find ∠rqt (4x+15) (10x-3)
Answers
The measure of angle RQT is 63°
Calculating anglesFrom the question, we are to determine the measure of angle RQT.
From the diagram,
We can observe that ∠PQS and ∠SQT form a linear pair
Thus,
∠PQS + ∠SQT = 180°
(4x + 15)° + (10x - 3)° = 180°
First, determine the value of x
4x + 15 + 10x - 3 = 180
4x + 10x = 180 - 15 + 3
14x = 168
x = 168/14
x = 12
In the diagram,
∠RQT and ∠PQS are vertically opposite
From the given information,
∠PQS = (4x + 15)°
∴ ∠RQT = (4x + 15)°
Substitute the value of x
∠RQT = (4(12) + 15)°
∠RQT = (48 + 15)°
∠RQT = 63°
Hence, the measure of angle RQT is 63°
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Related Questions
Wavelength is 0.00004 cm is the weather like for a violet light a large or small value and how do you know
Answers
Wavelength is 0.00004 cm is the weather like for a violet light a large or small value and how do you know
The frequency of the violet light is [tex]7.495\times10^{14} s^{-1}[/tex].
Given that,
Wavelength λ=0.00004cm
First, we convert cm to nm
0.00004cm =400nm
These are connected by the equation in electromagnetic radiation (light):
c = λυ
where c refers to the speed of light value is 2.998 x [tex]10^{8}[/tex] m/s, λ refers to wavelength (m) and υ refers to frequency ([tex]s^{-1}[/tex]or Hz).
Now, c = λυ
2.998 x [tex]10^{8}[/tex] m/s=400[tex]\times[/tex][tex]10^{-9}[/tex]m[tex]\times\\[/tex]υ
υ=[tex]\frac{2.998\times10^{8} m/s}{400\times10^{-9}m }[/tex]
υ= [tex]7.495\times10^{14} s^{-1}[/tex]
Therefore, The frequency of the violet light is [tex]7.495\times10^{14} s^{-1}[/tex].
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the standard deviation for using a certain radar speed detector is 0.56 mph for vehicle speeds around 30 mph. if you were traveling 33 mph in a 30 mph zone and if a police officer used this speed detector, what is the probability that you would be clocked at below the speed limit?
Answers
0.0001 is a very tiny possibility that you will get caught driving slower than the posted speed limit.
What is probability?Probability is a branch of mathematics that deals with the numerical representations of the likelihood that an event will occur or that a statement is true. A number between 0 and 1 is the probability of that an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
How can you calculate the probability?By simply dividing the actual favorable amount of possibilities by the entire number of possible outcomes, one can use the probability formula to determine the likelihood of an event.
According to the given data:Given,
radar speed detector is 0.56 mph.
inital speed = 33mph
final speed = 30mph
finding the probability that we clocked at below the speed limit.
so,
p(Z<(inital- final)/speed detector)
p(Z<(33-30)/0.56)
p(Z<5.35)
where Z = 1
p(1 - 0.9999)
= 0.0001
0.0001 is a very tiny possibility that you will get caught driving slower than the posted speed limit.
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1 and 4 are supplementary and 2 and 3 are supplementary because they are corresponding angles.
Answers
Proved that angle 2 is congruent to angle 4 (∠2 ≅ ∠4).
What are supplementary angles?Supplementary angles are those that total 180 degrees. Angles 130° and 50°, for example, are supplementary angles because the sum of 130° and 50° equals 180°.To proof:
Given:
Angles 1 and 2 are supplementary.Angles 3 and 4 are supplemental.Angle 1 is parallel to angle 3.Show that angle 2 and angle 4 are congruent.This proof includes definitions of congruence and supplementary angles, as well as some equality properties.
