Answers
Answers:
angle STU = 65 degreesangle TUA = 123 degrees=========================================================
Explanation:
Let's find the expression for angle TUS in terms of x
Angle TUA has the expression 11x+2. It will add to angle TUS to get 180 degrees
(angle TUS) + (angle TUA) = 180
angle TUS = 180 - (angle TUA)
angle TUS = 180 - (11x + 2)
angle TUS = 180 - 11x - 2
angle TUS = -11x + 178
Now focus on the interior angles of triangle TUS. We have these three angles
T = 5x+10U = -11x+178S = 58For any triangle, the interior angles always add to 180, so,
T+U+S = 180
(5x+10) + (-11x+178) + (58) = 180
(5x-11x) + (10+178+58) = 180
-6x + 246 = 180
-6x = 180-246
-6x = -66
x = -66/(-6)
x = 11
Use this x value to find the angle measures we're after:
angle STU = 5x+10 = 5*11+10 = 55+10 = 65 degreesangle TUA = 11x+2 = 11*11+2 = 121+2 = 123 degrees--------------------------
As an alternative route, you can apply the remote interior angle theorem. This says that adding two interior angles leads to the exterior angle that isn't adjacent to either one.
In this case, we would say
(angle STU) + (angle TSU) = angle TUA
that leads to the equation
(5x+10) + (58) = 11x+2
Solving this should lead to x = 11 to generate the angles mentioned earlier.
Related Questions
I have one word to say. MATH.
Answers
since you multiply the numerators and denominators.. so since the first fraction is 1/2 & the second is 3/4, you’d multiply it like:
1 x 3 & 2 x 4, giving you 3/8.
write this phrase as an expression: the sum of 25 and 14
Answers
Answer:
25 + 14
Step-by-step explanation:
Sum means addition of values.
Answer:
25+14
Step-by-step explanation:
expression doesn’t use an equal sign and sum is addition :)
Evaluate the expression. √9 =?
Answers
I need help with this
Answers
8 = 3a – 4
what is value of a ?
Answers
Answer:
a=4
Step-by-step explanation:
8=3a-4
12=3a
a=4
5x + 10y = -5
-5 - y = 32
Answers
x= 53
solving for y:
-5-y=32
add y to both sides
-y = 27
divide by -1
y= -27
solving for x
plug in -27 for y in the first equation
5x +10(-27) =-5
5x+ (-270) =-5
add 270 to both sides
5x= 265
divide by 5 on both sides
x= 53
Alexandra is going to a carnival that has games and rides. Each game costs $3 and
each ride costs $4.50. Alexandra spent $54 altogether at the carnival and the number
of rides she went on is 7 more than the number of games she played. Graphically
solve a system of equations in order to determine the number of games Alexandra
played, 2, and the number of rides Alexandra went on, y.
PLEASE ANSWER ASAP
Answers
Answer:
Game =$6 and ride=$9, to solve is 3x+4y=54
x+y=15
Step-by-step explanation:
;)
Expand and simplify 7a + 4(a-2b)
Help please :)
Answers
Answer:
11a - 8b.
Step-by-step explanation:
7a + 4(a-2b)
= 7a + 4a - 8b
= 11a - 8b.
can anyone please answer this if you can i’m confused
Answers
Answer:
Ge I Joe 02 04 Soccer balls height
todos los números pares son múltiplos de :
ayuda es para hoy
Answers
Answer:
11
Step-by-step explanation:
Creo nose XD (revisa los múltiplos de 11 siempre son pares) xd
10) using opposite operations solve for x
30 = - 6 x + 12
Answers
please help!!!!! i’ve been stuck on this question
Answers
Answer:
30
Step-by-step explanation:
The angle for BOF is going to be 180.
So if the angle for COF is 150, then COB is going to be the complement angle.
This means it's 180 - 150 = 30.
4x + 5 + 3x – 12 =
A.9x-9
B.7x+7
C.7x-7
Answers
Answer:
7x - 7
Step-by-step explanation:
In this equation you are going to add like terms.
The like terms you have are the terms with x and then the terms without the x.
So 4x + 3x = 7x
5 - 12 = -7
So your answer is 7x-7
Solve for x.
6x + 10 = 52
Answers
(6)(7) + 10 = 52
42 + 10 = 52
Answer:
7
Step-by-step explanation:
well let’s just think that there’s already 10. let’s ignore the 10 for later.
now let’s think about 6x. of course the x is unknown (variable) which we have to find, so what you want to do, (easy way) think of every multiple of the number 6. so that of course includes 6, 12, 18... etc. now if you continue, you will get to the number 42. now it might not click right there but 42... is what we need since we already have the 10. since 42 + 10 = 52, now we just need to find out what 42 divided by 6 is... 7! 7x6 or 7(6) is 42, plus the starting 10 is 52!
therefore, x = 7.
The radius of a circle is 5 cm. What is the radius of another circle whose area is 25 times that of the first one?
Answers
Answer:
Step-by-step explanation:
a₁ = πr₁⁵ = 25π cm²
a₂ = 25(25π) = 625π cm²
r₂ = 25 cm
What is the approximate volume of the cylinder?
