Help, I still don't understand this question!
What is the measure of ∠BAC, ∠ABC, and ∠ACB?
Answers
The answer is:
" m∠BAC = 45° ; m∠ABC, = 64° ; and: m∠ACB = 70° ."
__________
Step-by-step explanation:
To find the measure of ∠BCA {"m∠BCA"} :
<BCA is supplementary to " 110 " ; that is, both, or all, of all the measurements that form a "line or line segment"; or any portions thereof,
that can be written in: "slope-intercept format"
that is, on Cartesian plane: " y = mx + b " ;
in which: "y" is isolated on the "left-hand side" of the equation; as a single, isolated variable;
and in which: "m" is the "slope" (if applicable); and the coefficient to the "x" value'
and in which "b" is the "y-intercept"; or more precisely"
the value of the "y-coordinate"—in: "(x, y)" format —at which:
" x = 0" ; that is, in the format: " (0, b)."
_________________
So, to find
m∠BCA : Subtract our given value, "110" ; from "180" ; as follows:
_________________
" (180 − 110) = 70" ;
__________________
Now: Note a triangle, by definition, has 3 (three) sides and 3 (three) angles—and all three (3) angles of a triangle add up to 180°.
So: We just solved for m∠ACB ; which is: 70° .
Now shall solve for the value of "x" ; & then find the value of all 3 (three) sides of this triangle
Since all angles within a triangle add up to 180: Let's add them up:
" 70 + 3x + 20 + 3x = 180 " ;
Combine the "like terms" on the "left-hand side" of the equation:
" +3x + 3x = 6x " ; "+ 70 + 20 = 90 ";
And rewrite the equation:
" 6x + 90 = 180 " ;
Now, subtract "90" from Each Side of the equation:
" 6x + 90 − 90 = 180 − 90 " ;
to get: " 6x = 90 " ;
Now, divide Each side of the equation by "6" ;
to isolate "x" on one side of the equation ;
and to solve for "x" :
" 6x / 6 = 90 / 6 ;
to get: " x = 15 " ;
________________
Now, we are asked to find:
1) " m∠BAC = 3x " ; Plug in "15" for "x" ; and solve:
"3x = 3(15) = 45 " ;
2) " m∠ABC = "(3x + 20)" ; Plug in "15" for "x"; and solve:
"3(15) + 20 = 45 + 20 = 65 " ;
3) " m∠ACB = 70 " ; (as per our calculated value);
To check our work—do these 3 (three) numbers add up to 180?
"45 + 65 + 70 =? 180 ? " ;
" 110 + 70 = " 180 "? Yes!
__________
So: The answer is as follows:
" m∠BAC = 45° ; m∠ABC, = 64° ; and: m∠ACB = 70° ."
__________
Hope this is helpful to you! Best wishes!
Related Questions
Which line is being represented by the graph?
A
y = 3/4 X -3
B
y = 3/4x + 4
C
y = -3/4x + 4
D
y = -3/4 x - 3
Answers
Answer:
The answer is C, y= -3/4 + 4
How many units is -14 away from 0
Answers
Answer:
14
Step-by-step explanation:
|-14|=14
What was his mistake?
Answers
Circle the first line.
His mistake was: He substituted y from 2nd equation in 1st equation incorrectly. There is a minus sign before y and it wasn't taken into the account.
The correct steps are:
2x - y = 18
2x - (4x + 2) = 18
2x - 4x - 2 = 18
-2x - 2 = 18
-2x = 20
x = -10
y = 4x + 2
y = 4(-10) + 2
y = -40 + 2
y = -38
If given the equation y = 3(x + 5)2 - 4, what is the vertex of the parabola
Answers
Answer:
The vertex of the parabola is (5, -4).
Hope this helps!
In the whole number 70,819, the place value of the digit 1 is
Answers
Answer:
ten
hope this helps....
The function f(x) is shown on the graph.
On a coordinate plane, a curved line with 3 arcs, labeled f of x, crosses the x-axis at (negative 2, 0), (negative 1, 0), (1, 0), and (3, 0), and the y-axis at (0, negative 6).
What is f(0)?
0 only
–6 only
–2, –1, 1, and 3 only
–6, –2, –1, 1, and 3 only
Answers
By using the description of the graph, we conclude that f(0) = -6 only.
The correct option is the second one.
What is f(0)?
Here we want to know the value of the function when evaluated in 0. Remember that the points on the graph of the function are of the form:
(x, f(x)).
Now, in the description of the graph you say:
"... and the y-axis at (0, negative 6)."
So we know that the graph passes through (0, -6), which means that when evaluated in 0, the function is equal to -6.
