In the diagram shown below PS is perpendicular to RT and the two lines intercept at W. Ray WQ is drawn. Which of the following statements about angle pairs in incorrect?
Answers
Answer:
D. angle SWT and angle QWT are complementary
Step-by-step explanation:
The angles formed at W when the two lines, PS and RT, which are perpendicular to each other intercept at W are right angles.
Thus, let's analyse each given statements to see which is true or not true about the angle pairs formed:
Statement 1: "angle PWQ and angle QWT are complementary".
m<PWT = 90°.
m<PWQ + m<QWT = m<PWT (angle addition postulate)
m<PWQ + m<QWT = 90° (definition of complementary angles)
Therefore, statement 1 is CORRECT.
Statement 2: "angle PWR and angle TWP are supplementary".
m<PWR = 90°
m<TWP = 90°
m<PWR + m<TWP = 180° (definition of supplementary angles)
Therefore, statement 2 is CORRECT.
Statement 3: "angle RWQ and angle TWQ are supplementary".
<RWQ and <TWQ are angles on a straight line and are a linear pair.
m<RWQ + m<TWQ = 180° (definition of supplementary angles)
Therefore, statement 3 is CORRECT.
Statement 4: "angle SWT and angle QWT are complementary".
m<SWT = 90°
Therefore, m<SWT + m<QWT ≠ 90°
The sum of both angles does not give 90°. Therefore, statement 4 is INCORRECT.
Related Questions
1 2/2 dived by - 1/5
Answers
Answer:
-10
Step-by-step explanation:
1 2/2= 2
2/(-1/5)=(-10)
Answer:
-10
Step-by-step explanation:
1 2/2 / -1/5
2 × 5 / -1/5 × 5
10 / - 1
10 × -1 / -1 × -1
-10 / 1
-10
HELP ME PLZZI NEED HELP WITH THIS!!
Answers
Answer:
The answer is C
Step-by-step explanation:
You would move the dot on the number to the right 5 spots, ending up at -4.
Ammy wrote 66 as an expression equivalent to (62)4 . Her math partner writes 68. Who is correct? Why?
Answers
Answer:
Ammy is correct
Step-by-step explanation:
Ammy's math partner is correct.
Applying the "power of power rule" of exponents, if we have numbers raised by another number, what is needed to be done is to simply multiply the powers.
Thus: [tex] (x^a)^b) = x^{a*b} = x^{ab} [/tex]
Applying this rule, the equivalent expression to [tex] (6^2)^4 = 6^{2*4} = 6^8 [/tex].
Therefore, Ammy's math partner is correct, while Ammy is wrong.
Write the equation of a line passing through the points (-2,0) and (7,9) in point-slope form.
Answers
Answer:
Y+0=1(x+2)
Step-by-step explanation:
if two is he same as to and too how are they different
Answers
Answer:
two is a number
too means in addition
to means motion in the direction
Step-by-step explanation:
Modern car company has come out with a new car model, Market analysts predict that 4,900 cars will be sold in the first month and that sales will drop by 100 cars per month after that during the first year. Write out the first five terms of the sequence, and find the number of sold cars predicted for the twelfth month. Find the total predicted number of sold cars for the first year. a. The first five terms of the sequence are (Use a comma to separate answers.)
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Number of cars sold in first month = 4900
Sales drop by 100 cars per month for the first year:
A(x) = a - 100(x - 1)
No = sale In first month = 4900
First five months
Ist month :
a = 4900
2nd :
4900 - 100 = 4800
3rd :
4800 - 100 = 4700
4th:
4700 - 100 = 4600
5th:
4600 - 100 = 4500
First five terms : (4900,4800,4700,4600, 4500)
Predicted sales for 12th month :
A(12) = 4900 - 100(12 - 1)
A(12) = 4900 - 1100
= 3800
Total sales for the first year:
4900+4800+4700+4600+4500+4400+4300+4200+4100+4000+3900+3800) =
= 52,200
I need help with this question
Answers
Answer:
4.20
Step-by-step explanation:
Answer:
4.2
Step-by-step explanation:
it starts with 2.80 and four is that dou led so we have to find half of 2.8 then add it to find three (I'm bad at explaining)
A swimmer competes in a 200 meter free style race. If the swimmer finishes the race in 5 minutes. How fast was the swimmer swimming?
Answers
Answer:
40meters per minutes
Step-by-step explanation:
Answer:
40m/min
Step-by-step explanation:
200m/5min
40m/min
Hope this helps!