∠1 and ∠2 are supplementary (given)∠3 and ∠4 are supplementary (given)∠1 ≅ ∠3 (given)m∠1 + m∠2 = 180°m∠3 + m∠4 = 180° m∠1 + m∠2 = m∠3 + m∠4 (transitive property of equality)m∠1 = m∠3 9congruent angles)m∠1 + m∠2 = m∠1 + m∠4 (substitution property of equality) (replaced m∠3 with m∠1)m∠2 = m∠4 (subtraction property of equality) (subtracted m∠1 from both sides)∠2 ≅ ∠4 (congruent angles)Therefore, the proving is shown.
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The correct question is given below;
Angle 1 and angle 2 are supplementary. Angle 3 and angle 4 are supplementary. Angle 1 is congruent to angle 3. Prove: Angle 2 is congruent to angle 4.
Which property would be the best to help simplify the expression? (-2.7 x 5) x 2 commutative commutative associative associative transitive transitive distributive
Answers
Associative property would be the best to help simplify the given expression.
It's given that (-2.7 x 5) x 2 and using associative property we can write it as , (-2.7 x 5) x 2 = -2.7 x ( 5 x 2 ) = -2.7 × 10 = - 27
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1. A group of 12 students goes on a
school field trip. Of all the students
on the trip, 6 are in third grade.
Which fraction is equivalent to?
A. 1/3
B. 1/4
C. 1/6
D. 1/2
Answers
if a measure is reliable, it: please choose the correct answer from the following choices, and then select the submit answer button. produces a consistent result if the same thing is measured twice. measures what it was intended to measure. predicts actual behavior. co-varies with the independent variable.
Answers
A reliable measure is one that (A) produces a consistent result if the same thing is measured twice.
What do we mean by reliable measure?The consistency with which a method attempts to measure something is referred to as its reliability. The measurement is considered reliable if the same result can be consistently obtained by using the same methods under the same conditions. The stability or consistency of test scores is measured by reliability.It can also be defined as the ability of a test or research findings to be repeated. A medical thermometer, for example, is a dependable tool that consistently measures the correct temperature. When the same thing is measured twice, a reliable measure produces the same result.Therefore, a reliable measure is one that (A) produces a consistent result if the same thing is measured twice.
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The correct question is given below:
A reliable measure is one that:
A) produces a consistent result if the same thing is measured twice.
B) measures what it was intended to measure.
C) predicts actual behavior.
D) co-varies with the independent variable.
Each year, Jennifer's school hosts a student vs. teacher basketball tournament to raise money for charity. This year, there are eight teams participating in the tournament. During the first round, each team plays all of the other teams.
(c) Find a numerical method that you could use regardless of the number of the teams in the tournament to calculate the number of games in the first round.
Answers
A numerical method that you could use regardless of the number of the teams in the tournament to calculate the number of games in the first round is; (n − 1) + (n − 2) +…+ 1.
What is the Numerical Method used?
The first team will play with the other 7 teams.
Then the second team will play with the 6 other teams, as the game between the first and the second team has already been counted.
Similarly, the third team will play with 5 other teams, and so on. Thus, the
total number of games will be 7 + 6 + 5 + 4 + 3 + 2 + 1 = 28.
Therefore, in the first round there will be 28 games.
If there are 8 teams in the tournament, the number of games in the first round is (8 − 1) + (8 − 2) +…+ 1. Therefore, if there are n teams in the
tournament, the number of games in the first round is given by the sequence; (n − 1) + (n − 2) +…+ 1.
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List all pairs of congruent angles, and write a proportion that relates the corresponding sides for each pair of similar polygons.
\triangle D F G \sim \triangle K M J
Answers
All pairs of congruent angles, and proportion that relates the corresponding sides for each pair of similar polygons are;
∠A ≅ ∠Z, ∠B ≅ ∠Y and ∠C ≅ ∠X
AC/ZX = BC/YX = AB/ZY
What are the congruent angles?
From the attached image, we see that Triangle ABC is similar to Triangle ZYX.
Now, the order of vertices in a similarity statement identifies the corresponding angles and sides. Since we know that ΔABC is similar to ΔZYX, we can take the corresponding angles of this statement and set them congruent to each other.
