Triangle Sums***GRADED 1 of 51 of 5 Items #1 Triangle RST is shown. What is the measure of ∠T? Record your answer and fill in the bubbles on the grid. Be sure to use correct place value.
Answers
Answer:
[tex]\angle T = 70[/tex]
Step-by-step explanation:
Given
[tex]\angle T= 2x[/tex]
[tex]\angle S= 75[/tex]
[tex]\angle R= x[/tex]
See attachment for triangle
Required
Calculate [tex]\angle T[/tex]
First, we add up the angles in the triangle;
[tex]\angle R + \angle S + \angle T = 180[/tex]
[tex]x + 75 + 2x = 180[/tex]
Collect like terms
[tex]x + 2x = 180 - 75[/tex]
[tex]3x = 105[/tex]
Solve for x
[tex]x = \frac{105}{3}[/tex]
[tex]x = 35[/tex]
Given that:
[tex]\angle T= 2x[/tex]
[tex]\angle T = 2 * 35[/tex]
[tex]\angle T = 70[/tex]
Related Questions
Find the Volume. Use pi=3.14. Round to the nearest hundredth.
4.19in^3
419in
4.2cm^3
0.52in^3
Answers
Step-by-step explanation:
radius = 1 inches
π = 3.14
volume of SPHERE = 4/3 × π × radius³
= 4/3 × 3.14 × 1³
= 4.19 inches³
Can someone please give me this answer and hurry
Answers
Answer:
113.04cm
............
Who can describe and correct the error in finding volume of the cone
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Who can help , desperately need
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Answer:
1/4 is x and 1 is b
Step-by-step explanation:
A 28 ft tall house casts a shadow that is 35 ft long. A umbrella outside the house casts a shadow that is 16 7/8 long. How tall is the umbrella?
Answers
Answer:
The unbrella is 13.5 feet tall.
Step-by-step explanation:
35 / 28 = 1.25
1.25x = 16 7/8
x = (16 7/8) / 1.25
x = 13.5 ft
how do u turn 3 into a fraction?
Answers
Answer:
[tex]\frac{3}{1}[/tex]
Step-by-step explanation:
Put a 1 under it.
so the answer is 3/1
The units for square centimeters are written as
Check all that apply.
O A. cm2
B. sq. cm
C. km2
D. sq.m
E cm
Answers
I really need help!!!!!!
Answers
Answer:
y = 1.50x + 4 ;
Step-by-step explanation:
Given that bike rental cost $4 plus $1.50 per hour
From the information given, the change in y per unit change in x is the value of the slope ;
Therefore, Given that total cost = y and x) number of hours
Change in cost per change in number of hours) 1.50 = slope ; intercept = constant = $4
The equation, in slope intercept form :
y = mx + c
y = 1.50x + 4
у
80
The graph of quadratic function
is shown on the grid.
What is a solution to r(x) = 0?
60
40
A -50
20
B 4
х
-4
4
8
12
- 16 -12 -8
16
C 14
-20
D-60
vo
-60
-80
Answers
Answer:
C 14
Step-by-step explanation:
PLEASE HELP ME :(
The questions and answer choices are in the picture.
It would also reallyyyyy help me if you explain how you solved it. At least just show the steps.
Thank you!
Answers
Hi army! I found the answer!
Answer:
F. An 18-month loan with an annual simple interest rate of 4.75%
Step-by-step explanation:
I just used a credit card payoff calculator to solve this problem. You can use that calculator to solve other problems like this too!
Also, stream BTS Film Out for clear skin and good grades ;)
Have a great day!
QUESTION 45
What is the value of x?
3x
Answers
Answer:
1/67
Step-by-step explanation:
Complete question
If X+2/3x is equal to 45. find the value of x
Given the equation
x+2/3x = 45
Cross multiply
x+2 = 3x(45)
x+2 = 135x
x - 135x = -2
-134x = -2
x = 2/134
x = 1/67
Hence the value of x is 1/67
Based on the graph below, what is the domain and range of the function?
Answers
Answer:
The f(x) domain is the set of all values for the function and the function spectrum is the set of all values for which f is defined.
Step-by-step explanation:
Answer:
Domain = all real numbers
Range = y ≥ -4
Step-by-step explanation:
Domain is the x-values, and for parabolas it is almost always all real numbers.
Range is the y-values, and the lowest it gets is -4.
