x = 30
This answer makes a lot of use of supplementary angles. Because of it <GFE is 180 - 4x and <GEF is 180 - 2x. Then, because there are 180 degrees in a triangle you can determine that:
180 - 2x + 180 - 4x + x = 180
360 - 6x = 180
-6x = -180
x = 30
Hope it helps <3
Answer:
x =36
Step-by-step explanation:
The inside angle on the left is 180 -2x
The inside angle on the right is 180 -4x
The sum of the angles of a triangle is 180
180 -2x + x + 180 -4x = 180
Combine like terms
360 - 5x = 180
Subtract 360
-5x = -180
Divide by 5
x =36
1.
Identify the translation of the parent function for y = [xl - 6.
6 units left
6 units up
6 unit right
6 units down
Answer:
6 units down
Step-by-step explanation:
Transformation is the movement of a point from its original position to a new position. If an object is transformed, all the point making the object is also transformed. There are four different transformations: Reflection, dilation, translation and rotation.
If y = f(x), y = f(x) + k is a translation k units up if k > 0 and is a translation k units down if k < 0
Given that the parent function is an absolute value represented by:
y = |x|
Therefore comparing y = |xl - 6 with y = f(x) + k, k < 0, therefore this is a translation of 6 units down
14. An animal shelter has a ratio of dogs to cats that's 3:2. If there are 30 cats at the shelter, how many dogs are there?
A. 45
B. 90
C. 15
D. 20
Answer:
your answer would be 45 I hope this was helpful
Step-by-step explanation:
Answer:
The answer is A, 45.
Step-by-step explanation:
An audiologist is testing a patient to determine the softest sound of a specific frequency that the patient reports hearing. She begins with a 10 decibel (dB) sound for trial 1, then increases the volume by 2 dB for each trial after that. If the patient can hear all sounds of that frequency that have a volume louder than 26 dB, and t represents the trial numbers that the patient can hear, which of the following inequalities best models the situation described above?
Answer:
26 <t+2
Step-by-step explanation:
The volume has to be louder than 26 so the inequaltiy sign should be an x is greater than sign and the intervals increase by 2 so you can add 2 to each x.
Hope this helps!
What are the domain and range of f(x) = 2|x – 4|?
Answer:
Domain:(negative infinity, positive infinity)
Range:bracket 0, positive infinity)
Step-by-step explanation:
A person can do a job in 6 days. Another can do the same job in 4 days. If they work together, how long do they need to finish the job?
Answer:
2.4 days
Step-by-step explanation:
Time working together,t ,is
1/t = 1/a+ 1/b where a and b is the times working alone
1/t = 1/4 + 1/6
Multiply each side by 12t to clear the fractions
12t( 1/t )= 12t(1/4 + 1/6)
12 = 3t+2t
12 = 5t
Divide by 5
12/5 = 5t/5
2 2/5 =t
2.4 days
Answer:
2.4 days
Step-by-step explanation:
i just took a test and got a 100%
Given: QR I PT and ZQPR = ZSTR
Angles Segments Triangles Statements Reasons
Prove: APQR - ATSR
ZQPR
ZQRP
ZSRT
ZSTR
Q
Statements
Reasons
S
R
Assemble the proof by dragging tiles to
the Statements and Reasons columns.
Intro
To prove that Triangles PQR and TSR are similar triangles, the following are the complete two-column proof stating the statements with their reasons:
S1: QR is perpendicular to PT
R1: Given
S2: <QRP and <SRT are right angles
R2: Definition of perpendicular
S3: <QPR = <STR
R3: Given
S4: <QRP = <SRT
R4: All right angles are congruent
S5: Triangle PQR is similar to triangle TSR
R5: AA Similarity Theorem
What is the AA Similarity Theorem?According to AA Similarity Theorem, if two triangles have two pairs of congruent angles, then both triangles are similar to each other.Therefore, to prove that Triangles PQR and TSR are similar triangles, the following are the complete two-column proof statimg the statements with their reasons:
S1: QR is perpendicular to PT
R1: Given
S2: <QRP and <SRT are right angles
R2: Definition of perpendicular
S3: <QPR = <STR
R3: Given
S4: <QRP = <SRT
R4: All right angles are congruent
S5: Triangle PQR is similar to triangle TSR
R5: AA Similarity Theorem
Learn more about AA Similarity Theorem on:
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Answer:
Step-by-step explanation:
-6+4q+(-6q) help me with this expression please
Answer:
-2q - 6
Step-by-step explanation:
Step 1: Rewrite expression
-6 + 4q - 6q
Step 2: Combine like terms
-6 - 2q
Step 3: Rearrange
-2q - 6
Answer:
The like terms are 4q and -6q. Since 4q + (-6q) = -2q the answer is -6 - 2q.