Which expression has the same value as 59.2 - 84.7? *
27 points
A. 84.7 - 59.2
B. -84.7 + (-59.2)
C. 59.2 - (-84.7)
D. 59.2 + (-84.7)
Answers
Answer:
D. 59.2 + (-84.7)
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
How to make 20 using the number 3,5,6,3 add
Answers
Answer:
3+3+6+5+3=20
Step-by-step explanation:
3+3=6
6+6=12
12+5=17
17+3=20
Answer:
(3x3)+6+5
Step-by-step explanation:
3 times 3 is 9
9 plus 6 is 15
15 plus 5 is 20
To raise a product to a power raise each factor to the power and multiply the results. Is it true or false?
Answers
Answer:
True
Step-by-step explanation:
Hope this helps x
True
Consider two numbers a and b
Their product will be [tex]\sf a \times b = (ab) [/tex]
Suppose I want to raise this product to a power, say m
That is, [tex]\sf (ab)^m [/tex]
By rules of indices,
[tex]\sf (ab)^m = a^m \times b^m [/tex]
So, we have to raise the individual factors of the product to the power and multiply the results.
Hence the given statement is true.
Slove this inequality
5+7x ≤ 26
Answers
Answer:
x<3
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
7x+5<26
Step 2: Subtract 5 from both sides.
7x+5−5<26−5
7x<21
Step 3: Divide both sides by 7.
7x/7<21/7
x<3
Answer:
3
Step-by-step explanation:
Subtract 5 from both sides.
7x<21
7 goes into 21, 3 times.
Therefore, x<3
Your homework grades are 92, 87, 74, 96, 83, 88, 91, 82, and 85. What score on your next homework will make the median and the mode equal? List the scores in order from least to greatest. You can use the strategy Systematic Guess and Check to help you find the solution.
Answers
Answer:Next homework Score should be 87.
Step-by-step explanation:
STEP 1
Listing the scores in ascending order ie from least to greatest gives
74, 82, 83, 85, 87, 88, 91,92, 96
STEP 2
we find the median--- The median score is the score that is in the middle of the set of results when arranged from lowest to highest as we have done above , which give us 87 as the median.
74, 82, 83, 85, 87, 88, 91,92, 96
Also Mode is the score with the highest frequency , ie the score which appears more than other numbers. For now we have no mode as all the numbers occurred once
Therefore in next exam, I should get a score of 87, making my scores to become
74, 82, 83, 85, 87, 87, 88, 91,92, 96
Now my mode becomes 87 ( highest frequency of occurrence ) and
My median becomes (87+ 87)/2 = 87 ( with the addition of a new score the total score become ten, which is now even, so we divide the addtion of the two middle numbers by 2 )
2(x + 9) = 4(x - 7) + 2
Answers
Answer:
x = 22
Step-by-step explanation:
Step 1: Write equation
2(x + 9) = 4(x - 7) + 2
Step 2: Solve for x
Distribute: 2x + 18 = 4x - 28 + 2Combine like terms: 2x + 18 = 4x - 26Subtract 2x on both sides: 18 = 2x - 26Add 26 to both sides: 44 = 2xDivide both sides by 2: 22 = xRewrite: x = 22Step 3: Check
Plug in x to verify it's a solution.
2(22 + 9) = 4(22 - 7) + 2
2(31) = 4(15) + 2
62 = 60 + 2
62 = 62
Answer:
x=22
Step-by-step explanation:
2x+18=4x-28+2
2x+12=4x-26
2x+44=4x
44=2x
22=x
classify each equation below as a formula , a literal equation ,or both.
c=2d , a=1/2bh , y=2x-1, p=2e+ 2w
Answers
delete my answer please its useless
If 5x = -35, then find the value of -28 + 4x
Answers
Answer:
x=-7
Step-by-step explanation:
-28-28=-56
hope it will help you!!!!
mark as brainiest
Please help me similar triangles
Answers
Answer:
30 degrees
Step-by-step explanation:
14 + 5 + 11 = 30
180 / 30 = 6
6 x 5 = 30
So:
The smaller triangle is 30 degrees.
Hope this helps!
Someone help please!!
Answers
Answer:
B
Step-by-step explanation:
Even though -3.613 has more digits, if you add a zero to -3.63 it becomes -3.630. -3.630 is greater than -3.613.
Answer:
b i think
Step-by-step explanation:
Simplify the following expression to simplest form using only positive exponents.
(32x^-15y^25)^-2/5
Answers
Answer:
[tex]\frac{x^{6} }{4y^{10} }[/tex]
Step-by-step explanation:
THIS is the answer if the equation looks like this. [tex](32x^{-15} y^{25} )^{-2.5}[/tex]
Which graph represents the inequality y<−1+2x?
