Answer:
y=5
Step-by-step explanation:
Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
WY is the perpendicular bisector of XZ.
2x + 3 = 3x - 5
x = 8
5y - 2y = 7 + 8
y = 5
The value of y is 5
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
WY is the perpendicular bisector of XZ.
We see that,
2x + 3 = 3x - 5
3x - 2x = 3 + 5
x = 8
Now,
We have two right triangles.
∠WXY
WY² = WX² + XY² _____(1)
∠WYZ
WY² = WZ² + YZ² ______(2)
From (1) and (2) we get,
WX² + XY² = WZ² + YZ²
(2y + 7)² + (2x + 3)² = (5y - 8)² + (2x + 3)²
(2y + 7)² = (5y - 8)²
2y + 7 = 5y - 8
5y - 2y = 7 + 8
3y = 15
y = 5
Thus,
The value of y is 5
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
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Which part of a cake remains if x/y has been eaten?
I need help with this please!!
Answer:
The answer is Point A is equal to (8,0) and Point B is (26,-20) and point C would be (16,-16) and point D would be (8,-30)
Step-by-step explanation:
find the value of "y" log(4y+1)=log(y-7)-2log2
Answer:
y = -8/15
Step-by-step explanation:
log (4y + 1) = log (y - 7) - 2log2
log (4y + 1) = log (y - 7) - log2² (power law)
log (4y + 1) = log [(y - 7)/4]
4y + 1 = (y - 7)/4 (remove log)
4(4y + 1) = y - 7
16y - y = -8
15y = -8
y = -8/15
Find the volume of the prism.
Answer:
792
Step-by-step explanation:
mark me brainliest!
12*11*6=792
v=l*w*h
*= times
PLEASE HELP ME WITH MY MATHS HOMEWORK BELOW
if you answer it correctly i will rate you 5 stars and brainiest
Answer:
a) 52%
b) 7
Step-by-step explanation:
Total no of grids = 25
Shaded grids = 13
[tex]a) \\Percent \; of \: Shaded\: grids = \frac{13}{25} \times 100 = 13\times 4 = 52\%\\\\b)\\80\% \: of \: 25 =0.80\times 25 = 20\\No \; of \: squares\: more\: than \: 13 = 20 - 13 = 7[/tex]
Brandon purchased a new guitar in 2012. The value of his guitar, t years after he bought it, can be modeled by the function A(t)=145(0.95)t.
Drag and drop the answer to the boxes below to complete the sentence.
145, 0.95
a decrease of, an increase of
5%, 45%, 95%
The rate of change in the value of the guitar is modeled by _____, which represents _____________ ______ per year.
Answer: The rate of change in the value of the guitar is modeled by 0.95, which represents a decrease of 5% per year.
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential decay function:
A = P (1 - r) t
Where:
p = original price
r = decrease rate (decimal form)
t= years
A = price after t years
Replacing with the values given:
A(t)=145(0.95)t.
Where
0.95 = 1-r
0.95-1 = r
-0.05 =-r
0.05 =r
Converting to percentage form:
0.05 x 100 = 5%
Feel free to ask for more if needed or if you did not understand something.
Daily Brainliest #1 - Needs to be correct / First correct person to answer simple explanation gets today's brainliest
(2+5)×(8+5)
Answer:
91
Step-by-step explanation:
(2 + 5)(8 +5)
2 + 5 = 7
8 + 5 = 13
7 * 13 = 91
Help me please show me how u got your answer PLZ and Thank You!!
Answer:
1/3 I think I am not sure tho.
btw I know st math I used to do that to! LOL!
Step-by-step explanation:
If I am please mark me BRAINLIEST!
if 11x+5y = 9
11x +3y=1
.
[tex]the \: value \: of \: x \: is \: - 1. \\ the \: value \: of \: y \: is \: 4 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
Solve the following inequality. Then place the correct answer in the box provided. Answer in terms of a mixed number.
2(P +1) + 3(P + 2 ) > 2
Answer: [tex]-1\frac{1}{5}[/tex]
Step-by-step explanation:
[tex]2(P +1) + 3(P + 2 ) > 2[/tex]
Distribute 2 and 3
[tex]2P+2+3P+6>2[/tex]
Combine like terms;
[tex]5P+8>2[/tex]
Subtract 8
[tex]5P>2-8[/tex]
[tex]5P>-6[/tex]
Divide by 5
[tex]P>-\frac{6}{5}[/tex]
Convert to a mixed number by dividing. However, when we have the numerator greater than the denominator, we must find a way to make the numerator lower. We can achieve this by separating it into 2 fractions.