What is the solution to the system of equations graphed below?
y = -4x + 2
6
y = x-3
Answer:
y=14/5, x=29/5
Step-by-step explanation:
Find the measure of angle C of a triangle ABC, if: d m∠A = 60°+α, m∠B = 60°−α
Answer:
60°
Step-by-step explanation:
DISCLAIMER:
the triangle is the pic is for representation purposes only.
Or in other words, we don't know what kind of a triangle is given so I just randomly draw an Acute triangle.
Anyway, if you have any questions about the way I solved it, don't hesitate to ask :)
There are 10 sweets in a bag.
4 are red, 2 are green, 3 are yellow and 1 is purple.
OOOOOOOOOO
A sweet is chosen at random from the bag.
Here is a probability scale:
B C
a) Which letter shows the probability of choosing a yellow sweet?
b) Which letter shows the probability of choosing a sweet that is not orange?
Wenn
Answer:
See Explanation Below
Step-by-step explanation:
Given
Total Sweets = 10
Red = 4
Green = 2
Yellow = 3
Purple = 1
Required
a & b
The question is not properly presented; however the solution is as follows;
A.
Let P(Yellow) represent the probability of selecting a yellow sweet and n(Yellow) represent the number of Yellow sweets;
[tex]P(Yellow) = \frac{n(Yellow)}{Total}[/tex]
[tex]P(Yellow) = \frac{4}{10}[/tex]
[tex]P(Yellow) = 0.4[/tex]
So, whichever letter that shows [tex]0.4[/tex] or [tex]\frac{4}{10}[/tex] is the probability of choosing a yellow sweet
B.
Let P(Orange) represent the probability of selecting an orange sweet and n(Orange) represent the number of orange sweets;
Since, there's no orange sweet in the bag;
[tex]n(Orange) = 0[/tex]
[tex]P(Orange) = \frac{n(Orange)}{Total}[/tex]
[tex]P(Orange) = \frac{0}{10}[/tex]
[tex]P(Orange) = 0[/tex]
In probability; opposite probabilities add up to 1;
Let P(Not\ Orange) represent the probability of choosing a sweet that is not orange
[tex]P(Not\ Orange) + P(Orange) = 1[/tex]
Substitute [tex]P(Orange) = 0[/tex]
[tex]P(Not\ Orange) + 0 = 1[/tex]
[tex]P(Not\ Orange) = 1[/tex]
So, whichever letter that shows 0 is the probability of choosing a sweet that is not orange
Answer:
/
Step-by-step explanation:
Suppose a cube is given. How many different triangles can be formed by connecting 3 of the vertices of the cube?
I think the answer might be 10
Hamish and hairy work as plumbers. Harry earns a dollar more than 5/4 The amount Hamish orange per hour. The amount Harry earns per hour is two dollars less than 7/5the amount Hamish and per hour. How much does each of them earn per hour?
Answer:
Harry earns 26 and Hamish earns 20
Step-by-step explanation:
The computation of the amount earned by each one of them is shown below:
Let us assume the hairy be Y
And, the Hamish be M
It is given that Harry earns a dollar i.e more than 5/4
And, it is $2 less than 7/5
So, the equation would be
y = 1.25m + 1 ...........................(i)
And,
y= 1.4m -2 .............................(ii)
Now equal both the equations
1.25m + 1 = 1.4m - 2
3 = 0.15m
So, m = 20
Now put the values of m in any of the above equation to find out the value of Y
Y = 1.25m + 1
= 1.25 (20) + 1
= 26
helpp i got -4 am i correct?
Answer:
-4
Step-by-step explanation:
Slope is rise over run:
[tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}[/tex]
The table is a linear function, so any two points from the table would have a consistent slope.
Pick two points and apply them to the formula:
(-4,-2) and (-2, -10)
[tex]m=\frac{-10+2}{-2+4}=\frac{-8}{2}=\boxed{-4}[/tex]
The slope is -4. Yes, your answer should be correct.
why does math have to be so hard hellp me
Answer:
g= 4
Step-by-step explanation:
first, you want to subtract 36 from both sides of the equation to get rid of that and the plus sign, and get 6g by itself so that would be -6g=-24. then, you want to divide -6 from both sides, so you get g=4 as your answer. and I promise you that it's not so hard once you get the hang of it.
Answer:
G=4
Hint: Isolate terms with G to the left hand side
Subtract 36 from both sides:
(36-36) -6g = 12-36
Hint: Look for the difference of 2 identical terms.
-6g = -24
Divide by -6 on both sides:
-6g/-6 = -24/-6
g = 4
Hope this helps!
