since we know the triangles are similar, that means we can use the corresponding sides of each for proportions
[tex]\cfrac{TU}{QR}=\cfrac{UV}{RS}\implies \cfrac{x+5}{24}=\cfrac{36}{54}\implies \cfrac{x+5}{24}=\cfrac{2}{3}\implies 3x+15=48 \\\\\\ 3x=33\implies x=\cfrac{33}{3}\implies x = 11[/tex]
now, the picture is a bit misleading, why did we pick so?
well, one triangle is named QRS, sides QR, RS and SQ
the other triangle is named TUV, sides TU, UV and VT
so you can see which side correspond with the other.
Need answer important pleases
Answer:
D {50, 150}
Step-by-step explanation:
Hope this solve your answer
two numbers less than 8 that
have 3 as their GCF
Answer:
3 and 6
Step-by-step explanation:
GCF's or greatest common factors of numbers 1 to 8
1 : 1
2 : 1, 2
3: 1 , 3
4 : 1, 2, 4
5 : 1, 5
6 : 1, 2, 3, 6
7 : 1, 7
8 : 1, 2, 4, 8
3 and 6 have 3 as their GCF
Answer:
2#8?+76++887
Step-by-step explanation:
GCF < 2 : 2 and 7, 12 and 13GCF = 2 : 2 and 6GCF = 3 : 3 and 6GCF > 3 : 4 and 12, 6 and 18Step-by-step explanation:The greatest common Factor (GCF) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.(a) 2 and 7: Both 2 and 7 are prime numbers, therefore the GCF of 2 and 7 is 1 which is less than 2.(b) 2 and 6: Both 2 and 6 are even numbers, therefore the GCF of 2 and 6 is 2.(c) 4 and 12: Both 4 and 12 are even numbers and multiple of 4, therefore the GCF of 4 and 12 is 4 which is greater than 3.(d) 12 and 13: 13 is a prime number, therefore the GCF of 12 and 13 is 1 which is less than 2.(e) 6 and 18: Both 6 and 18 are even numbers and multiple of 6, therefore the GCF of 6 and 18 is 6 which is greater than 2 and greater than 3.(f) 3 and 6: Both are multiple of 3, therefore the GCF of 3 and 6 is 3.
how do you graph 3x= -135
Answer:
see below
Step-by-step explanation:
first isolate x
3x = -135
divide both sides by 3
3x/3 = x
-135/3 = -45
x = -45
we can then graph it
x is gonna be equal to -45
so draw a point on the x intercept at -45 and draw a vertical line going up and down
it should look like the graph shown below
Answer:
You would graph a vertical line at (-49, 0)
Step-by-step explanation:
3x = -135
Divide both sides by 3
x = -45
You would graph a vertical line at (-49, 0)
P.S., that system acts strange sometimes so be sure to only do one square up once you press -45. :)
Daniel is selecting a sock from his drawer at random. If Daniel does this 60 times, what is a reasonable prediction for the number of times he will get a striped sock?
Giving brainlist!
help.. me pleaseeeee
Answer:
the yellow one
Step-by-step explanation:
because it is less and is this scientific notation
12. Suppose U= {1, 2, 3, 4, 5, 6, 7, 8} is the universal set and P= {1, 2, 3, 4]. What is P'? (1 point)
O {5, 6, 7, 8}
O {1, 2, 3, 4, 5, 6, 7, 8}
O {1, 2, 3, 4}
O cannot be determined
Answer:
o {5, 6, 7, 8}
Step-by-step explanation:
To find P'
P' = U - P
P' = {1, 2, 3, 4, 5, 6, 7, 8} - {1, 2, 3, 4}
P' = {5, 6, 7, 8} ANS.
PLEASE HELP ME!! A section of a highway is constructed with a 23% grade. What angle does the highway make with a horizontal line? Round to the nearest hundredth of a degree.
m∠A ≈ 12.95°
m∠A ≈ 77.05°
m∠A ≈ 14.95°
m∠A ≈ 87.05°
The angle that make highway with a horizontal line is 12.95°.