Now, since the corresponding sides of similar triangles are proportional to each other, we can write a proportion that relates the corresponding sides to each other as;
∠A ≅ ∠Z, ∠B ≅ ∠Y and ∠C ≅ ∠X
AC/ZX = BC/YX = AB/ZY
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if two groups of numbers have the same mean, then group of answer choices their standard deviations must also be equal. their medians must also be equal. their modes must also be equal. other measures of location need not be the same.
Answers
If two groups of numbers have the same mean, then (D) none of these alternatives is correct.
What is mean?In mathematics, particularly statistics, there are several types of means. Each mean is used to summarize a specific set of data, often in order to better understand the overall value (magnitude and sign) of a given data set.The arithmetic mean, also known as "arithmetic average," of a data set is a measure of the central tendency of a finite set of numbers: specifically, the sum of the set divided by the number of values. If two sets of numbers have the same mean, their standard deviations, medians, and modes must also be different.Therefore, if two groups of numbers have the same mean, then (D) none of these alternatives is correct.
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The correct question is given below:
If two groups of numbers have the same mean, then
a. their standard deviations must also be equal
b. their medians must also be equal
c. their modes must also be equal
d. None of these alternatives is correct.
Find the range of the relation.
A. {-6, -5, -3, -1, 0, 3, 6}
B. {-6, 6}
C. {-6, -3, 0, 3, 6}
D. {-5, -3, -1, 1, 3}
Answers
The range of the given relation in the table is option C {-6,-3,0,3,6}
Here first column x represents the domain of the function
Domain is the set of all possible input for the function.
Second column y represents the range of the function
Range is the set of all possible output for the function.
Here the set of all possible inputs of the functions are {-5,-3,-1,1,3}
The set of all possible outcomes of the functions are {-6,-3,0,3,6}
Then the range of the relation in the table = {-6,-3,0,3,6}
Hence, the range of the given relation in the table is option C {-6,-3,0,3,6}
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HELP ME RN PLS IF YK MATH arithmetic operations and function
Answers
lol maybe like 8 or something yeah
3/4x-4=5/6 rewrite without a fraction or decimal
Answers
The solution to the given fractional equation for the unknown value of x, is 6 4/9
Fraction3/4x - 4 = 5/6
Add 4 to both sides3/4x = 5/6 + 4
3/4x = (5+24) / 6
3/4x = 29/6
Divide both sides by 3/4x = 29/6 ÷ 3/4
= 29/6 × 4/3
= (29 × 4) / (6 × 3)
= 116 / 18
x = 6 8/18
x = 6 4/9
Therefore, the solution to the given fractional equation for the unknown value of x, is 6 4/9
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A candy factory makes caramel and chocolate candies. The ratio is two to five. They make 700 pieces of candy a day.
Answers
Answer:
They make 200 pieces of caramel candies a day and 500 pieces of chocolate candies a day.
Step-by-step explanation:
Since the ratio is two to five, make it 2x + 5x = 700.
7x = 700
x=100
So, for caramel candies, 2 x 100 = 200
For chocolate candies, 5 x 100 = 500
I need help please I’ll give extra points
Answers
Answer:
The answer is A) 1 1/4, I hope it helps
Answer:
x = 5/4
answer is A
Step-by-step explanation:
M is the midpoint of RT. RS=6x+7 and ST=9x-8. find the length of RS and RT
Answers
Applying the definition of a midpoint of a segment, the lengths are:
RT = 74 units
RS = 37 units
What is the Midpoint of a Segment?The midpoint is defined as the point that bisects a line segment into two equal halves.
If M is the midpoint of RT, therefore:
RS = ST
RS = 6x + 7
ST = 9x - 8
Substitute
6x + 7 = 9x - 8
6x - 9x = -7 - 8
-3x = -15
x = -15/-3
x = 5
RT = RS + ST [segment addition postulate]
RT = 6x + 7 + 9x - 8 [substitution]
RT = 15x - 1
Plug in the value of x
RT = 15(5) - 1
RT = 74 units
RS = 6x + 7 = 6(5) + 7
RS = 37 units.