[tex]-\frac{6}{5}=-\frac{5}{5}-\frac{1}{5}[/tex]
When we do this, we can see that 5/5 = 1
[tex]-1-\frac{1}{5}=-1\frac{1}{5}[/tex]
Consider the two triangles.
Triangles W U V and X Z Y are shown. Angles V U W and Y X Z are congruent. Angles U W V and X Z Y are congruent. Angles U V W and Z Y X are congruent. The length of side V W is 60 and the length of side Z Y is 48. The length of side Y X is 40 and the length of V U is 50. The length of side U W is 40 and the length of X Z is 32.
How can the triangles be proven similar by the SSS similarity theorem?
Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.
Show that the ratios StartFraction U V Over Z Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over X Y EndFraction are equivalent.
Show that the ratios StartFraction U V Over X Y EndFraction and StartFraction W V Over Z Y EndFraction are equivalent, and ∠V ≅ ∠Y.
Show that the ratios StartFraction U V Over Z Y EndFraction and StartFraction W U Over Z X EndFraction are equivalent, and ∠U ≅ ∠Z.
Answer:
(A)Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.
[tex]\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}[/tex]
Step-by-step explanation:
In Triangles WUV and XZY:
[tex]\angle VUW$ and \angle YXZ$ are congruent. \\\angle U W V$ and \angle X Z Y$ are congruent.\\ \angle U V W$ and \angle Z Y X$ are congruent.[/tex]
Therefore:
[tex]\triangle UWV \cong \triangle XZY[/tex]
To show that the triangles are similar by the SSS similarity theorem, we have:
[tex]\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}[/tex]
As a check:
[tex]\dfrac{UW}{XZ}=\dfrac{40}{32}=1.25\\\\\dfrac{WV}{ZY}=\dfrac{60}{48}=1.25\\\\\dfrac{UV}{XY}=\dfrac{50}{40}=1.25[/tex]
The correct option is A.
Answer:
answer is a
Step-by-step explanation:
Madeline is writing a computer program for class. The first day she wrote 5 lines of code. She wrote 15 lines of code on the second day and 45 on the third day. Find the total amount of lines of code written after all 6 days.
Answer:
1215
5×3,15×3,45×3,135×3,405×3=1215
Find the inverse of f(x) = e^x + 7
Answer:
f^-1(x) = ln(x - 7)
Step-by-step explanation:
f(x) = e^x + 7
y = e^x + 7
x = e^y + 7
e^y = x - 7
ln(e^y) = ln(x - 7)
y = ln(x - 7)
f^-1(x) = ln(x - 7)
Here are two squares, A and B. The length of the side of square A is 50% of the length of the side of square B
What is the missing step in the proof? i need help
Tres pueblos A, B y C, situados en los lados de un triángulo, quieren construir una piscina común para sus habitantes, de forma que quede a la misma distancia de los tres. ¿En qué punto se construirá? ¿Cómo se llama ese punto?
Answer:
The name of the point is the circumcenter of the triangle
Step-by-step explanation:
The pool will be built at a point which is equidistant from the three points.
This means that the distance from that center point to point A equals the distance from that center point to point B which is equal to the distance from that center point to point C.
The name of this point is called the CIRCUMCENTER of the triangle
The circumcenter is equidistant from the three vertices of the triangle which are the points A , B and C in this case
Factor-2 out of -6x + 10
Answer:
3x - 5
Step-by-step explanation:
divide both numbers by -2
During the last 5 basketball games, Javier scored 13 , 20, 13, 15, and 24 points.
What is the mean of the points Javier scored? *
Answer:
13+20+13+15+24/5
85/5
=17
Answer:
17 points
Step-by-step explanation:
Mean = total scores/number of games
Mean = (13 + 20 + 13 + 15 + 24) / 5
Mean = 85 / 5
Mean = 17 points
is the function in the graph non-linear?
4
3
-32
2
5
O Yes, because it has a constant rate of change.
O Yes, because it does not have a constant rate of change.
No, because it has a constant rate of change.
No, because it does not have a constant rate of change.
Answer:
B. Yes, because it does not have a constant rate of change.
Step-by-step explanation:
For a function to be a function (or linear), the rate of change MUST be proportional. In this data set, the numbers do not seem proportional, which makes it non-linear.
How long is the shorter leg of the triangle?
Answer:
6 is the answer
the sum of the present ages of A and B is 60 years.5 years hence their ages will be in the ratio 4:3.What were their ages 5 years ago? please show the working
Answer:
A= 30 years old
B= 20 years old
Step-by-step explanation:
Let the present age of A be x years old.
Since the sum of the present ages of A and B is 60 years,
present age of B= (60-x) years old
In 5 years
A= x +5
B= 60 -x +5= 65-x
Since the ratio of A:B= 4:3,
A would represent 4 units and B would represent 3 units.
