In the figure above, RT = TU. What is
the value of x ?
A) 72
B) 66
C) 64
D) 58
Answer:
C. 64
Hope that helps you
The value of the angle x is calculated as: ∠x = 64
How to find the value of the missing angle?Let the intersect of line SV and RT be Y
Sides RTU forms a triangle, and the sum of the interior angles of a triangle is 180.
Since RT = TU, ∠TRU = ∠TUR = z
114 + z + z = 180
114 + 2z = 180
2z = 180 - 114
2z = 66
z = 66/2
z = 33
Line STU is a straight line and the angle of a straight line is 180. Thus:
114 + ∠STR = 180
∠STR = 180 - 114
∠STR = 66
Also, sides SYT is forms a triangle and the sum of all interior angles of a triangle is 180. Thus:
66 + 31 + ∠SYT = 180
97 + ∠SYT = 180
∠SYT = 180 - 97
∠SYT = 83
But ∠SYT = angle RYV = 83
sides RYV form a triangle and the sum of all interior angles of a triangle is 180
33 + 83 + ∠x = 180
116 + ∠x = 180
∠x = 180 - 116
∠x = 64
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it says find the perimeter of the figure below.
Answer:total perimeter =perimeter of rectangle +perimeter of triangle
=2(5+10)+(5+5+7)
=30+17
=47
Step-by-step explanation:
Ursula interviewed 75 people to see if they liked reading comic books. 15 of the people surveyed were males. 32 females liked comic books, and nine males liked comic books. What is the conditional frequency that a person does not like comic books given that the person is a male?
Answer:
40% or 0.4 (doesn't matter which you put they're the same)
Step-by-step explanation:
60 female
6/15
translate and solve " the difference between two-thirds of a number , n, and eleven is at least 17"
Answer:
[tex] \frac{2}{3} n - 11 \geqslant 17[/tex]
[tex]n \geqslant 42[/tex]
Explanation:
difference equals -
two-thirds equals 2/3
a number n equals variable of n
and 11 equals 11
at least equals _> (but like those together)
For solving equations just use photomath
The solution to the expression is n ≥ 42
What is an Equation ?
An equation, statement of equality between two expressions consisting of variables and/or numbers
An equation is a mathematical expression that contains an equals symbol.
Equations often contain algebra.
Algebra is used in maths when you do not know the exact number in a calculation.
Translating the equation
[tex]\rm \dfrac{2}{3} \;n-11 \geq 17[/tex]
[tex]\rm \;n \geq (17 + 11)\times\dfrac{3}{2}\\\\\\ n \geq 42[/tex]
Therefore the solution to the expression is n ≥ 42
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Helpppppp please look at the picture i added
Ten friends shared a bag of popcorn. Using p to represent the bag of popcorn, which expression represents the amount each friend received? *
1 point
p / 10
10 - p
10p
10 + p
Work out the area of this circle.
Take it to be 3.142 and write down all the digits given by your calculator.
21 cm
Answer:
If the 21 cm is circumference, the answer would be 35.09.
If the 21 cm is radius, the answer would be 1385.44.
If the 21 cm is diameter, the answer would be 346.36.
Which of the following statements about the image below is true
Answer:
It is answer 3
Step-by-step explanation:
Division in a given ratio
In a class of 30 pupils the ratio of the number of boys to the number of girls is 7 : 8. How many girls are there?
Step-by-step explanation:
let the ratio 7:8 be 7x and 8x.
now
7x+8x=30
or, 15x=30
or, x= 30/ 15
or, x= 2
here
no. of boys = 7x= 7*2 = 14
no. of girls= 8x = 8*2= 16
hope this helps u...
Answer:
16 girls
Step-by-step explanation:
sum the parts of the ratio, 7 + 8 = 15 parts
Divide the number of pupils by 15 to find the value of one part of the ratio.
30 ÷ 15 = 2 pupils ← value of 1 part of the ratio, then
8 parts = 8 × 2 = 16 ← number of girls
A father is 28 years older than his daughter. In six years' time, he will be three times her age. Find their present ages.
Please use an algebraic equation to find the answer and show your working out if possible!!
Answer:
8 and 36
Step-by-step explanation:
let the daughter's age be x then father is x + 28
In 6 years their ages are
x + 6 and x + 28 + 6 = x + 34
Father is 3 times her age , then equation is
x + 34 = 3(x + 6) ← distribute
x + 34 = 3x + 18 ( subtract x from both sides )
34 = 2x + 18 ( subtract 18 from both sides )
16 = 2x ( divide both sides by 2 )
8 = x
Daughter's age is 8 and father's age is 8 + 28 = 36
An entrepreneur sold a damage bedspread for $130.50, there by making a loss of 13% on the cost price. Determine the cost price of the bedspread.
Answer:
130.50 X 13% = $16.97
130.50 - 16.97 = 113.53
Answer 113.53
Step-by-step explanation:
what are the roots of: y=x^2+3x-98
Answer:
Step-by-step explanation:
May you please help
Answer:
3) [tex]\frac{9}{15}[/tex]
Step-by-step explanation:
sine = [tex]\frac{opposite}{hypotenuse}[/tex]
sine = [tex]\frac{9}{15}[/tex]
Help meeeee please, I need this pronto, I will award extra points and brainliest
Answer:
532 m ^2
Step-by-step explanation:
18x18 + 1/2x8x 16 + 1/2 x 16 x18
324 + 64+ 144 = 532
Find the cosine of angle E.
