If C is the midpoint of segment AT and AC=4x - 7 , how long is AT when CT=2x+5?
Answer: 34
Step-by-step explanation:
since the line is cut in half the sides equal
therefore
4x-7 = 2x+5
solve for x
4x = 2x + 12
2x = 12
x = 6
plug into either equation as they are both the same
4(6) - 7 = 17
if one half is 17 then the other half is 17
add the halves for the full line segment AT
AT = 17 + 17 = 34
What is the equation of this trend line?
Enter your answers by filling in the boxes.
please help me get into my dream school!
Answer:
Step-by-step explanation:
The line rises to the left so the slope is negative.
The slope m = -24/12 = -2.
Using the point-slope formula and taking the point (12, 0) on the line:
y - y1 = m(x - x1) where m = -1, x1 = 12 and y = 0:
y - 0 = -2(x - 12)
y = -2x + 24 <------- this is the required equation.
Answer:
Blank 1 : -2
Blank 2 : 24
Step-by-step explanation:
The first blank denotes the rate of change, or the slope of the graph.
Slope = y₂ - y₁ / x₂ - x₁
m = 16 - 24 / 4 - 0m = -8/4m = -2Blank 1 : -2The second blank denotes the value of variable K when the value of variable J is 0, or rather the y-intercept of the graph.
The y-intercept is clearly (0, 24)
Blank 2 : 24what is the angle of BTC, Angle TBC,Angle TCB
By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.
How to determine the angles of a triangle inscribed in a circle
According to the figure, the triangle BTC is inscribed in the circle by two points (B, C). In this question we must make use of concepts of diameter and triangles to determine all missing angles.
Since AT and BT represent the radii of the circle, then the triangle ABT is an isosceles triangle. By geometry we know that the sum of internal angles of a triangle equals 180°. Hence, the measure of the angles A and B is 64°.
The angles ATB and BTC are supplmentary and therefore the measure of the latter is 128°. The triangle BTC is also an isosceles triangle and the measure of angles TBC and TCB is 26°.
By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.
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Can someone help me with this question please?
Answer:
arc RS = 60°
Step-by-step explanation:
the secant- secant angle P is half the difference of ots intercepted arcs, that is
40° = [tex]\frac{1}{2}[/tex] (QT - RS ) ← multiply both sides by 2 to clear the fraction
80° = QT - RS
80° = 140° - RS ( subtract 140° from both sides )
- 60° = - RS ( multiply both sides by - 1 )
60° = RS
A Domino's large pizza is usually $10. With a coupon, you can get a large Domino's pizza for only $6. What is the percent decrease in the price of a large pizza at Domino's with the coupon?
Answer:
The percent decrease or discount she received was 40%
Step-by-step explanation:
1.
y = 4x - 7
4x + 2y = -2
• show your work
• correct X and y
2.
4x^2 + 3 = 39
• show your work
• correct answers
Answer:
1)
x = 1
y = -3
2)
x = 3 or x = -3
Step-by-step explanation:
1)
System of equations, we plug in y to the second equation
[tex]4x + 2(4x-7) = -2\\4x+8x-14 = -2\\12x = 12\\x=1[/tex]
We then plug x back into the first equation to find y
[tex]y = 4(1) -7\\y = -3[/tex]
2)
[tex]4x^2 +3=39\\4x^2=36\\x^2=9\\x=3, -3[/tex]
Diego has budgeted $80 from his summer job earnings to buy gear for baseball. He needs a new mitt and new baseballs. The
mitt he wants cost $38. Each pack of baseballs cost $3.50.
A. Write an inequality that represents x, the number of packs of baseballs, that Diego can buy if there is no tax.
Answer:
X=^3.50
X=3/50
X=350<3.50>
Y= 2C/U-
es igual a Yx^2
Step-by-step explanation:
coronita plisss
Kayli made 3 times as many Peanut Butter
Cookies as Sugar Cookies. This can be modeled
using the equation below.
Answer:
p/3
Step-by-step explanation:
You can divide both sides by three.
P=3S
----/3
P/3=S
Thus, p/3 is the answer
Which of the following is biased?
a) the probability pulling a red marble from a bag with 10 red marbles 18 blue marbles and 6 green marbles
b) the probably of rolling a five on a
single die
c) the probability of drawing and ace from a standard deck of cards
d) the probability of getting heads from flipping a coin
Answer:
D
Step-by-step explanation:
Got it right on edge 2022
How many centimeters is 0.2 meters
Answer:
there are 20 centimeters in 0.2 meaters
Answer:
1 meter = 100 centimetres
0.2(meters) x 100(centimetres that make up 1 meter)
= 20 centimetres.
help me bro fr i need dis done
Answer: 6^5 = 6^3 * 6^2
When your multiplying exponents, you just add the exponents. So, 3 should be the exponent in the box.
