Answer:
[tex]ZX = 4cm[/tex]
Step-by-step explanation:
Given
[tex]\triangle PQR[/tex] similar to [tex]\triangle XYZ[/tex]
[tex]PQ = \frac{1}{2}XY[/tex]
[tex]RP = 2cm[/tex]
Required
Find ZX
[tex]\triangle PQR[/tex] similar to [tex]\triangle XYZ[/tex] implies that, the following sides are similar
[tex]PQ \to XY[/tex]
[tex]QR \to YZ[/tex]
[tex]RP \to ZX[/tex]
To find ZX, we make use of the following equivalent ratio
[tex]PQ : XY = RP : ZX[/tex]
Where
[tex]PQ = \frac{1}{2}XY[/tex]
[tex]RP = 2cm[/tex]
So, we have:
[tex]\frac{1}{2}XY : XY = 2cm : ZX[/tex]
Express as fraction
[tex]\frac{\frac{1}{2}XY }{ XY }= \frac{2cm }{ ZX}[/tex]
[tex]\frac{1}{2}= \frac{2cm }{ ZX}[/tex]
Make ZX the subject
[tex]ZX = 2 * 2cm[/tex]
[tex]ZX = 4cm[/tex]
A woman sold an article for 20.00cedis and made a profit of 25%.Find the cost price of the article.
Answer:
The cost price = GHc 16.00
Step-by-step explanation:
Selling price = GHC 20.00
Profit Percent = 25%
Cost price = ?
Formula for finding cost price =
[tex] \frac{100}{100 + profit \: percent} \times selling \: price[/tex]
Let's insert the numbers
[tex] \frac{100}{100 + 25} \times 20 \\ = \frac{100}{125} \times 20 \\ = \frac{4}{5} \times 20 \\ = \frac{4 \times 20}{5} \\ = \frac{80}{5} \\ = 16[/tex]
So therefore ; the cost price is GHC 16.00
If you fail two semesters will you be held back?
umm...... No because 1 haven't give any semester
I really need help with this problem
Answer:
Measure of angle K is 52.5 degrees
Step-by-step explanation:
Here, we have a case of two sides being congruent
mathematically when two sides are congruent, then we have an isosceles triangle
For an isosceles triangle, the base angles are equal
LM faces K , while M faces KL
What this mean is that L faces KM
From above, we can see that K = M = ?
Let us call this x
Mathematically, the sum of angles in a triangle is 180 degrees
75 + x + x = 180
2x = 180-75
2x = 105
x = 105/2
x = 52.5
round the whole number 21,908 to the nearest thousands place
Answer:21,908 is 22,000 to the nearest thousand. the digits after the 1 of 21 is 9. So we round up
Find the dilated coordinates with the centre of (0,2) and scale factor of 3 for the point D(2, 2).
i neeeddd this pleaseee and thank u
Answer:
(6, 2)
Step-by-step explanation:
xD' = (0-0) + (3×2) = 0+6 = 6
yD' = (2-0) + (3×0) = 2+0 = 2
the dilated coordinate D' (6, 2)
Answer:
6 and 2 pls answer my questions plss
Which of the following sets of points is a direct variation?
(0, 0); (-1, -2); (1, 2)
(0, 0); (2, 4); (5, 15)
(3,6); (-2, 4); (-1,2)
(0,5); (1, 6); (2,7)
There are 2 gold coins and 45 silver coins in Wyatt's coin collection. What is the ratio of the number of gold coins to the number of silver coins?
Answer:
2:45
Step-by-step explanation:
2:45
Thank you everyone for helping me this year to get good grades I am giving points.
What is the measure of ACB in O below?
Answer:
A
Step-by-step explanation:
The central angle is equal to the arc that subtends it , then
arc AB = 30°
arc ACB = 360° - 30° = 330° → A
answer choices:
a. 66
b. 53
c. 87
d. 73
What is the explicit formula for this sequence?
