Answers
Step-by-step explanation:
[tex]\overline{CA} + \overline{AT} = \overline{CT}[/tex]
Since A is the midpoint, then [tex]\overline{CA} = \overline{AT}.[/tex] Therefore, we can write
[tex]2x + 8 = 4x + 2 \Rightarrow x = 3[/tex]
Using this value for x, we can write
[tex]\overline{CT} = \overline{CA} + \overline{AT}[/tex]
[tex]\:\:\:\:\:\:\:\:= (2x + 8) + (4x + 2)[/tex]
[tex]\:\:\:\:\:\:\:\:= 2(3) + 8 + 4(3) + 2 = 28[/tex]
Related Questions
if M∠ ABD =64 and M∠CBD=30 then M∠ABC=
Need help
Answers
Answer:
[tex]\displaystyle m\angle ABC = 34^\circ[/tex]
Step-by-step explanation:
∠ABD is the sum of the angles ∠ABC and ∠CBD. In other words:
[tex]\displaystyle m\angle ABD = m\angle ABC + m\angle CBD[/tex]
Substitute in known values:
[tex]\displaystyle \left(64^\circ\right) = m\angle ABC + \left(30^\circ\right)[/tex]
And subtract. Hence:
[tex]\displaystyle m\angle ABC = 34^\circ[/tex]
In conclusion, ∠ABC measures 34°.
what is the square root of 13y in exponential form
Answers
Answer: 13½
Step-by-step explanation:
Simplify the expression below.
(x^6)(x²)
Answers
[tex]( {x}^{6} )( {x}^{2} ) = x^{8} [/tex]
I hope I helped you^_^
The residents of a downtown neighborhood
designed a triangular-shaped park as part of a
city beautification program. The park is bound by
streets on all sides. The second angle of the
triangle is 7º more than the first. The third angle
is 7º less than ten times the first. Find the
measures of the angles.
The measure of the first angle is x = 17º.
Answers
9514 1404 393
Answer:
15°22°143°Step-by-step explanation:
Let x represent the measure of the first angle. Then the second is x+7, and the third is 10x-7.
The sum of the three angles of the triangle is 180°, so we have ...
x +(x +7) +(10x -7) = 180
12x = 180 . . . . . . . . . . . . . . . collect terms
x = 15 . . . . . . . . . divide by 12 (first angle)
x +7 = 22 . . . . . .second angle
10x -7 = 150 -7 = 143 . . . . . third angle
The three angles are 15°, 22°, and 143°.
Find x. Round your answer to the nearest tenth of a degree.
Answers
Answer:
41.4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos x = 9/12
Taking the inverse cos of each side
cos ^-1 ( cos x) = cos ^-1 (9/12)
x = 41.41
To the nearest tenth
x = 41.4
An artist designs a rectangular quilt piece with different types of ribbon that go from the corner to the center
of the quilt. The dimensions of the rectangle are AB = 10 inches and AC = 14 inches.
Answers
Answer: BX = 7
======================================
Explanation:
For any rectangle, the diagonals are the same length and they cut each other in half (aka bisect each other).
This means diagonal BD = AC = 14 and BX = BD/2 = 14/2 = 7. The value of AB is never used.
Answer:
7
Step-by-step explanation:
WILL GIVE BRAINLIEST !!
If a tRNA molecule has an anticodon which reads GCUAAA, what was the codon of the mRNA molecule?
O GCUTTT
O CGAUUU
O AGUCCC
O CGATTT
Answers
Answer:
CGAUUU
Step-by-step explanation:
GCU is alanine which translate to CGA
AAA is lysine, and translate to UUU
(which is actually two anticodons, not one)
Point C is in the interior of
Answers
Answer:
Point C is in the interior of angle ABD.
Triangle ABC has vertices A(0,7),B(5,-5),and C(10,7). Find the area of triangle ABC?.
Answers
Answer:
60 units²
Step-by-step explanation:
A = ½bh
Let the horizontal line AC be the base which has a length of 10 along the line y = 7
The vertical distance between this line and point B is 7 - (-5) = 12
A = ½(10)(12)
The small base of an isosceles trapezoid is x centimeters long. The large base of the trapezoid is 3
centimeters shorter than twice the length of the small base, and each of the two remaining sides of the
trapezoid is 2 centimeters longer than the small base. If the perimeter of the trapezoid is 26 centimeters.
which of the following must be true?
4x – 3 = 26
4x - 1 = 26
5x – 1 = 26
5x + 1 = 26
Answers
The equation of the perimeter will be 5x + 1 = 26. Then the correct option is D.
What is a trapezoid?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezoid, one pair of opposite sides are parallel.
Let ABCD is the isosceles trapezoid.
The small base (BC) of an isosceles trapezoid is x centimeters long.
The large base (AD) of the trapezoid is 3 centimeters shorter than twice the length of the small base will be
AD = 2x - 3
And each of the two remaining sides of the trapezoid is 2 centimeters longer than the small base will be
AB = CD = x + 2
Then the perimeter is the sum of all sides.
