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Hope this helped and if you please, marl as brainliest ^^
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PLEASE HELP ...... Geometry Homework, I'll give brainliest
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- Supplementary angles (two angles that form a straight angle when added) add to 180°
- The interior angles of a triangle add to 180°
- Sides opposite congruent angles in a triangle are also congruent
- Alternate interior angles are congruent when formed by a transversal through two parallel lines
With that in mind, let's get to the problem. First, what data have we been given?
Let's drop another point on the ground to the left of point T called S, so we can get all of this data together. We know that:
[tex]AB = 2.4\ mi\\\overrightarrow{ST}||\overrightarrow{AC}\\\angle{ATS}=40\textdegree\\\angle{BTS}=80\textdegree[/tex]
We don't know the measure of ∠ATB, but we do know that it shares the larger angle ∠BTS (which is 80°) with ∠ATS (which is 40°). Since ∠ATB + ∠ATS = ∠BTS, we can clearly see that ∠ATB must also be 40°, so now we have the new data that ∠ATB = 40° to work with.
Next, notice that ∠BTS and ∠CBT are alternate interior angles, and the lines they rest on, [tex]\overrightarrow{ST}[/tex] and [tex]\overrightarrow{AC}[/tex], are parallel. This implies that ∠BTS and ∠CBT are congruent, which makes ∠CBT = 80°.
∠CBT and its neighboring angle ∠ABT, when combined, form a straight angle, making them supplementary to one another. This means that ∠CBT + ∠ABT = 180°, or 80° + ∠ABT = 180°. Subtracting 80° from both sides, we see that ∠ABT = 100°.
We're almost done; we now bring our attention now to the triangle formed by the points ABT. What do we know about this triangle? We're given that one of its sides, AB, is equal to 2.4 mi; most recently, we determined that one of its angles, ∠ABT, was equal to 100°; and even earlier, we found that the second one of its angles, ∠ATB, was equal to 40°. We have two angles and a side, which, as I'm about to demonstrate, is more than enough for our purposes. If we've found the measures of two angles of triangle ABT, we can use the fact that a triangle's interior angles add to 180° to find the third angle, ∠BAT. We have:
∠ABT + ∠BTA + ∠BAT = 180°
Substituting ∠ABT and ∠BTA for the values we found for them:
100° + 40° + ∠BAT = 180°
140° + ∠BAT = 180°
∠BAT = 40°
We now know that ∠BAT and ∠BTA are congruent, which means that the triangle BTA is isoceles. This means that the sides opposite those angles will also be congruent. The side opposite ∠BTA is the line segment AB, which we know to be 2.4 mi, which means the side opposite ∠BAT, BT - the side we've been looking for - must also be 2.4 mi.
The winner in a vote for class president received 3/4 of the 240 votes. How many votes did the winner receive?
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[tex] \frac{3}{4} [/tex] = [tex] \frac{x}{240} [/tex]
After cross multiplying, you would be left with the following.
4x = 720
All you would have to do now is solve for x.
[tex] \frac{4x}{4} [/tex] = [tex] \frac{720}{4} [/tex] = 180
The answer would be, the winner for class president received 180 votes.
I hope this helps!
A pair of parallel lines is cut by a transversal as shown below which of the following best represents the relationship between angles p and q
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Given a right triangle, find the degree measure of the angles if one angle is ten degrees more than four times the degree measure of the other angle and the third angle is the right angle.
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a right angle is 90 degrees
the other 2 angles must equal 180-90 = 90 degrees
1st angle = x
2nd angle = 4x+10
add them together:
x + 4x +10 = 90
combine like terms:
5x +10 = 90
subtract 10 from each side:
5x =80
divide both sides by 5:
x = 80 /5 = 16
1st angle = 16 degrees
2nd angle = 4(16) +10 = 64 +10 = 74 degrees
PLEASE HELP I WILL GIVE 50 POINTS
What value correctly fills in the blank so that the expressions are equivalent?
32 + 72 = ___ ´ (4 + 9)
4
8
12
13
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4 + 9 = 13
104 / 13 = 8
your answer would be 8
Hope this helps!
and May the Force Be With You
-Jabba
What is 0.6 equal to as a fraction
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Because .6 is the same as 60/100. 60/100 reduces to 6/10s, which reduces further to 3/5s.
Using the place value chart we can see that the decimal 0.6 is six tenths, so we can write 0.6 as the fraction . Notice however that is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 6 and 10 which is 2.
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use rounding to estimate 10 4/5 + 8 9/10
A. 19 1/2
B. 20
C. 18
D. 19
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there are more cups in 5 gallons than in 22 quarts true or false
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galloan would be 352 cups whilee
the quarts would be 88 onli
how to express 1/243 using a negative exponent other than -1
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The exponent of 1/243 is [tex]3^{-5}[/tex].