-7, -4, -1, 2, 5, …
Answer:
y = 3x -7?
Step-by-step explanation:
started from 7 and going infinite
Which is the axis of symmetry of a parabola with equation y? --8x?
O y = -2
O y = 0
0 x = 0
O x = 2
Help Me please!!!!! Rn
Answer:
20 degrees
Step-by-step explanation:
The sum of inner angles of a triangle is 180 degrees
120 + 40 + x = 180
160 + x = 180
x = 20
Answer:
A + 120 + 40 = 180 (interior angles of a triangle equal to 180°)
A = 180-120-40
A = 20°
A shirt originally $38.00 is on sale for 25% off. What is the discounted price?
Step-by-step explanation:
$ 28.50
minus $ 0.00
FINAL Price » $ 28.50
Note: Sales Tax Not Included
Savings » $ 9.50
Effective % Off » 25%
Answer:
$28.5
Step-by-step explanation:
100% - 25% = 75% (so you don't have to add or subtract anything)
38 * .75 = 28.5
=$28.5
4 - (x + 1) = 6
Someone please help :^:
Hope this helps please mark me brainliest
Answer:
x = -3
5.88 pts
> A statue of George Washington is in Druid Hill Park. Elliot stands 16 ft away from the
statue, and places a mirror 12 ft from the statue (4 ft from his feet). He can see the
top of the statue in the mirror. If Elliot's height is 6 ft. How tall is the statue?
O 2 ft
O 18 ft
0 24 ft
O 8 ft
Answer:
18 ft
Step-by-step explanation:
Similar triangles are proportional
Ratio of vertical legs = Ratio of base legs
x/6 = 12/4
multiply both sides by
x = 12/4 * 6
x = 18 ft
HELP NEEDED!! Find the sine of W
Answer:
[tex]\frac{\sqrt{47}}{10}[/tex]
Step-by-step explanation:
First you find the missing side using the Pythagorean theorem of [tex]a^{2} +b^{2} =c^{2}[/tex].
Which is [tex](\sqrt{53})^{2} + b^{2} = 10^{2}[/tex].
do the squares to make it 53 + [tex]b^{2}[/tex] = 100 and solve for b.
[tex]b^{2} = 100-53\\b^{2} = 47\\b= \sqrt{47}[/tex]
Sine of an angle is Opposite over Hypotenuse to get
[tex]\frac{\sqrt{47} }{10}[/tex]
What do you get when you subtract-3xy from 5xy
Answer:
8xy
Step-by-step explanation:
(5xy)-(-3xy)= 5xy+3xy=8xy
Why:
Well if you have 5 of that something and get 3 more of that something you have 8 of that something.
Answer:
8xy
Step-by-step explanation:
5xy--3xy
a - and a - equal a +, so it's 5xy+3xy, which equels 8xy.
Solve for X answer as a whole number
Step-by-step explanation:
[tex] {a}^{2} = {4}^{2} + {2}^{2} \\ {a}^{2} = 16 + 4 \\ {a}^{2} = 20 \\ a= \sqrt{20} \\ {x}^{2} = {( \sqrt{20} )}^{2} + {3}^{2} \\ {x}^{2} = 20 + 9 \\ {x}^{2} = 29 \\ x = 5.385[/tex]
as a whole number = 5
Find the area of the polygon . :)
Answer:
41 square units
Step-by-step explanation:
this polygon can be split into several sub-shapes, for which we can calculate their areas much easier. and then we simply add all the sub-results for the total result.
for me this split would be
1. square CDEF, with F being an additional point at (6,5) : 4 units to the right of C.
2. a right-angled triangle ABF (the same F as for 1.).
the area of a square is the square of a side length.
the side length in 1. is 4.
so, its area is 4×4 = 16 square units.
the area of a right-angled triangle is
a×b/2
with a and b being the sides enclosing the 90 degree angle.
in our case here a = BF = 10, b = FA = 5
so the area of the triangle is 10×5/2 = 25 square units.
so, the total area is 16 + 25 = 41 square units.