I don't even understand why math is a thing lol
Point Q ′ Q ′ Q, prime is the image of Q ( 3 , − 4 ) Q(3,−4)Q, left parenthesis, 3, comma, minus, 4, right parenthesis under a reflection across the x xx-axis.
Answer:
Q'(3, 4 )
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ), thus
Q(3, - 4 ) → Q'(3, 4 )
Answer:
3,4
Step-by-step explanation:
correct on khan
Points A, B, and C form a triangle. Points A and B are shown on the coordinate plane below. Point C is a reflection of
point B across the x-axis What is the area of the triangle?
6 square units
12 square units
18 square units
36 square units
Answer:
The answer is given below
Step-by-step explanation:
Given that:
Point A = (-4,3) and point B = (2,3)
Since Point C is a reflection of point B across the x-axis, point C has the same x coordinate as point B but the value of the y coordinate is the opposite sign. Therefore the coordinate of point C is (2,-3). The distance between AB is given as:
[tex]AB=\sqrt{(3-3)^2+(2-(-4))^2}=\sqrt{6^2}=6\ units\\BC=\sqrt{(-3-3)^2+(2-2)^2}=\sqrt{6^2}=6\ units\\[/tex]
The height of the triangle is BC and the base is AB. The area of triangle ABC is given as:
Area = 1/2 × base × height = 1/2 × 6 × 6 = 18 unit²
graph x- intercept=4, y- intercept=-3
Answer:
Step-by-step explanation:
Plot the point (4, 0) (the x-intercept) and then the point (0, -3) (the y-intercept). Draw a straight line through these two points.
explain why the length of ac is 13 cm
Answer:
AC=13cm
AD=13,9cm
Step-by-step explanation:
a)Pythagoras' Theorem in ABC, right-angle triangle
AC²=AB²+BC²
AC²=144cm²+25cm²=169cm²
AC=13cm
b)ACD is right-angle triangle
AD²=AC²+CD²
AD²=169cm²+25cm²=194cm²
AD=√194cm
AD=13,9CM
Answer:
Step-by-step explanation:
ABC is a right triangle
So,
AC² = AB² + BC²
= (12 cm)² + (5 cm)²
= 144 cm² + 25 cm²
AC² = 169 cm²
AC = 13 cm
given f(x) = x -2, if the domain is 5, find the range
Answer:
Domain: all real numbers
Range: all real numbers
Step-by-step explanation:
There is no restriction on the variable x, so the domain is all reals.
Similarly, the range is all reals as the graph of this function is a line that is neither vertical nor horizontal.
What's the next step in constructing an inscribed hexagon in the image shown? answers: 1) Connect every other point on circle A with line segments. 2) Draw a circle with center D and radius . 3) Connect the adjacent points on circle A with line segments. 4) Connect the points opposite each other on circle A to create inscribed angles.
Answer:
3) Connect the adjacent points on circle A with line segments.
Step-by-step explanation:
An inscribed hexagon is a regular hexagon (a six-sided figure in which all of its angles are congruent and all of its sides are congruent) which is "inside" a circle (in this case, circle A). In the figure attached, an example is shown.
A
B
a
If c = 16 and B = 67, find a.
a. 4.5
b. 5.6
C. 6.3
d. 7.4
Please select the best answer from the choices provided
СА
ОВ
Answer:
a
Step-by-step explanation:
The measure of side a is 6.3 unit.
What is Sine law?The ratios of the length of a side to the sine of the angle opposite the side must all be the same if A, B, and C are the measurements of the angles of an oblique triangle and a, b, and c are the lengths of the corresponding sides.
Given:
c= 16 and B= 67 degree
<C= 90 degree
Using sine law
b / sin B = c / sin C
b / sin 67 = 16 / sin 90
b/ sin 67 = 16 / 1
b = 16 sin 67
b = 16 x 0.9205
b = 14. 728
Using sine law
c / sin C = a / sin A
16 / sin 90 = a / sin 23
16 = a / sin 23
a = 6.25
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what is the formula for tan theta
Answer:
sin(theta) = a / c csc(theta) = 1 / sin(theta) = c / a
cos(theta) = b / c sec(theta) = 1 / cos(theta) = c / b
tan(theta) = sin(theta) / cos(theta) = a / b cot(theta) = 1/ tan(theta) = b / a
Step-by-step explanation:
Answer:
sin(theta) = a / c csc(theta) = 1 / sin(theta) = c / a
cos(theta) = b / c sec(theta) = 1 / cos(theta) = c / b
tan(theta) = sin(theta) / cos(theta) = a / b cot(theta) = 1/ tan(theta) = b / a
Task: E = mc2
E = mc2 is one of the most recognizable equations in the world. Published by Albert Einstein in 1905, the
equation describes a fundamental relationship between energy, E, and matter (or mass), m. But what exactly
is the relationship? What does it mean? In this task, you will parse, or analyze the parts.of the equation in
order to understand it better. Let's start with what the variables represent: E stands for energy, m stands for
mass, and c stands for the speed of light. Use these definitions to complete the exercises below.