Thus, applying the definition of a midpoint of a segment, the lengths are:
RT = 74 units
RS = 37 units
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Complete the description of the piecewise function graphed below. Use interval notation to indicate the intervals.
Answers
Answers:
[-5, -2]
(-2, 3]
(3, 6]
=====================================================
Explanation:
This piecewise function is made of 3 separate functions of...
f(x) = 5 when [tex]-5 \le \text{x} \le -2[/tex]
f(x) = 4 when [tex]-2 < \text{x} \le 3[/tex]
f(x) = -3 when [tex]3 < \text{x} \le 6[/tex]
--------
The interval [tex]-5 \le \text{x} \le -2[/tex] turns into the interval notation [-5, -2]
Use square brackets to include each endpoint. Each endpoint is included because of the closed filled in points.
In contrast, the interval [tex]-2 < \text{x} \le 3[/tex] has an open hole at -2 and so it turns into (-2, 3]
A similar situation happens with the interval [tex]3 < \text{x} \le 6[/tex] to become (3, 6]
18÷ 3 2/3
Can someone help me with this q
Answers
the 45
Step-by-step explanation:
679
Answer:
54/11 (or) 4 10/11
Step-by-step explanation:
Let's solve the problem,
→ 18 ÷ 3 2/3
→ 18 ÷ (11/3)
→ 18 × (3/11)
→ 54/11 = 4 10/11
Hence, the answer is 54/11.
X
-5
1
4
6
y
9
0
-7
-1
What is the range of the given function?
{x|x=-5, 1, 4, 6)
y ly=-7, -1, 0, 9}
O {x|x=-7, -5, -1, 0, 1, 4, 6, 9}
O
y ly=-7, -5, -1, 0, 1, 4, 6, 9)
Answers
The range of the given function is {y | -7 -1 0 9}
How to determine the range of the given function?The table of values is given as:
x -5 1 4 6
y 9 0 -7 -1
List out the y values
So, we have:
y 9 0 -7 -1
The y values represent the range
So, we have
Range = {y | 9 0 -7 -1}
Order from least to greatest
Range = {y | -7 -1 0 9}
Hence, the range of the given function is {y | -7 -1 0 9}
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Tell me what order these go in
Answers
Answer:
I suppose is division multiplication subtraction then addition
Step-by-step explanation:
Which is an equivalent expression for (22 • 34)3?
Answers
The equivalent expression of the expression given as: (2^2 • 3^4)^3 is (2^6 • 3^12)
How to determine the equivalent expression?The expression is given as:
(2^2 • 3^4)^3
Expand the exponents of the above expression
(2^2 • 3^4)^3 = (2^2)^3 • (3^4)^3
Evaluate the product of exponents
(2^2 • 3^4)^3 = (2^6) • (3^12)
Rewrite the above expression as:
(2^2 • 3^4)^3 = (2^6 • 3^12)
Hence, the equivalent expression of the expression given as: (2^2 • 3^4)^3 is (2^6 • 3^12)
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the water level of a lake fell by 11/2 inches during a 12/3-week long dry spell. Find the average rate at which the water level changed every week.
Answers
Every week, the water level dropped by 1.375 inches on average rate.
The average rate is what?
The ratio of "change in the function values" to "change in the interval endpoints" is referred to as the average rate of change of a function f(x) over an interval [a, b]. Specifically, [f(b) - f(a)] can be used to get the average rate of change (b - a). The average rate of change, represented by the symbol A(x), is, in other words, the "ratio of change in outputs to change in inputs." A(x) = (change in outputs), for example (change in inputs)
based on the available facts;
Detailed explanation:
A lake's water level dropped by -11/2 inches throughout the course of a 12-week dry period.