A) 39/80
B) 39/89
C) 80/39
D) 80/89
Answer:
B) 39/89
Step-by-step explanation:
With reference angle E
hypotenuse (h) = 89
base (b) = 39
cosine angle E
= b /h
= 39/89
a polygon has 50 sides
all but one of its angle is 170 degrees
what is the size of the other angle?
Answer:
.2 degrees
Step-by-step explanation:
180-170 is 10
10/50 is .2
The size of the other angle will be 0.2 degrees.
What are polynomials?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
It is given that a polygon has 50 sides but one of its angles is 170 degrees.
The remaining angle will be calculated as:-
180-170 = 10
The size of the other angle is calculated below:-
Angle = 10/50
Divide the value 10 by 50 to get the angle.
Angle = 0.2
Therefore, the size of the other angle will be 0.2 degrees.
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Which data set could be represented by the box plot shown below?
Answer:
The answer is C
Step-by-step explanation:
It starts at 25 and then it stops at 38.
I hope this helps!
Answer:
hi
Step-by-step explanation:
There 10 years in one decade Deron he is two decades for years and eight months old his brother John is half as old how old is John
Answer:
John is 12 years and 4 months old !!
Step-by-step explanation:
What is the area of a circle if the diameter is 9cm?
Round to the nearest hundredth (0.01cm2)
Answer: A≈63.62
Step-by-step explanation:
9/2= 4.5
A=πr2=π·4.52≈63.61725
Answer:
To find the area of a circle we have [tex]\pir^{2}[/tex] and the radius is half of the diameter so we have 4.5² which gives 16.25π
How did you compute sums of dollar amounts that were not whole numbers?
Answer:
$7.34
Step-by-step explanation:
To compute sum of dollars that are not whole numbers. Using the sum of$5.89 and$1.45 as an illustration :
$5.89 + $1.45
Taking the whole numbers first:
$5 + $1 = $6
Take the sum of the decimals :
$0.89 + $0.45 = $1.34
Sum initial whole + whole of sum of decimal
$6 + $1 = $7
Remaining decimal : $1.34 - $1 = $0.34
$7 + $0.34 = $7.34
The sum of 3 times a number and another number is 34. Five times the first number minus the other number is 38. What are the two numbers. The numbers are 3 and 11. The numbers are 9 and 7.
Answer:
3+11+9+7
Step-by-step explanation:
You add all the numbers
Your friend uses 2 1/2 ounds of dried fruit and 1/2 pound of raisins to make trail mix.How many 1/2 pound packages can he make.
Answer:
he can make 6 because 2 and 1/2 plus 1/2 = 3 and 3 divided by 2 is 6
Step-by-step explanation:
Round 7.27 to the nearest whole number.
Answer:
Step-by-step explanation:
they right it is 7
A taxi hurries for 1 hour 54min with a constant speed of 93km and then for another 5 hours 15min with a constant speed of 72km. What distance did it go
Speed = 93km /h and 72km/h
Answer: The taxi went a distance of 554.7km
Step-by-step explanation:
Speed = Distance / Time
Distance covered in the first trip = Speed x Time
Time = 1 hour 54 min =1+0.9 hours =1.9hours
=93km / h x 1.9 hours =176.7km
Distance covered in the second trip = Speed x Time
Time = 5 hours 15min = 5+0.25hours =5.25hours
=72km / h x 5.25hours =378 km
Total distance =176.7km+378 km
=554.7km
what is the value of x and y?
Answer:
The right answer is x = 8, y = 40.
Step-by-step explanation:
Since this triangle is isosceles we know that...
∠ACB = ∠ABC
40° = (5x)°
40 = 5x
x = 40 / 5
x = 8
We also know that the sum of all angles inside the triangle is equal to 180°, therefore...
∠BAC = 180° - ∠ACB - ∠ABC
(2y + 20)° = 180° - 40° - 40°
2y + 20 = 100
2y = 100 - 20
2y = 80
y = 80 / 2
y = 40
From this, we know that the right answer is x = 8, y = 40.
Am i correct??????? :::))
Answer:
i think it would be 6/96 not sure tho
Step-by-step explanation:
solve the following equation in substitution method: y=x-2 and x+y=4
Answer:
Step-by-step explanation:
y=x-2
x+(x-2)=4
2x-2=4
2x=6
x=3
A team can spend no more than $300 on shirts. The team has already spent $80. How many shirts for $15 each can they still buy?
Answer:
80 + 15x ≤ 300
Step-by-step explanation:
max amount = $300
already spent = $80
$300 - 80 = $220
shirts = $15 each
80 + 15x ≤ 300
$80 that is already spent + $15x ≤ $300 maximum
x = number of shirts
what is the area of the trapezoid?
Answer:
A=a+b
2h=10+20
2·6=90
Step-by-step explanation:
HAVE A GREAT DAY
Please help will give brainliest