Given:
A figure ABCP.
To find:
The measure of CP.
Solution:
In triangles ABP and CBP,
[tex]\angle PAB\cong \angle PCB[/tex] (Given right angles)
[tex]\angle ABP\cong \angle CBP[/tex] (Given)
[tex]BP=BP[/tex] (Common side)
Now,
[tex]\Delta ABP\cong \Delta CBP[/tex] (By AAS property of congruence)
We know that the corresponding parts of congruent triangles are congruent.
[tex]AP=CP[/tex]
[tex]8=CP[/tex]
Therefore, the measure of CP is 8 units.
In WXY, w=130 inches, x=270 inches and y =190 inches. Find the area of WXY to the nearest square inch
Answer:
11304
Step-by-step explanation:
Delta math
-16(d+1)=20
what does d equal
CORRECT answers ONLY please
Answer:
-1.3125
Step-by-step explanation:
-16(d+1) = 20
-16d - 1 = 20
+1 +1
-16d = 21
d = -1.3125
or -1.3
A home was purchased in 1985 for $125,000. If the value of the home increased 2.5% each year, what would be the value of the house by 2025? Round to the nearest whole number.
Answer: $335,633
Step-by-step explanation:
First find the number of years difference:
= 2025 - 1985
= 40 years
Use the compound interest formula to find the answer:
= Value * ( 1 + rate) ^ no. of years
= 125,000 * ( 1 + 2.5%)⁴⁰
= $335,633
Hiiooo can someone please help me with this ❤️
Answer:
3.2
Step-by-step explanation:
ABCD and JKLM are similar. To find the x, first find the ratio for all of the sides.
AD and JM are similar --> 2.4 / 3 = 0.8
BC and KL are similar --> 4 / 5 = 0.8
DC and ML are similar --> 2.4 / 3 = 0.8
AB and JK are similar --> 4 × 0.8 = 3.2
Hope this helps, thank you :) !!
Which is equivalent toStartRoot 10 EndRoot Superscript three-fourths x ?
Answer:
D
Step-by-step explanation:
D
D
D
D
D
D
D
Answer:
D
Step-by-step explanation:
A family consumes 30 kg of sugar in 15 days. how much sugar will consumed in 275
Answer:
550 kg
Step-by-step explanation:
if if we get 30 day as in a month show the sugar will be consumed equals to 2 kg per day soooo if there is 275 days x 2 kg equals to 550 kg sugar consumed by them
Answer:550 kg
Step-by-step explanation: 30 day as in a month show the sugar will be consumed equals to 2 kg per day so if there is 275 days x 2 kg equals to 550 kg sugar consumed by them.
i think sorry if its worng
Which function is linear
A. F(x) = |3x| + 4
B. F(x) = 1/3x + 4
C. F(x) = 3x - 4
D. F(x) = |3x| - 4
Answer:
D. F(x) = |3x| - 4
Step-by-step explanation:
2 1/4 times 2 1/2
SHOW YOUR WORK!!!
Answer:
45/8 or 5 5/8
Step-by-step explanation:
2 1/4. 2 times 4 is 8 plus 1 is 9 (9 over 4 (9/4)). 2 1/2. 2 times 2 is 4 plus one is 5. (5 over 8 (5/2)). 9/4 x 5/2. 9 times 5 is 45, 4 times 2 is 8. you get the improper fraction 45/8. 45 simplified is 5 5/8. hope i helped.
Answer:
45/8 or 5 5/8
Step-by-step explanation:
When multiplying fractions, it ALWAYS so much easier to make them into improper fractions (for me at least). When doing this, multiply the denominator to the whole number and add the numerator and keep the denominator the same. So, for 2 1/4, you could use the equation 2(4) + 1 = x/4. You should get 9/4. Doing this for the other mixed fraction, you get 5/2.
Multiplying fractions is pretty straightforward after that. You don't have to change the denominators to match each other like you do when adding, instead you just multiply straight across. Multiply both of the numerators and then the denominators.
Numerators: 9 x 5 = 45
Denominators: 4 x 2 = 8
So, you get 45/8. If you're wanting a mixed number fraction, just divide 45 by 8. 8 goes into 40 5 times, and you get a left over number 5. Therefore, as a mixed fraction you get 5 5/8.
I don't know how you wanted me to show my work, but I tried the best I could to explain.
What is the area of this parallelogram?
A. 28 m²
B. 56 m²
C. 84 m²
D. 120 m²
PLS HELP I'LL GIVE BRAINLYIST
Answer:
84m^2 or C
Step-by-step explanation:
area = base * height
= 12 * 7 = 84
Answer:
8 + 4 = 12 x 7 = 84m
which numeration system is also known as 10 base numeration system
Answer:
decimal system
..........
PLEASE HELP MEEEEEE!!!!!
I literally have to get this done
Help. Will give brainliest
Answer:
67.9
Step-by-step explanation:
The polygon has 6 sides.
Sum if interior angles = (n-2)180
=(6-2)180
= 4 x 180
= 720
A + B + C + D + E + F = 720
x+40 + 2x-9 + 2x + 2x + x + x+78 = 720
9x + 109 = 720
9x = 720-109
9x = 611
x = 611/9
x = 67.9
If a system of linear equations has no solution, then ______.
