Need some help with these 2 math questions, They are related so best to finish one then work on the bisect. Thank you.
Answers
Answer:
∠RQT = 23.5
∠PQR = 133°
Step-by-step explanation:
Question 1Step 1 - Add angles together:
As all angles on a straight line must add up to 180°:
3x - 5 + x + 1 = 180
Add like terms together
3x + x - 5 + 1
4x - 4 = 180
Step 2 - Add 4 to both sides of the equation:
4x - 4 + 4 = 180 + 4
4x = 184
Step 3 - Divide both sides by 4:
[tex]\frac{4x}{4} = \frac{184}{4}[/tex]
x = 46
∠RQS = x + 1
∠RQS = 46 + 1
∠RQS = 47
Given the ray QT bisects ∠RQS, the angles must be the same on either side so:
47 ÷ 2 = ∠RQT
∠RQT = 23.5
Question 2As we know the value of x:
∠PQR = 3x - 5
Plug known values in:
3x - 5
3(46) - 5
138 - 5
∠PQR = 133°
This can also be calculated by subtracting known angle ∠RQS from 180:
180 - 47 = 133.
Hope this helps!
Related Questions
Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.
Answers
Answer:
I dont but want to.
Hope this helps! :) ;-;
Step-by-step explanation:
Assume that the finishing times in a New York City 10-kilometer road race are normally distributed with a mean of 55 minutes and a standard deviation of 10 minutes. Let X be a randomly selected finishing time.
a. What percent of finish times was higher than 72 minutes? (Give your answers rounded to two decimal places)
b. What percent of finish times was between 52 and 70 minutes? (Give your answers rounded to two decimal places)
c. What is the 40th percentile finish time? (Round your answer to nearest tenth)
d. What is the 95th percentile finish time? (Round your answer to nearest tenth)
Answers
Using the normal distribution, it is found that:
a) 4.46% of finish times was higher than 72 minutes.
b) 55.11% of finish times was between 52 and 70 minutes.
c) The 40th percentile of finish times is 52.5 minutes.
d) The 95th percentile of finish times is 71.45 minutes.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 55 minutes, hence [tex]\mu = 55[/tex].The standard deviation is of 10 minutes, hence [tex]\sigma = 10[/tex]Item a:
The proportion is 1 subtracted by the p-value of Z when X = 72, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{72 - 55}{10}[/tex]
[tex]Z = 1.7[/tex]
[tex]Z = 1.7[/tex] has a p-value of 0.9554
1 - 0.9554 = 0.0446
0.0446 x 100% = 4.46%
4.46% of finish times was higher than 72 minutes.
Item b:
Th proportion is the p-value of Z when X = 70 subtracted by the p-value of Z when X = 52, hence:
X = 70:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{70 - 55}{10}[/tex]
[tex]Z = 1.5[/tex]
[tex]Z = 1.5[/tex] has a p-value of 0.9332.
X = 52:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{52 - 55}{10}[/tex]
[tex]Z = -0.3[/tex]
[tex]Z = -0.3[/tex] has a p-value of 0.3821.
0.9332 - 0.3821 = 0.5511
0.5511 x 100% = 55.11%
55.11% of finish times was between 52 and 70 minutes.
Item c:
The 40th percentile is X when Z has a p-value of 0.4, so X when Z = -0.253.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.253 = \frac{X - 55}{10}[/tex]
[tex]X - 55 = -0.253(10)[/tex]
[tex]X = 52.5[/tex]
The 40th percentile of finish times is 52.5 minutes.
Item d:
The 95th percentile is X when Z has a p-value of 0.95, so X when Z = 1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 55}{10}[/tex]
[tex]X - 55 = 1.645(10)[/tex]
[tex]X = 71.45[/tex]
The 95th percentile of finish times is 71.45 minutes.
A similar problem is given at https://brainly.com/question/24663213
Write the equation of the function graphed below:
a. f(x) = 2x−−√3 –4
b. f(x) = 2x−−√3 + 4
c. f(x) =x−−√3 + 4
d. f(x) =x−−√3 – 4
Answers
Answer:
I have a couple questions before I answer, what do the 2 dashes represent and are the 4s also under the square root?
A father and his young toddler are walking along the sidewalk. For every 3 steps
the father takes, the son takes 5 steps just to keep up. What is the ratio of
the number of steps the father takes to the number of steps the son takes? Add
labels to the columns of the table and place the ratio into the first row of
data. Add equivalent ratios to build a ratio table.
