Answers
[tex]answer \\ b = 15 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
The measure of angle b is 15 degrees and this can be determined by using the properties of the isosceles triangle.
Given :
The length of the segment PQ is equal to the length of the segment RQ.The length of the segment PS is equal to the length of the segment RS.The following steps can be used in order to determine the measure of angle b:
Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.
Step 2 - Apply the sum of interior angle property on triangle PQR.
[tex]\angle Q + \angle P + \angle R = 180[/tex]
[tex]\angle Q + 2\angle R = 180[/tex]
[tex]2\angle R = 180-60[/tex]
[tex]\angle R = 60^\circ[/tex]
Step 3 - Now, apply the sum of interior angle property on triangle PSR.
[tex]\angle P + \angle S + \angle R = 180[/tex]
[tex]\angle S + 2\angle R = 180[/tex]
[tex]2\angle R = 180-90[/tex]
[tex]\angle R = 45^\circ[/tex]
Step 4 - Now, the measure of angle b is calculated as:
[tex]\angle b = 60-45[/tex]
[tex]\angle b = 15^\circ[/tex]
The measure of angle b is 15 degrees.
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Related Questions
Jacob traveled 171 miles in 3.8 hours. He wants to know how many miles he traveled in one hour, so he set up this problem: 171 divided by 3.8 Jacob started by multiplying the divisor and the dividend by 10. This is the new problem: 1710 divided by 38 Use long division to find the quotient. 0.45 4.5 45 450
Answers
See the attached picture
Answer:
45
Step-by-step explanation:
(i just highlighting the answer from the other person's paper)
What is the radius of this cone ? V=16cm3 and 12 cm
Answers
Answer:
1.13 cm
Step-by-step explanation:
V=1/3 * pi*r^2*h
h=12 cm (assuming, since that's what you gave)
V=16
r=1.13 cm
What is the quotient of x^2-9x+14/x-7?
A. x+2 B. x-7 C. x-2/x-7 D. x-2
Answers
Answer:
(x - 7)(x - 2)
----------------- = x - 2 for x ≠ 7
x - 7
Step-by-step explanation:
Please use parentheses to show clearly that you are dividing by (x - 7):
x^2 - 9x - 14
------------------- or (x^2 - 9x - 14) ÷ (x - 7)
x - 7
x^2 - 9x + 14 factors into (x - 7)(x + 2). After rewriting x^2 - 9x + 14 in factored form, the task of division becomes simpler:
(x - 7)(x - 2)
----------------- = x - 2 for x ≠ 7
x - 7
25.(01.05)
Given the point (5, 6) and the slope of 5, find y when x = 21. (1 point)
O 86
O 90
O 105
O 111
Answers
Step-by-step explanation:
This question gives us a point on a line and the slope of that line. So, the easiest way to answer this question is to use point-slope form, which is written as:
y-y₁ = m(x-x₁)
So, first of all, we are trying to find y (y, not y₁ which is the y-coordinate of the point we were given). We can go ahead and add y₁ to both sides to get:
y = m(x-x₁) + y₁
We can now simplify the equation to:
y = m·x - m·x₁ + y₁
Now we just input the given information.
m = 5 (slope)
x = 21
x₁ = 5
y₁ = 6
Now we have all the information we need and we can solve.
y = 5·21 - 5·5 + 6
y = 105 - 25 + 6
y = 86
So y, when x = 21, is equal to 86.
Angle of a sum of 90 degrees
Answers
Answer:
Angles that sum up to 90° are called complementary angles. For example if there are two angles with measures 40° and 50° they are know to be complementary cuz they sum up to 90.
All the very best for your math exam by the way :)
Solve for x X+10y=1550
Answers
Answer:
X=1550-10y
Step-by-step explanation:
X+10y=1550
Subtract 10y from each side
X+10y- 10y=1550-10y
X=1550-10y
Answer:
[tex]x = 1550 - 10y[/tex]
Step-by-step explanation:
[tex]x + 10y = 1550 \\ x + 10y - 10y = 1550 - 10y \\ x = 1550 - 10y[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
NEED HELP ASAP!!
WILL GIVE BRAINILESS!!