What is a exponent and power.
Exponents and powers can be used to represent extremely large or extremely small numbers in a more straightforward way. To illustrate 3 x 3 x 3 x 3 in a straightforward manner, for instance, we could write it as 34, where 4 is the exponent and 3 is the base. It is claimed that the entire expression 34 has power. Here, you can also learn about exponent laws. Power is essentially an expression that displays the same number or factor being multiplied repeatedly.
Given that,
[tex]\frac{1}{243}[/tex] , taking the prime factorization of 243
[tex]\frac{1}{243}[/tex] = [tex]\frac{1}{3.3.3.3.3}[/tex]
= [tex]\frac{1}{3^{5} }[/tex]
Write the power in negative form
[tex]\frac{1}{243}[/tex] = [tex]3^{-5}[/tex]
Hence, The exponent of 1/243 is [tex]3^{-5}[/tex].
To learn more about the exponent from the given link:
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To express 1/243 with a negative exponent other than -1, write it as 3^-5 since 243 is 3 raised to the power of 5
To express the fraction 1/243 using a negative exponent, first recognize that 243 can be written as 3^5, since 3 × 3 × 3 × 3 × 3 equals 243. Therefore, 1/243 is the same as 1/(3^5). By the rules of exponents, this can be written with a negative exponent as 3^-5. Hence, 1/243 expressed using a negative exponent other than -1 is 3^-5
Bernard and Adriana grew sunflowers in their backyard. Bernard's sunflower grew 4.23 centimeters in one week and 8.91 centimeters the second week. Adriana's sunflower grew 15.12 centimeters in two weeks. Over two weeks, how much more did Adriana's sunflower grow than Bernard's?
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Answer:
1.98 centimeter
Step-by-step explanation:
Hope this will help
find the equation of the line that contains the point (-1,-11) and is parallel to the line 7x+3y=10
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To find the equation of a line, you need two things: the slope and the y-intercept.
The slopes of parallel lines are the same. So we can find the slope of the new line by finding the slope of the first line. To do that, we need to put it in y=mx+b format, where m is the slope. So we must rearrange the 7x+3y=10. First subtract 7x from both sides to make it look like:
[tex]3y=10-7x[/tex]
Then divide both sides three:
b[tex]y= \frac{10}{3} - \frac{7}{3} x[/tex]
So now that it's in y=mx+b format, we can now see that the m= - \frac{7}{3}
Now we know the m of the new equation, we need to find the b, or the y-intercept. To do this, we can plug the point we have and the m value into the y=mx+b format.
[tex](-11)=- \frac{-7}{3} (-1) + b[/tex]
Solving this, we can subtract 7/3 from both sides:
[tex]-11- \frac{7}{3} = b[/tex]
Therefore, b= [tex]-13 \frac{1}{3} [/tex]
Plugging the m= - \frac{7}{3} and the b= [tex]-13 \frac{1}{3} [/tex] back into the y=mx+b format, your parallel line is y=- \frac{7}{3} [tex]-13 \frac{1}{3} [/tex].
How many times smaller is 3 × 10-7 than 6 × 10-6?
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6*10-6=54
it is 2.35 times smaller.
Which expression is equivalent to −4.5+(−5.5)+(−3.1) ?
1. (4.5+5.5)+(−3.1)
2. −4.5+(5.5+3.1)
3. −(4.5+5.5+3.1)
4. −4.5−(5.5−3.1)
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Answer:
i think the answer is also A
Step-by-step explanation:
What is the value of x in the equation 2x+3y=36 when y = 6
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2x+18=36
-18 -18
2x=18
2x/2=x
18/2=9
x=9
convert 2.5 to a fraction in simplest form
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2. Then you reduce 25/10 by 5, so it will be in simples form. And your answer is 5/2!
Hope this helped and Good Luck! :D
2.5 in fraction form is 25/10 .
2.5 in simplest form = 5/2 .
Given, Number = 2.5
Now , firstly convert 2.5 in fraction form.
2.5 = 25/10
GCF of 25 and 10 = 5
Divide 25 and 10 by 5
= 5/2
Hence the fraction in simplest form is 5/2 as it can not be further simplified .
Know more about fractions,
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Letters a, b, c, and d are angle measures. Which should equal 105° to prove that f ∥ g?
abcd
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we know that
If lines f and g are parallel
then
the angle c must be equal to
∠c=[tex]75\°[/tex] ------> by alternate exterior angles
and
∠c+∠d=[tex]180\°[/tex] ------> by supplementary angles
so
∠d=[tex]105\°[/tex]
therefore
the answer is
The angle d should be equal to [tex]105\°[/tex] to prove that f ∥ g
your answer is d on edge.