If the perimeter of the trapezoid is 26 centimeters.
Then the equation of the perimeter will be
AB + BC + CD + DA = 26
x + 2 + x + x + 2 + 2x - 3 = 26
5x + 1 = 26
Then the correct option is D.
More about the trapezoid link is given below.
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Given a function described as the equation y = 4x - 4, what is y when x is 1, 2, and 3?
Answers
Answer:
f(1) = 0
f(2) = 4
f(3) = 8
Step-by-step explanation:
Substitute the values for the variable x.
[tex]f(1)=4(1)-4\\f(1)=4-4\\f(1)=0\\\\f(2)=4(2)-4\\f(2)=8-4\\f(2)=4\\\\f(3)=4(3)-4\\f(3)=12-4\\f(3)=8[/tex]
When x= 1
y = 4(1) - 4
y = 0
when x = 2
y = 4(2) - 4
y = 4
when x = 3
y = 4(3) - 4
y = 8
the length of each side of a square is multiplied by 4. how many times longer is the new perimeter than the old perimeter??
Answers
Answer:
The answer will befour times
PLEASE HELP WITH THE SCREENSHOT BELOW
Answers
Answer:
32.8
Step-by-step explanation:
well you need to use soh cah toa. so here we would use sin since we get an opposite side and a hypotenuse. so 45/83 would give us the sin of the sides but since we need to find the angle we take the sin inverse which gives us 32.83139231 which rounds to 32.8
A webmaster makes $24 an hour for the first 38 hours she works during a
week and $31 an hour for each hour worked over 38 hours. Which piecewise
equation models her total weekly pay y in dollars as it relates to the number
of hours x that she has worked during the week?
24x
O A. e=1
OSXS38
x > 38
(31x+912
0
[24x
O B. y = {31(x – 38) +912 x > 38
S24x
(31x
C. y =
OSXS 38
X> 38
(24x
OSX 38
D. y = {31(x-38)
x > 38
Answers
A piecewise function is consists of different relationships between the variables over different intervals
The correct piecewise equation that models her total weekly pay is option B.
[tex]\mathbf{B.} \ y = \begin{cases} 24 \cdot x& \ 0 \leq x \leq 38 \\ 31\cdot (x - 38) + 912 & \ x > 38 \end{cases}[/tex]
The given parameters are;
The amount made by the webmaster for the first 38 hours she works = $24
The amount she makes for each hour worked after the first 38 hours = $31 an hour
Required:
To find the piecewise equation that models the total weekly pay, y, in dollars in relation to the number of hours x that she has worked during the week
Solution:
If she works for x ≤ 38 hours
The amount she makes working x less than or equal to 38 hours, y = $24/hour × x hours = $24 × x hours
The total amount the webmaster wakes by working all through the normal 38 hours is $24/hour × 38 hours = $912
If she works over 38 hours, (x > 38) we have;
The number of hours she works over 38 hours = x - 38
The amount she makes each hour after working 38 hours, y = $31/hour × (x - 38) hours
The total amount she makes y working for more than 38 hours is given as follows;
y = 31·(x - 38) + 912
The piecewise equation that models her weekly pay is therefore, presented as follow;
[tex]y = \begin{cases} 24 \cdot x& \ 0 \leq x \leq 38 \\ 31\cdot (x - 38) + 912 & \ x > 38 \end{cases}[/tex]
The above piecewise function is the same as option B
Learn more about piecewise function here:
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ln the given ration 3:4 the consequent is 7,4,3
Answers
[tex]\\ \rm\longmapsto 3:4[/tex]
Convert to fraction[tex]\\ \rm\longmapsto \dfrac{3}{4}[/tex]
4 is the consequentNote.
The first term of the ratio is called consequent.
Answer:
Loading...
Step-by-step explanation:
Help Please!
Find the value of x for which ABCD must be a parallelogram.
Answers
Answer:
2
Step-by-step explanation:
We know that the opposite sides of a parallelogram are equal so:
25x+1=7x+37
18x=36
x=2
pls answer pls ok ok ok ok o ok
Answers
Answer: a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
[tex](\frac{a}{b^{3} } )^{4}[/tex]
[tex]a^{4}[/tex]/([tex]b^{3}[/tex][tex])^{4}[/tex]
[tex]a^{4}[/tex]/[tex]b^{12}[/tex]
What is the relationship between the 6s in 675,002 and 385,621
Answers
Answer:
The value of 6 in 675,002 is 1,000 times greater than the value of 6 in 385,621.
cho khối trụ r = 4 và h = 3, thể tích của khối trụ bằng bao nhiêu?