Attached the work need all questions to be done x
Answers
Answer:
i) 2x² + 4x + 7x + 14
= 2x² + 11x + 14
ii) 2x² - 5x - 12x + 30
= 2x² - 17x + 30
Someone help meeee lollll
Answers
Answer:
Step-by-step explanation:
The best way to do this is to first remove the parenthesis by distributing the negative into them. Then we will group the like terms together, moving their respective signs with them, then we will simplify. For the first one, after distributing the negative into the parenthesis (remember that a negative in front of a set of parenthesis containing a polynomial changes the signs in front of each term within the polynomial; negatives become positives and positives become negatives):
[tex]3x^2-6x+11-10x^2+4x-6[/tex] and then grouping like terms next to each other:
[tex]3x^2-10x^2-6x+4x+11-6[/tex] (this step is not completely necessary; I just encourage new learners to do it so as to not miss any of the like terms)
The above then simplifies to
[tex]-7x^2-2x+5[/tex]
The next one, after distributing the negative into the parenthesis:
[tex]-3x^2-5x-3+10x^2+7x-2[/tex] and then grouping like terms next to each other (remember to move their signs with them!):
[tex]-3x^2+10x^2-5x+7x-3-2[/tex] which simplifies to
[tex]7x^2+2x-5[/tex]
Now for the last one:
[tex]12x^2+6x-5-5x^2-8x+12[/tex] and
[tex]12x^2-5x^2+6x-8x-5+12[/tex] which simplifies to
[tex]7x^2-2x+7[/tex]
Juan recorded the number of pages each student read this week. His data are shown: 73, 79, 81, 50, 72, 112, 83, 76, 75, 80, 81 How many outliers do Juan’s data have?
a.0
b.1
c.2
d.3
Answers
Answer:
2
Step-by-step explanation:
50 and 112 are significantly different from the other data
[tex]5x^{3} * 2x^{2}[/tex]
Answers
Steps to solve:
5x^3 * 2x^2
~Apply exponent rule
5x^3+2 * 2x
~Simplify
5x^5 * 2x
~Combine like terms
10x^5
Best of Luck!
which equations are true identities
Answers
Answer:
C
Step-by-step explanation:
Both A and B are true identities.
See attachment.
Can someone please help me
Answers
Answer:
880
Step-by-step explanation:
600miles = 3168000feet
316800/3600=880
Wht is the y-intercept of the line describes by the equation below?
Answers
Answer:
(0,7)
Step-by-step explanation:
This is in the form
y = mx+b where m is the slope and b is the y intercept
y = -5x +7
The slope is -5 and the y intercept is 7
(0,7)
Answer:
(0,7)
Step-by-step explanation:
y=mx+b
y=-5x+7
so y intercept is (0,7)
how do you know if a transfomation is rotation translation or reflection
Answers
Answer:
Step-by-step explanation:
Translation: You move the shape by moving the points on the shape by the number, it changes the location of the shape.
Reflection: There is a line of reflection and the shape will be reflected by that, like a mirror, so it will be the same shape, same size.
Rotation: There is a point of rotation and the shape will just move around that point and will change the positioning if the shape. Always has coordinates
Help. Summer school math please.
Answers
Answer:
y = 3x
where y is the plant height in cm and x is the time in months
at 12 months, height would be 36 cm
Step-by-step explanation:
Here, we want to model the data
let’s call the months x and the height y
What do you notice?
we can clearly see that the height is always 3 times the month
3 * 3 = 9
5 * 3 = 15
7 * 3 = 21
9 * 3 = 27
so we can say that;
Time in months * 3 = Plant height in cm
using the x and y notation;
x * 3 = y
or simply y = 3x
Now the height at 12 months can be calculated by substituting the value of x for 12
y = 3 * 12 = 36 cm
Rewrite the fraction in the sentence below as a percentage. Of the markets in a certain city, 7/10 offered customers a salad bar in 1998 .
Answers
Answer:
shawty a lil baddie
Step-by-step explanation:
i like ur mom bro
The percentage of salad bars offered to customers in 1998 is; 70%.
What is the percentage?The percentage refers to the value of a variable contained in a whole number.
The percentage is the ratio that a variable is contained in another.
Percentages, which are over 100, are depicted using the percentage sign (%).
Data and Calculations:
We are Given that Of the markets in a certain city, 7/10 offered customers a salad bar in 1998 .
7/10 salad bars were offered to customers,
The conversion to percentage = 70% (7/10 x 100)
Thus, the percentage of salad bars offered to customers in 1998 would be equal to 70%.
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1. A system of equations is shown below. Find the solution by using substitution.
y = 3x - 2
y = x + 2
Answers
Answer:
x = 2
y = 4
or (2 , 4)
Step-by-step explanation:
Since both equations are equal to y we can substitute one of the equations to fill in the spot of y so that both equations are equal to each other with no y variable.