So the correct option is the second one: –6 only
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Answer:
Step-by-step explanation:
If tan theta = -3/4 and theta is in Quadrant IV, cos2theta =, and tan2theta =
Answers
Step-by-step explanation:
please mark me as brainlest
You move left 5 units. You end at (-1, 5). Where did you start?
Answers
Answer:
(4,5)
Step-by-step explanation:
Hello!
If you move 5 units to the left, you change the x-value in (x, y) by -5.
Let the original x-value be x:
x - 5 = -1x = 4The original x-value is 4. Since you didn't change the y-value (up/down), you can keep the same y-value for the coordinate.
The original point was at (4,5)
Answer:
You started at (4, 5)
Step-by-step explanation:
The first number of coordinate pair is x. you started at the right and THEN moved the the left, as stated in the question. So -1 + 5 is 4.
So you started at (4, 5)
how do you distribute this
(x+5)(x-5)
Answers
see the attachment photo.
Answer:
2x-5
Step-by-step explanation:
Thats the answer
Find the midpoint of the line segment. Please hurry 15 points!
Answers
Answer: Hope this helps you
0,0
is this true or false? please help
Answers
Answer:
true jufhjjzjsjjajajw
Find m/1.
130°
1
90°
t
Answers
The measure of the angle m1 is 110 degrees
How to determine the measure of angle m1?The measures of the arcs are given as:
Arc 1 = 130
Arc 2 = 90
The measure of the angle is calculated using:
Angle = 0.5 * (Arc 1 + Arc 2)
So, we have:
Angle = 0.5 * (130 + 90)
Evaluate
Angle = 110
Hence, the measure of angle m1 is 110 degrees
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Rewrite using exponential notation \root(6)((4\pi )^(3))
Answers
[tex]~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ \sqrt[6]{(4\pi )^3}\implies (4\pi )^{\frac{3}{6}}\implies (4\pi )^{\frac{1}{2}}[/tex]
The point (-2,-3) is rotated 180 degrees counterclockwise about the origin. What is the y-coordinate of the resulting image
Answers
The direction of rotation is not relevant as going clockwise results in the same location.
A cashier earns $7 an hour. if x is the number of hours worked, which function represents the cashier’s earnings? y = 7x y = x superscript 7 y = startfraction 7 over x endfraction y = 7
Answers
Answer:
y=7x
Step-by-step explanation:
The job pays $7 per 1 hour so to find out how much money you get for x hours, you would multiply the hourly rate ($7) by the amount of hours (x)
Answer:
y=7x
Step-by-step explanation:
edge review 2022
I need the answer quickly please
Answers
Answer:
c²=√181=13.45, or 13.5
Step-by-step explanation:
The pythagorean theorem is a²+b²=c²
Given this, we will plug in our numbers like this: 9²+10²=c²
9²+10²=181, but we have to find the square root of that.
c²=√181=13.45, or 13.5
I hope this helps!! :)
Step-by-step explanation:
We have a right triangle which allows us to use the Pythagorean Theorem
can someone please answer this fast! thanks
Answers
Answer:
The choice C.
[tex] {x}^{ \frac{5}{2} } [/tex]
Step-by-step explanation:
[tex] \frac{ {x}^{3} }{ \sqrt{x} } = \frac{ {x}^{3} }{ {x}^{ \frac{1}{2} } } = {x}^{3} \times {x}^{ - \frac{1}{2} } \\ = {x}^{3 \times - \frac{1}{2} } = {x}^{ \frac{5}{2} } [/tex]
Or ;
[tex] \frac{ {x}^{3} }{ \sqrt{x} } = {x}^{2} \sqrt{x} = {x}^{2} \times {x}^{ \frac{1}{2} } \\ = {x}^{2 + \frac{1}{2} } = {x}^{ \frac{5}{2} } [/tex]
Five dogs were running in a race. Bandit completed the race in 10 seconds after Sergeant and 30 seconds before Sally. Smokey completed the race 10 seconds before Sally and 25 seconds after Tobie. Which list correctly shows the dogs from first to last place?
A B C D
Answers
Answer:
Sergeant, Tobie, Bandit, Smokey, Sally
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Help me with this please
Answers
Answer:
See below
Step-by-step explanation:
1 IS a constant
9x IS a factor
9x is NOT a coefficient ( '9' is a coefficient)
yes it is a sum of three terms
9x and 1 are NOT 'like' terms
A membership at a yoga studio costs $35 per month.
Write an equation for the cost of the membership,that you pay if you keep your membership for months.
Answers
Answer:
35×(m)=c
Step-by-step explanation:
m=months
c=cost
Solve the inequality.