What Horizontal line ?Horizontal line is type of straight line that goes from to the left to right or right to thd left. In co-ordinate geometry, a line is said to be the horizontal if two points are on the line have the to same Y- coordinate points. It's comes from the terms “horizon”. It means that this horizontal lines are always in the parallel to the horizon or to the x-axis.
Section of highway is constructed with 23% grade.
So, y= 1
And x= 4-35
For grade 23% = angle
= tan-1(y/x)
= tan-1(1/4.35)
= 12.95°
To know more about horizontal line click-
https://brainly.com/question/25081736
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Fill in the table (imagine provided)
the formula is 30 + 15x = total wight
x = n of steel balls
3 balls = 75
5 = 105
7 = 135
10 = 180
find the x-intercept and the y-intercept of 2x + 6y =24
Answer:
x-intercept = 12, y-intercept = 4
Step-by-step explanation:
To find the x and y intercept, substitute 0 in for both values.
Substitute 0 into x:
2(0) + 6y = 24
6y = 24
Divide each side by 6:
y = 4
Substitute 0 into y:
2x + 6(0) = 24
2x = 24
Divide each side by 2:
x = 12
What is the inverse of the function f(x) = -6x - 7
Answer:
f - 1 (x) = - x6 - 76
Step-by-step explanation:
Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=−x6−76 f - 1 ( x ) = - x 6 - 7 6 is the inverse of f(x)=−6x−7 f ( x ) = - 6 x - 7 .
4.) On a road map, the distance from Atlanta to Chicago is 23.5 inches. What is the actual distance
between the cities if the map scale is 1/2 inches = 20 miles?
a
940 miles
b.
470 miles
v
235 miles
Answer:
940 miles
Step-by-step explanation:
Set up a ratio
23.5 in/x = 0.5in/20mi
Cross multiply
23.5 * 20 = 0.5 * x
470 = 0.5x
940 = x
Caty bought a new pair of shoes for $54. If the shoes had a discount of 15%, how much were the shoes with the discount?
Answer:
$45.9
Step-by-step explanation:
$54 × 0.15 = $8.1 <-- because it is a discount, we will subtract this amount
$54 − $8.1 = $45.9
HELPPP
You can use the recursion In
Xn=(xn-1+10/xn-1)/2
the process of iteration to estimate the value of
V10 without using a calculator. What is the value
of the 2nd iterate if 20 = 3.1? Carry out your
answers to the 5th decimal place.
Answer:
3.16228
Step-by-step explanation:
I took the exam and got it right :)
Using the graph, the x-intercept is
and the y-intercept is
Answer:
x-int: x = 4 (4,0)
y-int: y = 2 (0,2)
Step-by-step explanation:
The x-axis is the horizontal line. The y-axis is the vertical line. Coordinate points are (x,y).
Just count from the origin which is the centre (0,0). Where the line crosses/intercepts the x and/or y-axis is called the intercept.
Find n(A) for the set.
A = {200, 201, 202, . . ., 2000}
Select one:
a. n(A) = 1801
b. n(A) = 4
c. n(A) = 1800
d. n(A) = 2000
Answer:
b.n(A)=1800
Step-by-step explanation:
b.n(A)=1800
can you please help me
15 plus 15 equals 30..hope this helps
Luis makes $23. 10 per hour at his job for the first 40 hours he works each week. If he works more than 40 hours, then Luis makes $34. 65 per hour. If Luis works 46 hours in one week, how much does he earn? a. $1,062. 60 b. $1,097. 25 c. $1,131. 90 d. $1,593. 90 Please select the best answer from the choices provided A B C D.