[tex]3x-2 = x+2\\[/tex]
Now we can solve x.
[tex]3x= x+4\\[/tex]
[tex]2x = 4\\[/tex]
x = 2
Now that we have solved for one variable we can plug this back into either equation and solve for y.
[tex]y = 2 + 2\\[/tex]
y = 4
Can someone please help me
Answers
Answer:
1) Yes
Product of Means = Product of Extremes
4 × 21 = 7 × 12
84 = 84
2) No
Product of Means = Product of Extremes
2 × 2 = 3 × 3
4 ≠ 9
3) No
Cross multiplying
3 × 6 = 4 × 8
18 ≠ 32
4) Yes
Cross Multiplying
1 × 25 = 5 × 5
25 = 25
Answer:
Step-by-step explanation:
1) 4 : 7 ? 12 : 21
If product of mean is equal to product of extremes, then they are proportion
Product of extremes = 4*21 = 84
Product of mean = 7 * 12 = 84
Product of extremes = Product of mean
They are in proportion
4 : 7 :: 12 : 21
2) 2 : 3 ? 3: 2
Product of extremes = 2*2 = 4
Product of mean = 3*3 = 9
Product of extremes ≠ Product of mean
They are not in proportion
2 : 3 ≠ 3 : 2
3) 3/4 ? 8/6
3 : 4 ? 8:6
Product of extremes = 3 * 6 = 18
Product of mean = 4 * 8 = 24
Product of extremes ≠ Product of mean
They are not in proportion
3 : 4 ≠ 8 : 6
4) 1/5 ? 5/25
1:5 ? 5 : 25
Product of extremes = 1 * 25 = 25
Product of mean = 5 * 5 = 25
Product of extremes = Product of mean
They are in proportion
1 : 5 :: 5 : 25
which function below is the inverse of f(x)= 7x-1/2
Answers
Answer: [tex]f^{-1}(x)=\frac{x}{7}+\frac{1}{14}[/tex]
Step-by-step explanation:
If we have y=7x-1/2, the inverse is where we solve for x instead of y.
We can isolate x to get 7x=y+1/2, then divide by 7 to get x=y/7+1/14.
Therefore, [tex]f^{-1}(x)=\frac{x}{7}+\frac{1}{14}[/tex].
Hope that helped,
-sirswagger21
15 POINTS!! PLEASE HELP
The equation of line WX is 2x + y = −5. What is the equation of a line perpendicular to line WX in slope-intercept form that contains point (−1, −2)?
y = one half x + three halves
y = negative one halfx + three halves
y = one half x − three halves
y = negative one halfx − three halves
Answers
Answer:
y = 1/2x - 1
Step-by-step explanation:
The easiest was you do this is to first rearrange the equation into slope-intercept form (y = mx + b). After rearranging, you can find the slope (m).
2x + y = -5
y = -2x - 5
The slope is -2. Since the line we are trying to find is perpendicular, find the inverse and multiply it by -1.
-2 => 1/2
Now use the point-intercept form to find the new equation. Use the slope (1/2) and the given point (-1, -2).
y - y₁ = m(x - x₁)
y - (-2) = 1/2(x - (-2))
y + 2 = 1/2(x + 2)
y + 2 = 1/2x + 1
y = 1/2x - 1
The equation of the line perpendicular to line WX is y = 1/2x - 1.
The equation is y = (1/2)x -(3/2) ; y = one half x − three halves.
The correct option is D.
What is the equation of a Straight Line?
An equation of the straight line is given by y = mx+c,
Here m is the slope and c is the intercept on y-axis.
The equation of the line WX is 2x+y = -5
y = -2x -5
The product of the slopes of the line and the line perpendicular to this line will be -1
Therefore the slope of the line perpendicular to the line WX is -2 * m = -1,
m = 1/2
y = (1/2)x +c
The line passes through the points (-1, -2)
-2 = (1/2) (-1) +c
c = -2 +(1/2)
c = (-4 +1) /2
c = -3/2
Therefore, the equation is y = (1/2)x -(3/2) ; y = one half x − three halves.
The correct option is D.
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If m vb = 60 and m bs =30 then m 3 =. 30 45 15
Answers
Answer:
Option (3)
Step-by-step explanation:
PB is a tangent and PV, PU are the secants drawn to the circle.