4. [10 points] Rewrite the equation to solve for the speed of light, c. Use rational exponents instead of
roots (radicals).
Answer:
[tex]$c=\left(\frac{E}{m} \right)^{\frac{1}{2} }$[/tex]
Step-by-step explanation:
[tex]E = mc^2[/tex]
[tex]$c^2=\frac{E}{m} $[/tex]
[tex]$c=\sqrt{\frac{E}{m} } $[/tex]
or
[tex]$c=\left(\frac{E}{m} \right)^{\frac{1}{2} }$[/tex]
The equation will be , C= (E/3)^1/2
What is Algebra?Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables. In our real-life problems, we often see certain values that keep on changing. But there is a constant need to represent these changing values. Here in algebra, these values are often represented with symbols such as x, y, z, p, or q, and these symbols are called variables. Further, these symbols are manipulated through various arithmetic operations of addition, subtraction, multiplication, and division.
Algebraic ExpressionsAn algebraic expression in algebra is formed using integer constants, variables, and basic arithmetic operations of addition(+), subtraction(-), multiplication(×), and division(/). An example of an algebraic expression is 5x + 6. Here 5 and 6 are fixed numbers and x is a variable.
Given:
E = mc^2
c² = E/m
c= √ (E/m)
or,
C= (E/m) ^1/2
Learn more about algebra here:
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In a car race, for every mile covered by car A, car B covered 4 miles. The ratio of the number of miles covered by car A to the number of miles covered by car B is
1 to 1
4 to 4
4 to 1
1 to 4
Answer:
1 to 4 (1:4)
Step-by-step explanation:
every 1 mile to every 4 miles
car A 1 mile to car B 4 miles
Answer:
whats the question?
Step-by-step explanation:
The fair comes to town, and Alex and his father go to the archery range. His father agreed to let him have ten arrows. For each arrow that hit the target, Alex got two more arrows. At the end, Alex had used a total of 40 arrows. How many arrows hit a target in all?
Answer:
15...?
Step-by-step explanation: Sorry if I got this incorrect...
Alex 15 arrows hit a target in all.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
Alex's first 10 all hit the target and earned him 20 more.
Now he has 20 and has used 10.
His next 5 hit the target and earned him 10 more.
He now has 25 (20–5+10) and has used 15.
All of the remaining 25 miss the target.
Alex had used a total of 40 arrows (25+15) and has hit the target 15 times.
Learn more about Arithmetic operations here:
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Please help! Will mark brainliest!
Sorry, misunderstood question, answer beneath me much better.
Answer:
a = 1/2b
b = 2a
Step-by-step explanation:
-3a + 6b = a + 4b
Add -a and -6b on both sides.
-3a - a = 4b - 6b
-4a = -2b
Divide both sides by -4.
a = -2/-4b
a = 1/2b
To find b, multiply both sides by 2.
2a = b
y = x^2 + 2x - 8 Solve with zeros
Answer:
x=-4 x=2
Step-by-step explanation:
y = x^2 + 2x - 8
Set equal to zero
0 = x^2 + 2x - 8
Factor
What two numbers multiply to -8 and add to 2
4 * -2 = -8
4+-2 = 2
0=(x+4) ( x-2)
Using the zero product property
x+4 =0 x-2 =0
x=-4 x=2
6.) Polygons that do
not have all sides
equal and/or all
angles equal
Answer:
....................trapezium
Answer:
trapezoid or trapezium
Step-by-step explanation:
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
answer is 45 if helped please give 5 star
Quiana has 5 times more text messages from Yolanda than from Pierre. Quiana has 45 text messages from Yolanda. Which equation can be used to find how many text messages Quiana has from Pierre, p? A. 5 + p = 45 B. 45p = 5 C. 5p = 45 D. 45 + p = 5
Answer:
Option C.
Step-by-step explanation:
Quiana has 45 text messages from Yolanda.
Text messages from Pierre = p
It is given that Quiana has 5 times more text messages from Yolanda than from Pierre.
[tex]\text{Text messages from Yolanda}=5\times \text{Text messages from Pierre}[/tex]
[tex]45=5\times p[/tex]
It can be written as
[tex]5p=45[/tex]
Therefore, the correct option is C.
Answer:
Option C.
Step-by-step explanation:
Quiana has 45 text messages from Yolanda.
Text messages from Pierre = p
It is given that Quiana has 5 times more text messages from Yolanda than from Pierre.
It can be written as
Therefore, the correct option is C.