Thus [tex]\frac{3}{4}[/tex]A=B
[tex]\frac{3}{4}[/tex](x+5)= 65 -x
[tex] \frac{3}{4} x + \frac{15}{4} = 65 - x \\ \frac{3}{4} x + x = 65 - \frac{15}{4} \\ \frac{7}{4} x = 61.25 \\ 7x = 61.25 \times 4 \\ 7x = 245 \\ x = 245 \div 7 \\ x = 35[/tex]
Thus, present age of A
= x
= 35 years old
present age of B
= 60 -x
= 60 -35
= 25 years old
5 years ago
A= 35 -5= 30 years old
B= 25 -5= 20 years old
* under the section in 5 years, [tex]\frac{3}{4} A=B[/tex] because both would be equal to 3 units each. Since B is 3 units and A is 4 units, in order to make both value the same, we divide the 4 units of A by 4 then multiply by 3 to get 3 units. Thus, [tex]\frac{3}{4}[/tex] of A is equal to B.
Factor 12x−54 using the GCF.
Answer:
6(2x-9)
Step-by-step explanation:
The two numbers in question are both even, so we can see that we can pull out 2, giving us:
2(6x -27)
Looking at this, we can see that we can no longer pull out 2, but we can pull out 3, giving us:
6(2x-9)
This can be simplified no further, so this gives us the final answer, where the GCF is 6.
A cube fits perfectly in a sphere. If the cube has a side length of 10cm, what is the volume of the sphere? Round your answer to the nearest hundredth (2 decimal places) or leave your answer in Pi form
Answer:
Step-by-step explanation:
Since the cube fits perfectly in the sphere, it means that the diagonal of the cube will form the diameter of the sphere. In a cube, all sides are equal. To determine the length of its diagonal, d, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
d² = 10² + 10² = 200
d = √200 = 14.14cm
Formula for finding the volume of a sphere is expressed as
Volume = 4/3 × π × r³
Radius of sphere = diameter/2 = 14.14/2 = 7.07cm
Volume = 4/3 × π × 7.07³ = 471.19π cm³
Please I need help with this I’m stuck I need to get it right
Answer:
b
Step-by-step explanation:
Direct Variation: If y = -16, when x = 4, find x when y = -96.
Answer:
x = 24
Step-by-step explanation:
y= -16
-16 x 6 = -96
y= -96
x= 4
4 x 6 = 24
x=24
Aubrey used 4/7 liters of paint for a mural in her room and 2/10 liter for a wall in her bathroom. Determine a reasonable estimate for the total amount of paint Aubrey used.
Answer:
27/35 is the exact answer
7/10 is an estimate
Step-by-step explanation:
4/7+2/10
Simplify the fraction
4/7+1/5
The common denominator is 35
4/7*5/5 + 1/5 *7/7
20/35 + 7/35
27/35
To estimate
4/7 is close to 1/2
2/10 is close is 1/5
1/2 + 1/5 =
5/10 + 2/10 = 7/10
Which best describes the dimensions of a line?
1 . A line has zero dimensions because it represents a
2. A line has one dimension because it is made up of a
3. A line has two dimensions because it is made up of
4. A line has multiple dimensions depending on how ma
Answer: A line has one dimension because it is made up of a figure with no thiknes that extends infinitely in both directions.
Step-by-step explanation:
A line is a one-dimensional figure, it has no thickness.
For reference, point is zero dimesional, a plane is twodimensional.
Then the correct answer would be:
A line has one dimension because it is made up of a figure with no thiknes that extends infinitely in both directions.
Solve for X.
X/3=5/8
4 4/5
17/8
8/15
Answer:
x = [tex]\frac{15}{8}[/tex]
OR
x = [tex]1 \frac{7}{8}[/tex]
Step-by-step explanation:
[tex]\frac{x}{3} = \frac{5}{8}[/tex]
Cross Multiplying
x × 8 = 5 × 3
8x = 15
Dividing both sides by 8
x = [tex]\frac{15}{8}[/tex]
OR
x = [tex]1 \frac{7}{8}[/tex]
i know it's a dumb question but please just answer it.
What is 2 x 1/6 =?
Answer:
answer is 0.33333333
Step-by-step explanation:
Answer:
0.33333333333
Step-by-step explanation:
My calculator gave me 1/3 but the real answer is 0.333 etc
different calculators give you different answers
how to factor 5r^2+10r-240
Answer:
5 ( r+8) (r-6)
Step-by-step explanation:
5r^2+10r-240
First factor out the greatest common factor
5( r^2 +2r - 48)
Now factor what is inside the parentheses
What multiplies to -48 and adds to 2
8*-6 = -48
8-6 = 2
5 ( r+8) (r-6)