gives you 100 becaus 20*5 equals 100. You got your answer!!
Studio fee:$8 per hour
Vase:$10
Answer:
4.5 hours
Step-by-step explanation:
So, let's write a function p(x) which represents the total cost.
Let's let x represent the amount of hours.
The cost of a piece is a constant 10.
And there is a $8 fee per hour. In other words:
[tex]p(x)=8x+10[/tex]
We spent a total of $46.
So, substitute in 46 for p(x) and solve for x:
[tex]46=8x+10[/tex]
Subtract 10 from both sides:
[tex]36=8x[/tex]
Divide both sides by 8:
[tex]x=36/8[/tex]
Reduce:
[tex]x=4.5[/tex]
So, we spent about 4.5 hours.
The volume of a cylinder is 500pi cm. The radius of the base of the cylinder is 5 cm. What is the height of the cylinder?
Answer:
20cm
Step-by-step explanation:
Volume of cylinder = (pi) r^2 x height.
Rearrange:
500pi/5^2 pi = height
500pi/25pi = 20
Height = 20cm
Hope this helped!
is the sum of 4/7+-1/3
Answer:
5/21
Step-by-step explanation:
=>4/7+(-1/3)
=>4*3/7*3+(-1*7/3*7)
=>12/21-7/21
=>5/21
Answer:
5/21
Step-by-step explanation:
4/7+ (-1/3)4/7= 12/21-1/3=7/21
= 5/21
When you add or subtract decimals, what is one piece of advice you would share as a reminder to another student to help them find the right solution without the use of a calculator?
Answer:
One tip I can give is to always line up your decimals when adding or subtracting.
Step-by-step explanation:
If you don't then you will get it wrong.
find the x and y intercepts of 7/3x-1/3y=1
Answer:
x- intercept is at [tex]( \frac{3}{7} ,0)[/tex].
y-intercept is at [tex](0, - 3)[/tex].
Step-by-step explanation:
Please see the attached pictures for full solution.
The length of the garden is 5 times it’s width. The garden width is x feet. What is the total amount of fencing around the garden.
Answer:
five times the number, the result is 36. Find the number. 36. -36. - 3. 5. X? +5x = 36. X2 +5% -36 = 0 ... make the total revenue from the books equal to. $1426? ... w (²W + 3) = 27. 21 The length of a rectangle is 4 feet more than its width. If the area of ... area that is 25% more than the original square garden. X+10. +88. X+8. 2x.
10 points
6.69696969... will be classified as what according to the real number
system?
Real, irrational
Real, rational, integer
real, rational, integer, whole number
real, rational, integer, whole number, natural number
real, rational, irrational, integer, whole number, natural number
Real, rational
Answer:
Real, Rational and integer
Step-by-step explanation:
source: trust me bro
5x+4x+3x=180. What is the smallest angle?
Answer:
45
Step-by-step explanation:
5x+3x+4x=12x
so 12x=180
x=180÷12
x=15
so smallest angle = 3x = 3×15=45
Help please!!!!!!!!:(
Answer:
Step-by-step explanation:
As seen from the first given equation: x + 1/x = 2
If we think of x as x/1 instead then we get:
x/1 + 1/x = 2.
To combine the fractions we multiply the top and bottom of the first one (x/1) by x to get x^2/x so both have the same denominator so we can combine them which gives us:
(x^2+1)/x=2
Move x to the other side and we get:
x^2+1=2x
Move it back and we get a quadratic equation of
x^2 - 2x + 1
This factors into (x-1)(x-1) meaning x=1
For all the other equations they are equal because x=1.
1 to the power of anything is still one so each of the equations below will result in: 1+1/1 which is 2.
Therefore all of them are equal.
Hope this helped!
Candice is taking a group nature hike in a park. There is a $18.00 fee just to enter the park. In addition, the tour group charges $0.11 per mile they hike. She brought $32.00 with her. Which equation can be used to determine how many miles can she hike?
View the spinner. What is the probability that the spinner will land on a red section of the circle? 1/5 2/5 3/5 4/5
Answer:it’s 1/5
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
Which equation shows the product 2.4 x 10?