Answer:
No: d (1593.90)
Step-by-step explanation:
Here,
Income per an hour= 34.65
Now
Income for 46 hours= 34.65× 46
=1593.9
LMNP is a rectangle. Find the value of x and the length of each diagonal. LN=13x-10 and MP=9x+9
Answer:
the diagonals of a rectangle are equal in
in length so. LN=MP
13x -10=9x+9
13x-9x=9+10
4x=19
x=19/4
9x-3y=12
Put the following equation of a line into slope-intercept form, simplifying all fractions
Work out surface area please
Answer:
594 cmStep-by-step explanation:
We know that:
Surface area of prism = Area of rectangle + Area of triangleSolution:
Surface area of prism = (30 x 17) + (1/2 x 21 x 8)=> Surface area of prism = (510) + (21 x 4)=> Surface area of prism = (510) + (84)=> Surface area of prism = 594 cmHence, the surface area of the prism is 594 cm.
A stray dog ate 21 of your muffins. That was 7/10 of all of them! With how many did you start with?
A) 30
B) 25
C) 28
D) 14.7
Answer:
Your answer is A
Step-by-step explanation:
The reason is because 1/10 is 3 muffins so if it was 7/10 it would be 21 8/10 is 24 and 9/10 is 27 and 10/10 is 30 muffins
Answer: The answer is 30
Step-by-step explanation:
You do 21 x 10 and the answer is on top of 7: 120/7
Then do 120 divided by seven and there is your answer.
Identify a zero of the function !
What is the area of the space that Nadia has shown for scrapbooking?
Answer
98ft
Step-by-step explanation:
you multiply the lengths and widths of each shape and then add them all up
Which of the following statements are true? Select all that apply.
S
8
A. pll gif 22 = 23.
B. pll gif 25 = 27.
Crilsif : 2 = 24
D. Tils if 25 = 26.
A is correct
Step-by-step explanation:
pll hif 22=23 UT welcome
NEED HELP WILL GIVE BRAINLIEST
Area of circle with radius OP is ______ cm^2
Area of circle with radius AD is ________ cm^2
Area of circle with radius BC is _________ cm^2
Area of the shaded region is __________ cm^2
Circumference of the circle with center B is ________ cm
Give you answer as a completely simplified exact value in terms of pi
Area of Circle having radius OP = 4 cm: 50.27 cm²
Area of Circle having radius AD = 1 cm: 3.14 cm²
Area of Circle having radius BC = 2 cm: 12.57 cm²
Area of the shaded region: 34.56 cm²
Circumference of the circle with center B: 12.57 cm
Area and Circumference of a CircleArea = πr²
Circumference = 2πr, where r = radius.
Area of Circle having radius OP = 4 cm:
Area = π(4)² = 50.27 cm²
Area of Circle having radius AD = 1 cm:
Area = π(1)² = 3.14 cm²
Area of Circle having radius BC = 2 cm:
Area = π(2)² = 12.57 cm²
Area of the shaded region:
Area = 50.27 - (3.14 + 12.57)
Area = 34.56 cm²
Circumference of the circle with center B, having radius of 2 cm:
Circumference = 2π(2) = 12.57 cm
Learn more about area and circumference of circle on:
https://brainly.com/question/402655
What is the value of P and Q? in the diagram Below? 45 degrees 45 degrees 8
If you can help me I love you
Answer:
Building height = 48 feet.
Process :-
the man and the building are casting shadow at same time so the they both are getting sunlight at the same angle.
Let's suppose height of the building as x.
we get,
x/72 = 6/9
or, 9x = 432
so, x = 48
Which is the most accurate way to estimate 68% of 23?
Answer:
The most accurate way to estimate 68% of 23 is to convert the percentage to a fraction first and then multiply it with the number.
=(68/100)*23 = 15.64
Step-by-step explanation:
y is 9 times as many as 4.
Answer:
36
Step-by-step explanation:
Basically it is = 9 x 4
Multiply the numbers
= 9 ⋅ 4
= 36
Solution = 36
aka
y = 36
what's the value of x?
sorry for the weird marks but please help
Answer:
the answer is 8.902 i don't know if you need to round