[tex]m(\widehat {VB})[/tex] = 60° and [tex]m(\widehat{BS})[/tex] = 30°
By theorem of tangent and secants,
"When a tangent and secant are drawn from a point outside the circle, then the measure of the angle formed is one half the difference of intercepted arcs."
m∠BPV = [tex]\frac{1}{2}[m(\widehat{BV}-m(\widehat{BS})][/tex]
m∠3 = [tex]\frac{1}{2}[60-30][/tex]
m∠3 = 15°
Therefore, Option (3) will be the answer.
A candy company provides samples of fudge and truffles to their store visitors. The manager authorized the store to distribute up to 50 pieces of candy. The store expects to give away at least 20 pieces of fudge and at least 15 truffles
Answers
Answer:
hdhufhduh
Step-by-step explanation:
Dream Studio offers 5 music lessons for $60. Fox Studio offers 8 music lessons for $72. What is the cost per lesson at each studio? What studio offers a better deal? Why?
Answers
Dream Studio offers music lessons at $12 per lesson. Fox Studio offers music lessons at $9 per lesson. The better deal here would be Fox Studio. This is because Fox Studio offers cheaper lessons. For eight lessons at Dream Studio it costs $96, where as eight lessons at Fox Studio costs only $72.
Explanation:
Step 1 - Find the cost per lesson at Dream Studio
60 / 5 = 12
So, $12 per music lesson at Dream Studio.
Step 2 - Find the cost per lesson at Fox Studio
72 / 8 = 9
So, $9 per music lesson at Fox Studio.
Step 3 - Find out which offers a better deal
•Dream Studio = $96 for eight music lessons
• Fox Studio = $72 for eight music lessons
Given a line segment containing the points A,B, & C, in order, if AB is 4 and BC is 16, then the length of AC would be ____. Select one: a. - 12 b. 12 c. 8 d. 20
Answers
All you have to do is add AB and BC together
The length of AC will be equal to 20 units for the given line.
What is the distance?Distance is defined as the length between the two points here we have a line AC divided into two parts having a length of AB = 4 and BC is 16.
The length of the line AC will be calculated as:-
AC = AB + BC
Ac = 4 + 16
AC = 20 units.
Therefore the length of AC will be equal to 20 units for the given line.
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NO ONE HELPED ME WITH MY LAST QUESTION PLS HELP WITH THISSSS, I DONT WANNA GET A BAD GRADE AND I HAVE 2 MINUTES LEFTT!!
Answers
Answer:
Step 2.
-11/12 > -1.5
1.6 > 5/4
1 < 5/4
Step-by-step explanation:
Eval should have swapped the numerator and denominator of 4/9 when she replaced division by multiplication.
What is the average rate of change from
x = 10 to x = 15?
Answers
Answer:
✔ -2
Step-by-step explanation:
correct
Answer:
-2 is your answer
Step-by-step explanation:
What is the probability that you’re on mars right now?
Answers
The probability of you being on Mars right now is very slim, because no one that we know of currently lives on Mars.
I’m laying in bed, I guarantee this is not Mars.
Definitions of ASA SAS AAS, can someone dumb it down plz?
Answers
Answer:
Hope this helps.
Step-by-step explanation:
So for ASA, the two triangles have to have two angles congruent, and in the middle of those angles, they have to have a line that's congruent.
For SAS, the two triangles have to have two lines congruent, and in the middle of those lines, they have to have an angle that's congruent.
For AAS, the two triangles have to have two angles congruent, but the line that's congruent has to be on the side, not in the middle.
Devin walked 4.5 miles. There are approximately 1.6 kilometers in 1 mile.
How many kilometers did Devin walk, rounded to the nearest tenth?
Answers
Answer:
Approximately 7.2 kilometers
Step-by-step explanation:
4.5(miles walked)*1.6(kilometers in mile)=7.2(kilometers in 4.5 miles)
Answer:
7.2 kilometres
Step-by-step explanation:
4.5 * 1.6
If a line segment AB is on the number line, and the point A is at - 4 and point B is at 7, the length of AB is ____. Select one: a. - 3 b. 11 c. 3 d. 10
Answers
-4,-3,-2,-1,0,1,2,3,4,5,6,7
A B
Therefore,the length of AB is 11
HOPE IT HELPS!!!!
PLEASE MARK BRAINLIEST!!!!
The length of the segment AB is 11
How to determine the length of the segment?The given parameters are:
A = -4
B = 7
The length of the segment is calculated as:
AB = |A - B|
Substitute known values
AB = |-4 - 7|
Evaluate the difference
AB = |-11|
Take the absolute difference of 11
AB = 11
Hence, the length of the segment AB is 11
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