PLZ HELP :(
Answer:
24Step-by-step explanation:
[tex]2.4\times\:10\\[/tex]
Multiply without the decimal points then put the decimal point in the answer
[tex]24\times\:10=240\\[/tex]
2.4 has 1 decimal place
10 has 0 decimal places
Therefore, the answer has 1 decimal place
[tex]\\=24.0\\\\=24[/tex]
The value product of 2.4 × 10 will be 24.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The expression is,
⇒ 2.4 × 10
Now,
Since, The expression is,
⇒ 2.4 × 10
After multiply, we get;
⇒ 2.4 × 10 = 24
Thus, The value = 24
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What is the value of y in the equation 6.4x + 2.8y = 44.4, when x = 3?
Answer:
y = 9
Step-by-step explanation:
Given
6.4x + 2.8y = 44.4 ← substitute x = 3 into the expression
6.4(3) + 2.8y = 44.4
19.2 + 2.8y = 44.4 ( subtract 19.2 from both sides )
2.8y = 25.2 ( divide both sides by 2.8 )
y = 9
1/10 multiplied by 6
Hey there!
[tex]\huge{ \fbox{ \sf{0.6}}}[/tex]
[tex]1/10*6[/tex]
Let's simplify.
[tex]1/10*6=0.6\\0.6\text{(ANSWER)}[/tex]
Hope this helps!
[tex]\text{Please rate this answer and thank!}\\\text{-TestedHyperr}[/tex]
Answer:
0.6
Step-by-step explanation:
1/10 * 6 = 0.6
0.6 is the answer to your question.
Which two transformations must be applied to the graph of y = ln(x) to result in the graph of y = –ln(x) + 64?
A) reflection over the x-axis, plus a vertical translation
B) reflection over the y-axis, plus a vertical translation
C) reflection over the x-axis, plus a horizontal translation
D) reflection over the y-axis, plus a horizontal translation
Answer: A) reflection over the x-axis, plus a vertical translation
Step-by-step explanation:
Ok, when we have a function y = f(x)
> A reflection over the x-axis changes a point (x, y) to a point (x, -y), then for a function (x , y = f(x)) the point will change to (x, -y =- f(x))
then for a funtion g(x), this tranformation can be written as h(x) = -g(x).
> A vertical translation of A units (A positive) up for a function g(x) can be written as: h(x) = g(x) + A.
Then in this case we have:
y = g(x) = ln(x)
and the transformed function is h(x) = -ln(x) + 64
Then we can start with h(x) = g(x)
first do a reflection over the x-axis, and now we have:
h(x) = -g(x) = -ln(x)
And now we can do a vertical translation of 64 units up
h(x) = -g(x) + 64 = -ln(x) + 64
Then the correct option is:
A) reflection over the x-axis, plus a vertical translation
Answer:
A
Step-by-step explanation:
edge
can someone plz help me x-y/2z=3
Answer:
x-y/2z=3
2z(x-y)/2z = 3 × 2z
x-y = 6z
x-y/6 = 6z/6
z = x-y/6
x-y/2z = 3
2z(x-y)/2z = 3 × 2z
x - y = 6z
x-y+y = 6z + y
x = 6z + y
x-y/2z=3
2z(x-y)/2z = 3 × 2z
x-y = 6z
-x + x - y = 6z - x
-y = 6z - x
-y/-1 = 6z - x / -1
y = -6z + x
The expression is written as;
⇒ x = 6z + y
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ (x - y) / 2z = 3
Now, Simplify the expression for x as;
⇒ x - y = 3 × 2z
⇒ x - y = 6z
⇒ x = 6z + y
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“The product of a number and 4”
Answer:
Mmm... a product would be like 10+4=14
Step-by-step explanation:
thats what you are looking for right
A pound of fertilizer covers 42 square feet of lawn. Vivian Bulgakov’s lawn measures 8720.1 square feet. How much fertilizer, to the nearest tenth of a pound, does she need to buy
Jose unlocks his cellphone by placing his right thumb on a square of 1 centimeter by 1 centimeter at the center of the screen. Upon recognizing his thumbprint, the square expands outward. The cellphone unlocks when the perimeter reaches 32 centimeters, taking a total of 2.5 seconds. What is the perimeter of the square after 1.5 seconds? How is the answer 20.8?
Answer:
C on edge
Step-by-step explanation:
20.8cm
What is 3w(2+4x-5+y)
Answer:
-9w+12wx+3wy
Step-by-step explanation:
just distribute 3w through the parentheses
pls what is mapping amd function in further maths
Step-by-step explanation:
A function is a special type of relation in which each element of the domain is paired with exactly one element in the range. A mapping shows how the elements are paired in the mapping the second element of the range Associates with more than one element in the domain