Answers
Answer:
12
Step-by-step explanation:
hi vọng điêu nay co ich
5(x-7y)+8(3x+2y)= simplify
Answers
Answer:
It is 29x - 19y
Step-by-step explanation:
[tex]5(x - 7y) + 8(3x + 2y)[/tex]
open brackets:
[tex] = 5x - 35y + 24x + 16y[/tex]
group like terms together:
[tex] = (5x + 24x) + (16y - 35y)[/tex]
factorise out x and y :
[tex] = x(5 + 24) + y(16 - 35) \\ = 29x - 19y[/tex]
I get paid $28 per hour i worked on Friday, Saturday and Sunday I got $168 on Friday, $112 on Saturday and $196 on Sunday. What is the total number of hour i worked on these 3 days? answer quick pls
Answers
Answer:
17 hours
Step-by-step explanation:
Add up the total amount earned
168+112+196 = 476
Divide by the amount earned per hour
476/28 = 17
17 hours worked over the 3 days
HELP PLEASE WILL MARK BRAINLIEST
Answers
Answer:
D
Step-by-step explanation:
Point B is (-2,3) then it is shifted (x, y+4)
so, x remains the same by y goes up 4 units
-2,7
You just got your quiz back from your teacher and it says that you received a 27/45; therefore
your grade on the quiz is a? (percentage)
Answers
Advance Order of Operation
11) [ { 66+11 2-6 ] x 7
121
Answer is 210
Add, multiply I need help ASAP please due tomorrow
Answers
Answer:
pls ur question is not clear is there a space between 11 and 2
168/-294 in rational number
Answers
Answer:
It is -4/7
Step-by-step explanation:
[tex] \frac{168}{ - 294} \\ \\ = - \frac{4}{7} [/tex]
Answer:
168/-294 × 5/5 = 840/1470
= - 840/ 1470
= 1470
Angles R and S are complementary. If angle R is = 4x - 20 and angle S = 6x - 7, then angle R measures ___ degrees.
Answers
Answer:
26.8°
Step-by-step explanation:
4x - 20 + 6x - 7 = 90
10x -27 =90
10x = 90+27
10x= 117
x = 11.7
so, the angle R = 4x-20 =4(11.7)-20
= 46.8-20 = 26.8°
Based on the table which college expenses would you consider fixed and which expenses would you consider variable? Why?
Answers
9514 1404 393
Answer:
fixed: tuition, room, mealsvariable: books, personal, transportationStep-by-step explanation:
"Fixed" expenses are ones that don't change. They stay the same from year to year. Those would include ...
Fixed
tuition and fees: $4640room and board: $10,304campus meal plan: $3998"Variable" expenses are ones that change depending on circumstances. Those would include ...
Variable
books and supplies: $1500 to 2500personal expenses: $3000 to 4600transportation: $0 to 800solve the equation 3 cos 2 theta + sin theta = 1 for values of theta from 0 degrees to 180 degrees
Answers
Step-by-step explanation:
Recall that
[tex]\cos{2\theta} = 1 -2\sin^2\theta[/tex]
so we can write our original equation as
[tex]3 - 6\sin^2{\theta} + \sin{\theta} = 1[/tex] or
[tex]6\sin^2{\theta} - \sin{\theta} - 2 =0[/tex]
Let [tex]x = \sin{\theta}[/tex] so our equation becomes
[tex]6x^2 - x - 2= 0[/tex]
which gives us two roots: [tex]x = -\frac{1}{2}[/tex] and [tex]x = \frac{2}{3}[/tex].
This is equivalent to [tex]\theta = 150°[/tex] and [tex]\theta = 41.8°[/tex]
MaryAnne has 90 quilt squares. She plans to use 32 of them to make a quilt. What percent of her quilt square stock is she using? List your answer as a percent rounded to the nearest tenth.
Answers
Percentage = ( number used / total number) x 100
32/90 = 0.3555
0.3555 x 100 = 35.56%
Rounded to nearest tenth = 35.6%
Mary Anne is using about 35.6% of her quilt squares stock.
What is percent?A percent is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.
Percent FormulaPercentage = (Value/Total value) × 100.
According to the given question.
Total number of quilt squares Mary Anne have = 90
Number of quilt squares Mary Anne is using = 32
Therefore,
The percent of her quilt square she is using
= [tex]\frac{32}{90} \times 100[/tex]
[tex]= 0.3555\times 100[/tex]
[tex]= 35.6[/tex] %
Hence, Mary Anne is using about 35.6% of her quilt squares stock.
Find put more information about percent here:
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Songs on a band's set list are an example of which type of data?
Answer
O Discrete
O Continuous
O Neither
Answers
Here we want to see which type of set is a band's setlist.
We will see that it is a discrete set.
We can define two types of sets
Continue sets are those, like the name implies, continuous (or dense). Examples can be the set of real numbers.
Discrete sets are those that have "gaps" between consecutive elements. For example, the integer set is a discrete set. Particularly, discrete sets can be quantized (counted).
Now, we have a list of songs, that can be written as:
L = {song 1, song 2, song 3, ...}
Here we can see that we have separated elements. Thus, this is a discrete set. This happens because we clearly can separate the element "song 1" from "song 2" (there may be a lapse of time between them, defining the end of the first one), so we have the "gaps" mentioned above.
If you want to learn more, you can read:
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