Answers
Answer:
V ≈ 509 m3 ← with 3.14 for π =2462 feet³
Step-by-step explanation:
I hope I helped, This is my math just round up :)
At the local animal shelter, there are 25 cats and 30 dogs. What is the ratio of dogs to cats at the local animal shelter?
A. 1:25
B. 6:5
C. 5:6
D. 25:1
Answers
Answer:
c
Step-by-step explanation:
because im smart :)
Find the percent of decrease. Round to the nearest whole percent. 428 to 377
Answers
Answer:14
Step-by-step explanation:
(I’ll give brainliest) Jack designed a bridge that would be 0.2 miles long and 3/5 of the bridge has been built. How long is the section of the bridge that is finished? Show how you know.
Answers
Answer: 0.12
Step-by-step explanation: Well since 5/5=1 and in this case 3/5 of 0.2 or
3/5 x 0.2 = 0.12miles of the bridge is finished. to check do 0.2*2/5 since 2/5+3/5=5/5 or the total 0.2miles. so 0.2*2/5 =0.8 and 0.8+0.12= 0.2
i have to solve for H
Answers
Answer:
h = [tex]\frac{3v}{\pi r^{2} }[/tex]
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
what is the perimeter of this building?
Answers
Answer:
115 m
Step-by-step explanation:
4 + 9 + 6 + 4 = 23 cm
23 x 5 = 115 m
Does this system have one
olution,
5x + 3y = 1
35x + 21y = 2
Choose the correct answer below.
o One solution
0 Infinitely many solutions
O No solution
Answers
Answer:
infinitely many solutions cuz in mathmatices any problem has solution
I REALLY need help! Solve the inequality. State the solution in inequality notation.
2(3x−4)+14>−2(−3x−5)+4x
Answers
Answer:
x<−1
Step-by-step explanation:
Answer:
x < -1
2(3x - 4) + 14 > -2(-3x - 5) + 4x
<=> 6x - 8 + 14 > 2(3x + 5) + 4x
<=> 6x + 6 > 6x + 10 + 4x
<=> 4x + 4 < 0
<=> 4x < -4
<=> x < -1
5/7x - 14 = -22. Find x.
Answers
Answer:
x = -56/5, -11 1/5, or -11.2
Step-by-step explanation:
5/7x - 14 = -22
5x -98 = -154
5x = -154 + 98
5x = -56
x = -56/5, -11 1/5, or -11.2
Answer:
x= -11.2
Step-by-step explanation:
5/7x-14=-22
+14 +14 Add 14 on both sides
5/7x = -8
(7/5)*5/7x = -8*(7/5) Multiply by the reciprocal on both sides to leave x alone
x= -11.2 Answer
Write down two different prime numbers that have a sum of 34.
Answers
Answer:
23+11
Hope that helps :)
Answer:
31+3
Step-by-step explanation:
2,3,5,7,11,13,17,19,23,27,29,31
31+3=34
In the diagram, which pair of angles are alternate interior angles?
O <2 and <5
O <1 and <7
O <5 and <3
O <7 and <4
Answers
The alternate interior angles shown are <3 and <5, as well as <2 and <8.
I hope this helped!
Answer:
ur answer would be
<2 and <5
step-by-step explanation:
hope this helps
a) What is the name of the line marked a?
b) What is the name of the line marked b?
c) What is the name of the line marked c?
d) What is the name of the line marked d?
Answers
b = radius
c = diameter
d = chord
Answer:
Step-by-step explanation:
raduis and diameter.
Find the product. (2f – 1)^2 =
Answers
Answer: 4f^2 -4f+1
Step-by-step explanation:
2f-1)^2
This is equal to
(2f-1) * (2f-1)
FOIL
first: 2f*2f = 4f^2
outer: 2f*-1 = -2f
inner: -1*2f = -2f
Last = -1*-1 = 1
Add them together: = 4f^2 -2f-2f+1
Combine like terms 4f^2 -4f+1
Answer:
(2f-1)(2f-1)
2f^2-2f-2f+1
2f^2-4f+1
Expand the expression: -7 (4y -3x) - 8
Answers
Answer:
-7 (4y-3x) - 8 = 0
Step-by-step explanation:
Answer: (4y + −7) − ( 3x + −8)
Step-by-step explanation:
Name this polynomial by its degree: 3x² + 5x-3
Answers
Answer:
[tex]\boxed{\textsf {The given polynomial is a quadratic polynomial. }}[/tex]
Step-by-step explanation:
A polynomial is given to us and we need to make the polynomial by its degree . Here the given polynomial is 3x² + 5x -3 .
[tex]\sf\implies p(x)= 3x^2+5x-3 [/tex]
So here we can see that the highest power of the variable in the given polynomial is 2 . So the polynomial is a quadratic polynomial .
★ More to Know :-
When we equate this quadratic polynomial with 0 , it becomes a quadratic equation.
That is ,
[tex]\sf\implies p(x)= 3x^2+5x-3=0[/tex]
This is done in order to find the zeroes of the polynomial. The zeroes of the polynomial are the values for which the polynomial becomes 0 .