() = 0.50, () = 0.70, ( ∪ ) = 0.85 Are the events, and , independent in this situation? You must provide reasoning for your answer.
Answers
Answer:
Independent events
Step-by-step explanation:
Given
[tex]P(A) = 0.50[/tex]
[tex]P(B)= 0.70[/tex]
[tex]P(A\ u\ B) = 0.85[/tex]
Required
Determine the relationship between the events
To do this, we simply calculate P(A n B) using:
[tex]P(A\ n\ B) = P(A) * P(B)[/tex]
and
[tex]P(A\ n\ B) = P(A) + P(B) - P(A\ u\ B)[/tex]
So, we have:
[tex]P(A\ n\ B) = P(A) * P(B)[/tex]
[tex]P(A\ n\ B) = 0.50 * 0.70[/tex]
[tex]P(A\ n\ B) = 0.35[/tex]
and
[tex]P(A\ n\ B) = P(A) + P(B) - P(A\ u\ B)[/tex]
[tex]P(A\ n\ B) = 0.50 + 0.70 - 0.85[/tex]
[tex]P(A\ n\ B) = 0.35[/tex]
Since: [tex]P(A\ n\ B) = P(A) * P(B)[/tex] [tex]= 0.35[/tex]
Then: the events are independent
Find the absolute value of the number for point E.
Answers
Answer:
1
Step-by-step explanation:
Answer:
The answer is 1
Step-by-step explanation:
E is -1 and the absolute value is the posotive of any number. The positive of -1 is 1.
The density of mercury is 13.5 times greater than the density of water. If you were to build a barometer that used water instead of mercury to record the standard pressure at sea level, what would be the height of that barometer? Assume that the mercury barometer is 76 centimeters, or 29.92 inches, long (this is the standard atmospheric pressure at sea level). View Available Hint(s) The density of mercury is 13.5 times greater than the density of water. If you were to build a barometer that used water instead of mercury to record the standard pressure at sea level, what would be the height of that barometer? Assume that the mercury barometer is 76 centimeters, or 29.92 inches, long (this is the standard atmospheric pressure at sea level). 110.29 centimeters (43.42 inches) 5.63 centimeters (2.21 inches) 89.5 centimeters (35.24 inches) 1026 centimeters (403.92 inches)
Answers
Answer:
h = 403.92in or 1026cm
Step-by-step explanation:
Given
Let x represent the density of mercury, and y the density of water.
[tex]y = 13.5x[/tex]
[tex]Mercury\ barometer =76cm[/tex] or [tex]Mercury\ barometer =29.92in[/tex]
Required
Determine the height of the barometer
At standard atmospheric pressure, the relationship between the mercury barometer and the height (h) of the barometer is:
[tex]h = 13.5 * Mercury\ barometer[/tex]
In centimeters, we have:
[tex]h = 13.5 * 76cm[/tex]
[tex]h = 1026cm[/tex]
In inches, we have:
[tex]h = 13.5 * 29.92in[/tex]
[tex]h = 403.92in[/tex]
Find m∠P. explanation is optional
Answers
The angle that is marked with “120” is equal to the one that’s on the opposite corner.
And to find angle P ur gonna need to find 180-120 cuz they’re supplementary angles. (Meaning that they’re equal to 180)
Can someone plz help me I beg u
Answers
Answer:
28.26
Step-by-step explanation:
The formula for finding the circumference is C=2pi(radius) and the radius is half of the diameter, which in our case is 4.5. So 2*3.14*4.5=28.26
How much can this water
tank hold?
20 ft
40 ft
cubic feet
ETOOTC
Volume of Cylinder = 7r2 x h
Use 3.14 for .
Do NOT round your answer.
Answers
Answer:
15 i don't think it is right
Greg’s backyard is 47 feet wide. How many yards and feet is this?
Answers
Answer:
15 yards amd 3 feet.
Step-by-step explanation:
I wish to get extra three points :)
Answer:
This is 15 yards and 3 feets.
I need this done today please help!
Answers
Answer:
1.
2. 4:7
3.