Answers
Answer:
Ratio 5:3
Step-by-step explanation:
5:3 equivalent fraction are 10:6, 15:9
math help me please n
Answers
Answer:
Step-by-step explanation:
21x1/12=1.75 cm
1.75x10=17.55 mm
17.55 mm
WILL GIVE BRAINLIEST ‼️ The graph represents the piecewise function:
Answers
Answer:
[tex]f(x) = \left \{ {{x + 3} \quad \text{if} \ -3 \leq x < -1\atop {5} \quad \text{if} \ -1 \leq x \leq1} \right.[/tex]
Step-by-step explanation:
You can find the first function if you know the general form of a line:
[tex]y = mx + b[/tex]
where [tex]m[/tex] is the slope and [tex]b[/tex] the intercept point with the [tex]y[/tex]-axis.
So in the first case the slope is 1 because the next formula
[tex]m = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2-0}{-1+3} = 1[/tex]
And you can find the interception point if extend the line, then in our case is 3.
So the function is:
[tex]f(x) = x + 5[/tex]
In the other case is constant function that's mean that the function has the next form
[tex]f(x) = k[/tex]
Where [tex]k[/tex] is a constant.
So you only have to observe what is the value for each point in the interval, in this occasion is 5.
So the final answer is:
[tex]f(x) = \left \{ {{x + 3} \quad \text{if} \ -3 \leq x < -1\atop {5} \quad \text{if} \ -1 \leq x \leq1} \right.[/tex]
Express (x+5)^2 as a trinomial in standard form.
Answers
Answer:
x² + 10x + 25
Step-by-step explanation:
(x + 5)(x + 5)
using FOIL method
First x•x = x²
Outside x•5 = 5x
Inside 5•x = 5x
Last 5•5 = 25
add like terms together.
Answer:
x^2 + 25 + 10x
= x^2 + 10x + 25
Step-by-step explanation:
( x + 5 )^2
Formula : -
( a + b )^2 = a^2 + b^2 + 2ab
Here,
a = x
b = 5
( x + 5 )^2
= x^2 + 5^2 + 2 ( x ) ( 5 )
= x^2 + 25 + 10x
The vector makes angles
[tex]Sin^- {}^{1} (\frac{ \sqrt{2146} }{65} ) \: and \: sin {}^{ - 1} ( \frac{12}{13} )[/tex]
with the X and Y axes.Find the Sin Ratio of the angle that is makes with Z-axis.
Answers
Answer:
To know the answer refer to attachment.
Note: There are 3 attachments
Scroll side to see the 3rd attachment
[tex]\Large\textsf{Hope \: It \: Helped}[/tex]
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=38(1.108)^x
what is the % increase
Answers
Katie invested a total of $6000 part at 3% simple interest and part at 4% simple interest at the end of one year the investment had earned $216 interest how much was invested at each rate?
Answers
Answer:
$3600 at 4%$2400 at 3%Step-by-step explanation:
Let x represent the amount invested at 4% (the higher rate). Then the amount invested at 3% is (6000-x), and the total interest earned is ...
0.04x + 0.03(6000 -x) = 216
0.01x +180 = 216 . . . . simpilfy
0.01x = 36 . . . . . . . . subtract 180
x = 3600 . . . . . . . . multiply by 100
6000-x = 2400
Katie invested $3600 at 4% and $2400 at 3%.
Write the value of the underlined digit in words 5.3479? 7 being the underlined number.
Answers
The place value of 7 in words in 5.3479 is seven thousandths
The given number is 5.3479
The underlined digit has been identified as 7
The place values of each of the digits in 5.3479 are:
5 = 5 units
3 = 3 tens
4 = 5 hundredths
7 = 7 thousandths
9 = 9 ten thousandths
Therefore, the place value of 7 in words in 5.3479 is seven thousandths
Learn more here: https://brainly.com/question/25750254
Explain how each location given in the table is related to the origin.
Answers
Refer to the attachment
Derrick's dinner bill, including an 18% tip, is $15.34.
What was the amount of the bill before the tip?
Enter your answer in the box. I WILL GIVE BRANLIEST IF ASWERED CORRECTLY
Answers
Answer:
The amount before the tip was $12.58
Step-by-step explanation:
Answer:
The amount before the tip was $12.58
Step-by-step explanation:
How many different 3 topping pizzas can be made if 10 different toppings are available?
Answers
10 x 9 x 8 = 720
9514 1404 393
Answer:
120
Step-by-step explanation:
We assume the order of the toppings does not matter. Then the number of interest is the number of combinations of 10 toppings taken 3 at a time. That is given by ...
10C3 = C(10, 3) = 10!/(3!(10 -3)!) = 10·9·8/(3·2·1) = 120
120 different 3-topping pizzas can be made if 10 toppings are available.
_____
Additional comment
If order matters, then 10 choices can be made for the first topping, 9 for the second, and 8 for the third, for a total of 10×9×8 = 720 different pizzas.