Isaiah earned a score of 61 on Exam A that had a mean of 78 and a standard deviation
of 10. He is about to take Exam B that has a mean of 200 and a standard deviation of
50. How well must Isaiah score on Exam B in order to do equivalently well as he did
on Exam A? Assume that scores on each exam are normally distributed.
Answer:
isaiah must get a score of 115
16. Twelve inches is what percent of a yard?
Answer:
There are 3 feet in one yard, so each foot is 1/3 of a yard/
To find the percentage of each foot, divide 1 by 3
One foot is 33 1/3 percent of a yard.
Twelve inches is 33.33 percent of a yard.
What is Percentage?Percentage is defined as a number that can be expressed as a fraction of 100.
The statement is
Twelve inches is what percent of a yard
12 inches in terms of % yard
1 inch = 0.0277778 yard
12 inches = 0.333336 yard
In percentage = 33.33 % yard
To know more about Percentage
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Find the missing angle.
Answer:
36 degrees
Step-by-step explanation:
well it tells you both of the other angles, and a triangles angles always equal to 180 degrees, so its a simple as 111+33=144 and 180-144=36, so 36 degrees, is your missing angle.
Find the sum of -50 + (-44) + (-38) + ... + 2038 + 2044.
Answer:
3950
Step-by-step explanation:
-50 + (-44) + (-38) + 2038 + 2044
-94 + (-38) + 2038 + 2044
-132 + 2038 + 2044
1906 + 2044
3950
Hope this helps :)
Solution:
348950
Explanation:
first lets confirm, which series this is from,( first term + third term )/2 = second term
(-50 + (-38) )/2 = -44-44 = -44Thus it is arithmetic series.
[tex]\sf S_n = \dfrac{n}{2} (2a+(n-1)d)[/tex]
Solving step-wise:
a₁ = -50aₙ = 2044n = ? = 350d = + 6=================
aₙ = a₁ + d(n-1)2044 = -50 + 6(n-1)6(n) - 6 = 20946(n) = 2100n = 350Here,
[tex]\sf S_n = \dfrac{n}{2} (2a+(n-1)d)[/tex]
[tex]\sf S_n = \dfrac{350}{2} (2(-50)+(350-1)(6))[/tex]
[tex]\sf S_n =348950[/tex]
Please help me with this question!
Answer:
c 30ft
Step-by-step explanation:
the shape would be a triangle, so you use the formula w^2+l^2=d^2
width is 16, diagonal is 34
1156=l^2+256
you subtract on both sider to get l^2= 900
square root of 900 is 30
Layla makes necklaces to sell online. she spends $46 on supplies at the first store and then $30 at the second store. she press to make a necklaces and sell each necklace at a markup of 75%. how much will she charge for each necklace?
Can anyone help me with my homework?
Write an equation in slope-intercept form of the line that passed through (-3,4) and (1, 4).
Show work
Answer:
y = 4
Step-by-step explanation:
Use slope intercpet form: y = mx + b
find the missing side.
1) 2304
2) 3600
3) 1296
4) 36
Answer:
option 4
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
BC² + AC² = AB² , that is
a² + 48² = 60²
a² + 2304 = 3600 ( subtract 2304 from both sides )
a² = 1296 ( take square root of both sides )
a = [tex]\sqrt{1296}[/tex] = 36
Answer:
[tex]hypotenuse {}^{2} = opposite {}^{2} + adjacent {}^{2} \\ let \: adjacent = x \\ 60 {}^{2} = {48}^{2} + {x}^{2} \\ {60}^{2} - {48}^{2} = {x}^{2} \\ 3600 - 2304 = {x }^{2} \\ 1296 = {x}^{2} \\ x = \sqrt{1296} \\ x = 36[/tex]
Sarah bought 1250 grams of sugar. how many kilograms of sugar did she buy? A. 1.250 B. 12.50 C. 125.0 D 12500
Answer:
1.25 kg
Explanation:
1 kilograms is equal to 1000 grams============
1 g = (1/1000) kg======
So, 1250 gram = (1250/1000) kg
1250 gram = 1.25 kgWe know
1kg=1000gNow
Mass in kg:-
1250/10001.250kgOption A
Pls help I’m really confused
I'll do problem 9 to get you started.