4.10:4
5.
id k the rest sorry :/
A circle has a radius of 13 cm what is the diameter of the circle? What is the circumference of the circle? What is the area of the circle? Step-by-step answer please
Answers
Answer:
Diameter: 26cm
Circumference: 26π / 81.68cm
Area: 169π / 531cm²
Step-by-step explanation:
Diameter is radius x 2, so 13 x 2 = 26
Circumference is diameter x π, so 26 x π = 26π / 81.68cm
Area is π x r², so π x 13² = 169π / 531cm²
multiple 2y(6y2+4y-3)
Answers
Answer:
Step-by-step explanation:
Y- intercepts (-3 = 2 3, 0) , (-3 - 2 3, 0)
Select the correct answer.
Which value in this data set is an outlier?
4,5, 1, 7, 4, 5, 8, 9, 6, 5, 4, 9,7
O A. 1
OB.
N
O C.
3
D. 9
Answers
Answer:
answer is 1
Step-by-step explanation:
HELP Me PLEASE I'M BEGGING. I GOT TO SEND IT TONIGHT
Answers
Answer:
1. -34
Step-by-step explanation:
Find the value of x. Round to the nearest tenth
Answers
Answer:
36.869 or 36.87
Step-by-step explanation:
first, you find which trig function you are using. in this case, tangent.
then, you put calculate the arctan(3/4) which is 36.96989765
The measure of angle x = 36.9°
What is right triangle?"It is a triangle in which one of the angle measures 90° "
What is hypotenuse?"It is the longest side of the right triangle."
What is Pythagoras theorem?"In a right triangle [tex]a^{2}+ b^{2}= c^{2}[/tex] where c is the hypotenuse and a, b are other two sides of the right triangle."
What is sine angle?"In a right triangle, sine of angle [tex]\theta[/tex] is the ratio of the opposite side of angle [tex]\theta[/tex] to the hypotenuse."
For given question
First we find the hypotenuse of the right triangle.
Let 'h' be the hypotenuse of the right triangle.
Using Pythagoras theorem,
[tex]h^{2} =3^{2} +4^{2} \\\\h^{2} =9+16\\\\h^{2} =25\\\\h=5[/tex]
We find the sine of angle 'x'
[tex]\Rightarrow sin(x)=\frac{opposite~side~of~x}{hypotenuses} \\\\\Rightarrow sin(x)=\frac{3}{5}\\\\ \Rightarrow sin(x)=0.6\\\\\Rightarrow x=sin^{-1}(0.6)\\\\\Rightarrow x=36.9^{\circ}[/tex]
Therefore, x = 36.9°
Learn more about the sine angle here:
https://brainly.com/question/13256520
#SPJ2
Identify the like terms in the expression 4x+5-x^3-3x
Answers
If f(x) = 3x^0 - 2x^-1 +4 then f(2)=
Answers
Answer:
try this link
Step-by-step explanation:
https://www3.nd.edu › WorkPDF
Web results
MATH 10550, EXAM 1 SOLUTIONS 1. If f(2) = 5, f(3) = 2, f(4) = 5, g(2 ...
Use the following picture to find the measure of angles 3 and 4. (picture)
Answers
3=70, 4=80
The Parks Department collected data on 20 fishermen at a local lake. Each person caught two fish. The scatterplot below shows the relationship between the weight of the first fish a person caught and the weight of the second fish a person caught.
Study the graph below...
Weight of Fish...
Weight of second fish... ounces..
weight of first fish... ounces...
Which of the following best describes the association of the data?
A. Positive association
B. Negative association
C. No association
D. Non-linear association
Answers
Answer:
I think it's A
Step-by-step explanation:
The range of a projectile that is launched with an initial velocity v at an angle of a with the horizontal is given by R
sin
where g is the acceleration due to gravity or 9.8 meters per second squared. If a projectile is launched with an initial velocity of 1
meters per second, what angle is required to achieve a range of 20 meters? Round answers to the nearest whole number.
Answers
Answer:
[tex]\theta=30.285^{\circ}[/tex]
Step-by-step explanation:
The range of a projectile is given by :
[tex]R=\dfrac{u^2\sin2\theta}{g}[/tex]
Put R = 20 m, u = 15 m/s and finding the value of angle of projection
So,
[tex]R=\dfrac{u^2\sin2\theta}{g}\\\\\sin2\theta=\dfrac{Rg}{u^2}\\\\\sin2\theta=\dfrac{20\times 9.8}{15^2}\\\\\sin2\theta=0.871\\\\2\theta=\sin^{-1}(0.871)\\\\2\theta=60.57\\\\\theta=30.285^{\circ}[/tex]
So, the required angle of projection is equal to [tex]30.285^{\circ}[/tex].