5/8 Divided by 6 5/6
Answers
Answer:
15/164
Step-by-step explanation:
5/8 ÷ 6 5/6 = 5/8 ÷ 41/6
= 5/8 x 6/41
= 30/328
= 15/164
anna is 5ft tall and has a shadow that is 3ft long. she is standing next to the stop sign if the sign’s shadow is 4.5 ft long how tall is the stop sign
Answers
Answer:
6.5 feet
Step-by-step explanation:
Anna's shadow is 2 feet shorter than her. So, therefore, the stop sign is 2 feet taller that its shadow.
The sum of two numbers is eight one number is four less than the other find the numbers
Answers
Step-by-step explanation:
the numbers : x, y
x + y = 8
x = y - 4
we use the second equation in the first :
y - 4 + y = 8
2y - 4 = 8
2y = 12
y = 6
x = y - 4 = 6 - 4 = 2
Answer: The answer is 6 and 2
Step-by-step explanation:
X is first number, Y is second
x + x - 4 = 8
2x = 12
x = 6
Y = x - 4
Y = 6 - 4
Y = 2
x = 6
Y = 2
solve pls brainliest
Answers
Answer:
circle, triangle, rectangle
Answer:
the first cross section would make a circle (option 2, the second would make a triangle (option 6), and the last one would make a rectangle (option 1). hope this helps!
3
Evaluate the expression 2 + 2 x 5 - 3
Answers
Answer:
9
Step-by-step explanation:
Please Excuse My Dear Aunt Sally
Answer:
= 10x − 1
Step-by-step explanation:
Let's simplify.
2 + 2x(5) − 3
= 2+10x + −3
Combine Like Terms:
= 2 + 10x + −3
= (10x) + (2 + −3)
= 10x + −1
= 10x − 1
help ! ✬
due tomorrow, i font understand this at all :(
Answers
Answer:
41 litters to gallons is 10.8311
3.5 gallons to litters is 13.2489
A = 10.8311 Gallons
B = 13.2489 Literes
The store owner tells the girls that half of the DVDS are out on loan. How many DVDS does the store own in total?
Answers
3
Step-by-step explanation:
i need help to
what is the radius and diameter of the following circle ? 5.1 cm ?
Answers
3plss help...................................
Answers
i need help pwease help me i give brainly
Answers
Answer:
the answer is A
Step-by-step explanation:
Can I get help please..................
Sara bought 3/4 of a pound of bananas and 3/5 of a pound of pears. How much fruit did Sara buy?
Answers
Answer:
27/20
Step-by-step explanation:
¾ + ³/5= 27/20. .......................
Matrix fractions 1/2+2/6. I don't understand the steps in this.
Answers
Answer: 5/6
Step-by-step explanation:
You have to multiply the denominator and numerator by 3 to get the same denominato. Then you ONLY add the numerator. 3/6 + 2/6 = 5/6.
Help please im struggling fighting demons rn
Answers
Two teams are going on a trip to play a game. There will be
2 buses to take the students. On each bus, there are 60
seats. Teachers and parents will sit in 10 of the seats on
each bus
How many seats are available for students on the buses?
No links
Answers
*%~.Answer .~%*
The Answer is 100
-——————-
First you would Multiply 2 and 60
You can do that by adding 60 two times.
-——————-
60. It should look like this. If you didn’t get
+ 60. 120 then your answers is incorrect, or
——— wrong. ☺️
120
-——————-
Now you multiply 10 x 2 because the teacher’s and parents will take up 10 is the seats on each bus!
To make is easier add 10 and 10 you should get 20!
-——————-
Now subtract 20 from 120.
120. You should get 100! If you didn’t get
- 20. 100 then you're answer is incorrect or
———. Wrong, Once again.
100
——-————————-
You're answer is, 100! There will be 100 seats leftover or available for the students on the busses!
~ pls Mark brainiest, or at least say thanks!
• TheTrueNezuko.
A factory made 900 jars of peanut butter. 35% of the jars contained creamy peanut butter. How many jars of creamy peanut butter did the factory make?
Answers
Answer:
315 jars
Step-by-step explanation:
This question is merely another way of writing: what is 35% of 900?
Now, when we look at it that way, it's easy to solve.
So, the way to solve is to either multiply 35% by 900, or just interpret that as 0.35 times 900. Anyway, the result is 315.
I hope this helped a bunch! Tell me if you need any further assistance...
( :
Mike can drive 345 miles on
15 gallons of gas. How many
miles per gallon does Mike
get?
Answers
Answer:
23
if you have 15 gallons of gas and it makes it 345 miles that is 345 divided by 15 which is 23 or 023
15x2 equals 30 34 - 30 equals 4 bring the 5 down you have 45 15x3 equals 45, 45 - 45 equals 0