Refer to figure 1 shown below. I've highlighted triangle AOB in red. This is an isosceles triangle with AO = OB as the congruent sides. These sides are congruent because they are radii of the same circle. Consequently, it means that the base angles opposite those sides are congruent.
I'll let x be the base angles. I'll let the remaining interior angle be y. Furthermore, z is adjacent to angle y.
For triangle AOB, and any triangle really, the interior angles add to 180 degrees.
A+O+B = 180
x+y+x = 180
2x+y = 180
y = 180-2x
Then we can say
(angle AOB) + (angle AOP) = 180
y + z = 180
180-2x + z = 180
z = 180+2x - 180
z = 2x
The punchline here is that angle ABP doubles to angle AOP.
angle AOP = 2*(angle ABP)
You'll repeat these same type of steps for triangle BOC in figure 2. The steps are effectively identical so there's not much for me to explain that I already haven't done so. You should find that r = 2m which shows angle PBC doubles to angle POC.
-----------------------------
To wrap everything up for problem 9, we will combine the results we found for variables z and r.
angle AOC = z+r
angle AOC = 2x + 2m
angle AOC = 2(x+m)
angle AOC = 2*(angle ABC)
This concludes the inscribed angle theorem proof. Any inscribed angle doubles to get the corresponding central angle, where both subtend the same arc. In this case, they both subtend the arc APC.
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You spend a $20 per turn on a fair game to win $40 for each win. You win the first two rounds and lose the third one.
What was the net payoff?
$20
$120
-$60
$140
Answer:
I think 20 is the answer tho I might be wrong
A piece of string is 144 inches long. Isabel wants to cut it into 2 pieces so that one piece is five times as long as the other. How long is each piece?
Answer:
24 inches120 inchesStep-by-step explanation:
The lengths can be found by considering their ratio:
short : long = 1 : 5
The sum of the ratio units is 1+5 = 6, and the sum of the lengths is 144 inches. That means each "ratio unit" stands for (144 in)/6 = 24 inches of length.
The lengths are ...
1 : 5 = 24 in : 120 in
The pieces are 24 inches and 120 inches in length.
__
Equivalently, you can let s represent the shorter length. Then 5s is the longer one, and their total is ...
s +5s = 144
s = 144/6 = 24
5s = 5(24) = 120
The lengths are 24 inches and 120 inches.
What is the quotient of the division below? 96 divided by 3 = 13 23 31 32
Answer:
The answer is 32
Step-by-step explanation:
9/3=3 6/3=2 32
Find the missing angle.
Answer:
85 degrees
Step-by-step explanation:
The angles in a quadrilateral add to 360 degrees, so x+109+96+70=360.
This means that x=360-109-96-70=85 degrees
please help fast it is due
Answer:
25
Step-by-step explanation:
use the formulae SOHCAHTOA. cos45=adjacent/hypotenuse. cos45=x/25square root 2=25According to the Current Population Report of the United States census, 32. 3% of males aged 25 or older have earned a bachelor's degree or higher. Suppose that Nancy works for the city of Peoria, AZ. City officials have asked her to estimate the proportion of males aged 25 or older in Peoria who have earned a bachelor's degree or higher. They have requested that her estimate have confidence level of 95% and a margin of error of 2%, or 0. 2. Determine the sample size n needed for the 95% confidence interval to be no more than 0. 2.
Answer:
i did this on study island
Step-by-step explanation:
The dimensions of a rectangular prism are given in the net shown. 7 in. x4 . 3 in. 5 in. 3 in.x 4 5 in. What is the total surface area of the rectangular prism in square inches? 71 in 2
The total surface area of any given net of a rectangular prism = area of each rectangular face.
What is the Total Surface Area of a Rectangular Prism?If we are given the net of a rectangular prism, the total surface area of the rectangular prism is the area of each rectangular face all summed together.
The image of the net of the rectangular prism is missing, however, let's assume the image attached below is the net of the prism.
Therefore, the total surface area of the rectangular prism = area of each rectangular face = 20 + 8 + 40 + 8 + 20 + 40 = 96 cm².
Learn more about the rectangular prism on:
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in a particular survey of internet users, 3605 resondents say that they use socail networking sites and 1306 respondents say that they do not use social networking sites. What is the probablity that a randomly selected person uses a social networking site
Answer:
73.4%
Step-by-step explanation:
First, find the total number of people:
3605+1306=4911 people
The formula for any probability is:
Part / Whole
3605 respondents out of the total 4911 people say they use a social networking site
3605/4911 = 0.7341
Multiply this by 100 to get a percent
Thus, 73.4%