Simplify (2x^2 + 4x) - (7x - 3x^2 + 5)
Answer:
5x^2 - 3x -5
Step-by-step explanation:
You simplify the like terms
Remember to use distributive property to do the (7x-3x^2+5) part
As an estimation we are told £3 is €4.
Convert £33 to euros.
Answer:
44 euros
Step-by-step explanation:
if the ratio between an english pound and a euro is 3 to 4 respectivley, the ratios will hold true for any number. Since 33/3 = 11, we can stratigically multiply by 1,
3/4 = (3/4)(11/11)
so the ratios would be the same, multiplying, you would get 33/44, which means 33 pounds for 44 euros
X+y=0
x-y+2=0
Help, also write on paper please? I wanna learn how to do this
Step-by-step explanation:
Y=x
Y=x+2
Plot graph but not up to scale just for u to understand
What’s the least number of faces a polyhedron can have? And why?
Answer:
The minimum number of faces a polyhedron can have is 4 faces.
Step-by-step explanation:
We know that a polyhedron is a shape surrounded by polygons. We also know that we need at least 3 sides to make a polygon. So, at the minimum a polyhedron can be made by using only triangular faces but in order to make a closed figure we need at least four triangular faces (which is a tetrahedron).
Una máquina de bolas de chicle tiene 23 chicles verdes, 52 chicles rojos, 34 chicles azules, 61 chicles amarillos y 30 chicles rosas. ¿Qué porcentaje de los chicles son rojos?
Answer:
creo que es 96%
Step-by-step explanation: sume todo los chiles excepto los chiles rojos y luego con la suma de todos los chiles los reste con los chiles rojos.
Find the mean of the data.
The number of trophies won by
each team in the district.
1, 3, 1, 5, 7, 8, 10
Mean: [? ] trophies
Answer:
5
Step-by-step explanation:
Thank you please shwo your work if you can<3 !!!!
x=
y=
Answer:
x = 2, y = - 1
Step-by-step explanation:
Given the 2 equations
y = - 7x + 13 → (1)
y = - 1 → (2)
Substitute y = - 7x + 13 into (2)
- 7x + 13 = - 1 ( subtract 13 from both sides )
- 7x = - 14 ( divide both sides by - 7 )
x = 2
y = - 1 is already given in (2)
Then x = 2, y = - 1
URGENT PLS HELP!!!
Work out the value of 3x + 5y
when x = -5 and y = 5
Answer:
10
Step-by-step explanation:
3x + 5y
Let x= -5 and y =5
3(-5) + 5(5)
Multiply first
-15 +25
Then add
10
The LCM of three numbers is 360 and the GCD of the same numbers is 2.If one of the numbers is 40.Find the other 2 numbers
Answer
“The LCM of three numbers is 360“ The prime factors of 360 are 2³×3²×5¹. That means:
At least one of the numbers contains 2³ in its factorization list.
At least one of the numbers contains 3² in its factorization list.
At least one of the numbers contains 5 in its factorization list.
“One of the numbers is 40“ The factorization list of 40 is 2³×5, so 1) and 3) are satisfied.
“The GCD of the same numbers is 2“ This implies that all 3 numbers are even, and that at least one number only has one 2.
The candidates for the 2nd number, that has 3², are: 18, 12, 72 (3²×2³), 120, 180, or 360.
The candidates for the 3rd number depends on how many 2s the 2nd number has.
If more than one: 2, 6, 18, 10, 30, 90
If only 1, those plus 4, 8, 12, 36, 72, 20, 40, 120, 180, 360
10th Grade Mathematics Assessment SU
Question 3
A family wants to purchase a new refrigerator, but they need to determine the volume before they buy it. What is volume of the refrigerator?
4 ft
3 ft
1
2 ft
4 ft