Total fall of water level = -11/2 inches = -5.5 inches
Time of fall = 12/3 week = 4 weeks
Average rate at which water level changed every week=Total fall of water level/Time of fall
=-5.5/4
=-1.375per inch every week
Average rate at which the water level changed every week = -1.375 inches
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X. Y
-5 -4
-2 -11
1 -18
4 -25
Answers
We get the graph for the given points.
We are given the points:
X. Y
- 5 - 4
- 2 - 11
1 - 18
4 - 25
We will plot them on the graph.
In geometry, a coordinate system is a system that makes use of one or extra numbers, or coordinates, to uniquely decide the placement of the factors or different geometric factors on a manifold which include Euclidean space.
In mathematics, the graph of a function f is the set of ordered pairs, where f(x)=y.
A plane is the two-dimensional analogue of a point, a line and three-dimensional space.
Therefore, we get the graph for the given points.
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need help with homework quick!
Answers
Answer:
it is the second one(that what I learned in school)
Directions: Translate equation DO NOT SOLVE!
(8) "two times the sum of number and 5 is 20"
Answers
Answer: 2(n +5) = 20
Step-by-step explanation:
Answer:
2(n+5)=20
Step-by-step explanation:
n+5 is the sum. Two times of the sum is 2*(n+5) which is 2(n+5). This is set to equal 20.
why do i have a limit that's weird i shouldn't have a limit to something i've signed up for
Answers
Answer:
A limit on what? And what website
Step-by-step explanation:
Rewrite 19/4 as a mixed number. A 9 1/4 B 5 1/4 C 4 3/4 D 4 1/4
Answers
Answer:
C) 4 3/4
Step-by-step explanation:
19 divided by 4 doesn't divide equally.
4*5=20 X
4*4=16 YEP
19-16=3
So...
19 can be divided 4 whole times and you're left over with 3.
Thus, it's 4 3/4.
Hope this helps.
The table shows the cost of 4 movie tickets at two theaters. Theater Cost ($) Movies Galore 30 Star Cinema 31 What equation can be used to model the total cost y for x tickets at Star Cinema? Write the equation in the form
Answers
The cost of x tickets for Star Cinema is; y = 7.5x
How to create equation word problems?
From the given table, we see that;
Cost of 4 tickets at Movie Galore = $31
Cost of 4 tickets at star Cinema = $30
Thus, we can find the cost of one ticket for each of the cinema's as;
Cost per ticket for Movie Galore = 31/4 = $7.75
Cost per ticket for Star Cinema = 30/4 = $7.5
Thus, cost of x tickets for Star Cinema is;
y = 7.5x
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Answer:
Step-by-step explanation:
I REALLY NEED HELP ASAP. Yari says that the product 230×104 has four zeroes. Is she correct? In the box below, explain your answer including how patterns for multiplying by powers of 10 help determine the final answer. Show your work to support your conclusion.
I need help please. I'll mark brainliest.
Answers
Yari says that the product 230×10⁴ has four zeroes. She is incorrect.
How to calculate the value?It should be noted that from the information, Yari says that the product 230×10⁴ has four zeroes.
This will be confirmed below:
= 230 × 10⁴
= 230 × 10000
= 2300000
Therefore, the product has 5 zeros. She is incorrect.
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Complete the following table
Answers
Answer:
a)30
b) 5 to 2
c)25
Write this number in words: 1.001510512 (with decimals)
Answers
The decimal 1.001510512 when written in words is;
One and one million five hundred ten thousand five hundred and twelve hundred millionths
Write the decimal in words?
We can write decimal in words by acknowledging the fact that one part is a whole number while the other part is a fraction. For example;
20.009 in words is; Twenty and nine thousandths
8.406 in words is; Eight and four hundred six thousandths
26.0502 in words is; Twenty-six and five hundred two ten thousandths
6.5904 in words is; Six and five thousand nine hundred four ten thousandths
63.1254 in words is; Sixty-three and one thousand two hundred fifty-four ten thousandths
Thus, we can conclude that the decimal 1.001510512 when written in words is;
One and one million, five hundred ten thousand five hundred and twelve hundred millionths
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