Answer:
Answer. Answer: A system of linear equation has no solution when the graphs are parallel.Step-by-step explanation:
What is the surface area
Answer:
red) area = 59.2 km²
Step-by-step explanation:
area of bottom 4 x 4 = 16
area of 4 sides = 4 (1/2)(4)(5.4) = 43.2
16 + 432 = 59.2 km²
Answer:
Step-by-step explanation:
lateral area = 2(base)(slant height) = 2·4·2 = 16 km²
base area = base² = 4² = 16 km²
surface area = 16 + 16 = 32 km²
I need this for today someone can help me!!!
Libby earns $10 each hour for babysitting. Let m = the money she earns, and t = the time in hours she is babysitting. What equation represents this proportional relationship?
Answer:
$10t=m
Step-by-step explanation:
If for each hour is $10.
She would earn the number of hours times $10.
Example: She did babysitting for 4 hours this weekend. The equation is $10(4)=m or $10 x 4 = m. m=40
help please need answers
Answer:
slope: 2/3 or 0.6666...
Step-by-step explanation:
find two points on the line : (1,2) and (0,-2) and do rise over run. Rise = 2 and Run = 3, so you put it in rise over run form. Rise/Run = 2/3. The graph is positive.
Rapid Rental Car charges a $55 rental fee, $20 for gas, and $0.65 per mile driven. For the same car, Capital Cars charges $55 for rental and gas and $0.75 per mile.
Answer:
200 miles
Step-by-step explanation:
Given data
Rapid Rental Car
charges a $55 rental fee
$20 for gas, and
$0.65 per mile driven
let the number of miles be x, the total charges y
y=55+20+0.65x
y= 75+0.65x----------1
Capital Cars
charges $55 for rental and gas and
$0.75 per mile.
let the number of miles be x, the total charges y
y=55+0.75x
y= 55+0.75x----------2
Required
The number of miles driven before the two Rental companies charge the same amount
equate 1 and 2
75+0.65x= 55+0.75x
collect like terms
75-55= 0.75x-0.65x
20= 0.1x
x= 20/0.1
x= 200miles
Hence the distance will be 200 miles for the charges to be the same
URGENT HELP WANTED FAST!!! DUD
Answer:
N
P
J
B
A
I
L
E
G
H
O
M
C
D
K
A
Step-by-step explanation:
simple addition subtraction,in terms of a alone then b them the number
(3x+3)^2+(x+5)(x-4)
someone help thankyou
Find the value of x. in the below given diagram.
Answer:5,8
Step-by-step explanation:
x^2= 3^2 + 5^2
x^2= 9 + 25
x^2= 34
x = (square root)34
x= 5,8
Answer:
x = [tex]\sqrt{34}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 5² + 3² = 25 + 9 = 34 ( take the square root of both sides )
x = [tex]\sqrt{34}[/tex] ← exact value
x ≈ 5.83 ( to 2 dec. places )
I WILL GIVE BRAINLIST
In the diagram below, ∠1
and ∠2
are complementary. If the measure of ∠1
is 25°, what is the measure of ∠3 ?
A
65°
B
115°
C
155°
D
105°
Can someone help me. Will Mark brainliest.
Answer:
The answer is 50.
Hope this helps. sry if it is wrong
A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.
-9x-8y= 41
-9x-2y=71
Answer:
I think it is add to eliminate x
Answer:
Step-by-step explanation:
-½ (6x + 4) + ½(8x - 2)
Answer:
-3x - 2 + 4x - 1 = x - 3
Step-by-step explanation:
open brackets and simplify
Answer:
x−3
Step-by-step explanation:
Hope this helps.
The expression 0.75 + 0.15c can be used to find Mr. Thompson's cost for making c cookies. How much does it cost mr. Thompson to make 45 cookies?
Jessica sold girl scout cokies she sold 26 boxes.How many cases of 12 plus extra boxes does she need.
Answer:
Jessica needs 2 cases of 12 girls scout cookies plus 2 extra boxes
Step-by-step explanation:
Number of boxes sold = 26
Cases of 12 plus extra boxes needed
Number of cases of 12 needed :
Number of boxes sold / 12
= 26 /12
= 2 remainder 2
Hence, Jessica needs 2 cases of 12 girls scout cookies plus 2 extra boxes
Explain why the product of a non-0 rational number and an irrational number is irrational?
Answer:
An irrational number is a number that can not be written as the quotient of two integer numbers.
Then if we have:
A = a rational number
B = a irrational number.
Then we can write:
A = x/y
Then the product of A and B can be written as:
A*B = (x/y)*B
Now, let's assume that this product is a rational number, then the product can be written as the quotient between two integer numbers.
(x/y)*B = (m/n)
If we isolate B, we get:
B = (m/n)*(y/x)
We can rewrite this as:
B = (m*y)/(n*x)
Where m, n, y, and x are integer numbers, then:
m*y is an integer
n*x is an integer.
Then B can be written as the quotient of two integer numbers, but this contradicts the initial hypothesis where we assumed that B was an irrational number.
Then the product of an irrational number and a rational number different than zero is always an irrational number.
We need to add the fact that the rational number is different than zero because if:
B is an irrational number
And we multiply it by zero, we get:
B*0 = 0
Then the product of an irrational number and zero is zero, which is a rational number.
2. Y - 3 = X + 2
2X - 1 = Y
Show your work
loook below giving brainliest