−13x+10>17
Which inequality represents the solutions to this inequality?
a) x<7x<7
b) x>−21x>−21
c) x<−21x<−21
d) x>7x>7
Answers
The solution to inequality is less than the negative of 21. Then the correct option is C.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
−(1/3)x + 10 > 17
Then the solution to the inequality will be
−(1/3)x + 10 > 17
−(1/3)x > 17− 10
−(1/3)x > 7
When the sign is changed then the equality sign also changed.
(1/3)x < −7
x < − 21
The value of x is less than the negative of 21.
Thus, the correct option is C.
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Simplify the expression (10 + 3i)(10 - 3i).
Answers
Answer:
109
Step-by-step explanation:
[tex]\textbf{Assuming}~ i ~\textbf{as the imaginary unit, where}~ i = \sqrt{-1}~ \textbf{and}~ i^2 = -1\\\\\textbf{Given that,}\\\\~~~(10+3i)(10-3i)\\\\=10^2 -(3i)^2~~~~~~~~~~;\textbf{Difference of two squares} ~a^2 -b^2 = (a+b)(a-b)\\\\=100-9i^2\\\\=100-9(-1)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;{i^2 = -1}\\\\=100+9\\\\=109[/tex]
[tex](a-b)(a+b)=a^2-b^2[/tex]
Therefore
[tex](10 + 3i)(10 - 3i)=100-9i^2[/tex]
Need help with this
Answers
n = 66
Step-by-step explanation:
you can make a proportion 3/99 = 2/x
[tex] \frac{3}{99} = \frac{2}{x} [/tex]
99 * 2= 198
3 * x = 3x
so the equation would be 198 = 3x
than do 198 ÷ 3 on ur calculator
so x (or n in this context) would equal 66
if f(x) = 4x²-2 then f(-3) is
Answers
Step-by-step explanation:
We are going to plug -3 into the equation of f(x) = 4x²-2.
f(-3) = 4(-3)²-2
f(-3)=36-2
f(-3)=34
The answer to this question is 34.
I hope this helps!! :)
help please dont know how to do this
Answers
WILL MARK BRAINLIEST!!
(07.05 MC)
Which of the following functions best represents the graph?
see attached
Answers
Answer:
the first option
Step-by-step explanation:
i know there's a rule to all of this but it's been a while since i've done this kind of math.
if you plug in the zeros to the equation, they solve
(-2, 0) --> (-2-2)(-2+1)(-2+2) = 0
(-1, 0) --> (-1-2)(-1+1)(-1+2) = 0
(2, 0) --> (2-2)(2+1)(2+2) = 0
Germaine measured the height of a plant, H, in centimeters (cm) as a function of days, d, since he planted it in
his yard. The following table shows his data.
d 0 2 4 6 8 10 12
H(d) 8.2 9.6 11.0 12.4 13.8 15.2 16.6
What is the rate of change of the function?
O 1.7 cm per day
O 8.4 cm per day
O 1.4 cm per day
O 0.7 cm per day
Answers
The rate of change of the function the height of a plant is gotten as; D: 0.7
How to find the rate of change?To find the rate of change, we will use the formula;
Rate of change = (y2 - y1)/(x2 - x1)
From the given table, we can solve for the rate of change by picking two consecutive points to get;
Rate of change = (9.6 - 8.2)/(2 - 0)
Rate of change = 1.4/2
Rate of change = 0.7
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On a coordinate plane, a circle has a center at (negative 2, 0). Point (negative 2, 4) lies on the circle.
Distance formula: StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot
Does the point (1, StartRoot 7 EndRoot) lie on the circle shown?
Explain.
Yes, the distance from (–2, 4) to (1, ) is 4 units.
Yes, the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is 4 units.
No, the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is not 4 units.
No, the distance from (–2, 4) to (1, StartRoot 7 EndRoot) is not 4 units.
Answers
The correct answer to where the point(1, StartRoot 7 EndRoot) lies on the circle is A. Yes, the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is 4 units
What is a Coordinate Plane?This refers to the tool that is used to graph points on a two-dimensional plane that intersects two number lines.
Hence, given the information in the given diagram, there is a coordinate plane that shows a circle at the center that has certain values on the y and x-axis.
We can state that the point (1, StartRoot 7 EndRoot) lies on the circle shown because the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is 4 units.
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Answer: A on edge
Step-by-step explanation:
because i said so
Sherri solved the equatjon 1/5(x-20)=45. For each step, write the name of the property sherri used
Answers
Answer: The awnser is linear.
I hope this helped.
Step-by-step explanation:
Can someone please help me with this
Answers
Answer:
6.7 km/liter
Step-by-step explanation:
c = 187 km / 28 l = 6.67 ~ 6.7 km / l to two sig figures