There are 35 more musicians in the String section of a city Symphony Orchestra than in its Brass section. There are 29 musicians in the Brass section. 1. How many musicians in all are in the String and Brass sections of the Symphony Orchestra?
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70 in the string and brass sections of the Symphony Orchestra.
What Is the y-intercept of f(x)=((1/4))^x
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Answer:
(0,1)
Step-by-step explanation:
If the sun approximately 1.5 * 10/11 meters from Earth how long does it take for light to reach earth
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t=(1.5*10^11/3.0*10^8)/60=8.33 minutes
If you did want a hypothetical that puts the Earth at 1.5*10^11 kilometers from the sun, then it would take 8333.3 minutes for the sunlight to reach the "Earth's" surface.
t=(1.5*10^14/3.0*10^8)/60=8333.3 minute
Answer:
500
Step-by-step explanation:
Acellus
HELP ME. I AM SOOO STUCK AND I DON'T WANT TO FAIL
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Our (realistic) options for these are
7 and 8
6 and 9
5 and 10
Due to that I personally feel like their areas are pretty close together, and that more people take a car than bike, I think 7 people bike and 8 people take a car.
One winter day, the temperature was -15°F. Later that day, the temperature rose 12°F to reach the high temperature for the day. If t represents the high temperature, what is t? A. 27°F B. 3°F C. -3°F D. -27°F
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Stefanie is painting her bedroom. She can paint square feet in of an hour. How many square feet can she paint in one hour?
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5c-15 factor out the coefficient of the variable
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To factor out the coefficient of the variable from 5c - 15, divide both terms by the coefficient which is 5, yielding the factored form: 5(c - 3).
Explanation:The expression 5c - 15 involves multiplication by the coefficient of the variable c and subtraction of 15. To factor out the coefficient of the variable here, we're looking to take out a common factor from both 5c and -15. The coefficient of the variable c is 5, which is also a factor of -15.
So, to factor out the coefficient of the variable (which is 5) we divide both terms by 5, which gives us: 5(c - 3). Here, 5 is factored out and (c - 3) is what remains.
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got it wrong plss help and explain
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There are 15 white marbles and a total of 20
So the fraction of white marbles to total would be 15/20
Because the answer is wanted as a decimal divide 15 by 20
15/20=.75
There is a .75 chance that she will not draw a black marble
Which is bigger 7/8 or 0.78
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78/100
Simplified it is: 39/50
So, now you cross multiply 7/8 and 39/50 to check it. The number is larger over the 7/8 so you know it is greater.
So, in conclusion 7/8 > 0.78
I hope this helps:)
Identify the coefficient of the term -2mnp.
A. 2
B. -2
C. m
D. mnp
I think it is -2 but need a second opinion
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Answer:
b -2
Step-by-step explanation:
The coefficient of the given term -2mnp is -2. Therefore, option B is the correct answer.
The given term is -2mnp.
What is the coefficient of the term?A coefficient is an integer that is written along with a variable or it is multiplied by the variable. In other words, a coefficient is the numerical factor of a term containing constant and variables.
A coefficient is the numerical factor.
Now, the coefficient of the term -2mnp is -2.
The coefficient of the given term -2mnp is -2. Therefore, option B is the correct answer.
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Pre-Cal Help!! (Image Attached)
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We know (or should know) the sine and cosine values of each of these.
sin (x+y) = sin x cos y + cos x sin y
Here,
sin (165) = sin 120 cos 45 + cos 120 sin 45, or
sin (165) = sqrt(3)/2 * 1/sqrt(2) + 1/2 * 1/sqrt(2)
Finish this work; it will give you the correct answer.
if five is subtracted from three times a certain number,the result is 10.what is the number?
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3n - 5 = 10.
Next, isolate the variable.
3n - 5 = 10
+ 5 + 5
3n = 15
Lastly, solve for n.
3n/3 = 15/3
n = 5
You are going on a road trip over a distance of 3000 kilometers with three friends. The car consumes 6 liters of gas per 100 kilometers and gas costs $1.20,per liter.
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Haily paid $13 for 1 and 3/7kg of sliced salami .what was the cost per kilogram of salami
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1 kg = 7/10*13= $9.1
The cost per kilogram is $9.10.
Haily paid $13 for 1 and 3/7 kg of sliced salami. To find the cost per kilogram of salami, follow these steps:
Convert the mixed number to an improper fraction: 1 and 3/7 = 10/7 kg.Divide the total cost by the total weight: $13 ÷ (10/7) kg.Perform the division by multiplying by the reciprocal: $13 × 7/10 = $9.10.The cost per kilogram of salami is $9.10.