Answers
Answer:
B
Step-by-step explanation:
negative slope so the line will go down and it has a less than sign so the shade will be below it
The program recommends a constant intensity for 3 visits, increasing intensity over 3 visits, and then decreasing intensity for 3 visits before restarting the pattern. Which sets of values could be the intensities of Amber's exercise during the fourth, fifth, and sixth visits?
Answers
Answer and Step-by-step explanation:
Solution:
Set of values that are intensities of Ambers exercise during fourth, fifth and sixth visits:
63%, 63%,63%, 66%, 69%, 72%, 66%, 62%, 58%, 67%, 67%, 67%, 63%, 65%, 67%, 67%, 72%, 77%/
Program recommends a constant intensity for 3 visits,
Increasing intensity over 3 visits,
And decreasing intensity for 3 visits,
Set of values, which are intensities of Ambers exercise during fourth visits:
66%.
69%,
72%,
Set of values, which are intensities of Ambers exercise during fifth visits:
63%,
65%,
67%,
Set of values, which are intensities of Ambers exercise during sixth visits:
67%,
72%,
77%,
Its decreasing.
Can someone help with this one?
Answers
Answer:
3!
Step-by-step explanation:
Which expression does the graphic represent?
○ 7-1
○ 7-(-1)
○ 8-1
○ 8-(-1)
Answers
8-1
Use the fact that 521•73=38,033 Enter the exact product of 521•73
Answers
Answer:
38,033
Step-by-step explanation:
Kiana wants to purchase a new bicycle for $ 225.45 and helmet for $12.55. If the sales tax rate is 7%, what will be the total amount of Kiana’s purchase including sales tax? 7.13A
Answers
Answer:
$254.66
Step-by-step explanation:
225.45 + 12.55 = 238
7% of 238 = 0.07 × 238 = 16.66
16.66 + 238 = 254.66
If b= 40 degrees and c= 30 degrees, what is the measure of d?
Answers
Answer:
It would be D. 110 degrees
Step-by-step explanation:
A triangle is always equal to 180 degrees. So, if you add b + c, you get 70 degrees. Subtract that from 180, and you get 110. Hope this helped!
Answer:
a = 110 degree
d= 70 degree
Step-by-step explanation:
a+b+c = 180. (being sum of all interior angle of a triangle is 180 degree)
a+40+30 = 180
a=180-70
a = 110
Similarly,
a+d=180. (being supplementary angle)
110+d=180
d= 70
What is 1.8 divided by 2? Show Work
Answers
Answer:
0.9
Step-by-step explanation:
Unless is there is another way to answer this question, all you have to do is put it into a calculator.
A game store charges a monthly membership fee of $7.50, but then the charge to rent a game is only $1.00. Another store has no membership fee, but that store charges $2.00 to rent a game. How many games need to be rented each month for the total fees to be the same from either store?
Answers
Answer:
6 games.
Step-by-step explanation:
Given that,
Monthly membership fee of store 1 is $7.5, but then the charge to rent a game is only $1.00
Another store has no membership fee, but that store charges $2.00 to rent a game.
Let there be n games needed to be rented each month for the total fees to be the same from either store.
Cost of first store = $7.50+$1.00n
Cost of another store = $2.00
If cost equals,
$7.50+$1.00n=$2
n=5.5 [tex]\approx[/tex] 6
Hence, 6 games needed to be rented each month.
An arithmetic series contains 14 numbers. The first number is 12. The last number is 38. What is the sum of the series?
A. 312
B. 350
C. 494
D. 700
Answers
Answer:
B. 350
Step-by-step explanation:
done on edge
The sum of the sequence is 350 if the arithmetic series contains 14 numbers. The first number is 12. The last number is 38 option (B) is correct.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
It is given that:
An arithmetic series contains 14 numbers.
The first number is 12.
The last number is 38.
As we know, the sum of the arithmetic sequence or series is given by:
S = (n/2)(a + l)
Here, S is the sum of the AP
n is the number of terms
a is the first term
l is the last term
n = 14
a = 12
l = 38
S = (14/2)(12 + 38)
S = (7)(50)
S = 350
Thus, the sum of the sequence is 350 if the arithmetic series contains 14 numbers. The first number is 12. The last number is 38 option (B) is correct.
Learn more about the sequence here:
brainly.com/question/21961097
#SPJ5
In a 30 pack of Skittles, 30% are red. How many Skittles are red?
Answers
Answer: 9 skittles are red
Answer:
9
Step-by-step explanation:
30/100×30
=3/10×30
=3/1×3
=9