Given △PQR≅△STU, m∠R=80°, and m∠S=70°, what is the measure of ∠Q?

Enter your answer in the box.

Answers

Answer 1

∆ PQR is congruent to ∆ STU

This means --
P = S
Q = T
R = U

R = 80°
S = P = 70°

So in ∆PQR, we know R = 80° , P = 70° and Q = ?

Using angle sum property of triangle,
P+ Q + R = 180°
70° + 80° + Q = 180°
150° + Q = 180°
Q = 30°

Hope This Helps You!

Answer 2

Congruent triangles have equal corresponding angles

The measure of <Q is 30 degrees

The given parameters are:

m∠R=80°, and m∠S=70°

△PQR≅△STU

Given that both triangles are congruent, then the measure of Q is calculated using:

Q = 180 - 80 - 70

Evaluate the difference

Q = 30

Hence, the measure of <Q is 30 degrees

Read more about congruent triangles at:

https://brainly.com/question/1675117

Related Questions

What are the coordinates of the centroid of a triangle with vertices X(−4, 0) , Y(−1, 4) , and Z(2, 2) ? Enter your answer in the boxes.

Answers

[tex]distance \: xy \: = \sqrt{( { (3)}^{2} + {(4)}^{2} ) } \\ = \sqrt{(9 + 16)} = \sqrt{25} = 5[/tex]
[tex]distance \: xz \: = \sqrt{( {(2)}^{2} + {(6)}^{2} ) } \\ = \sqrt{(4 + 36)} = \sqrt{40} \\ = \sqrt{4} \times \sqrt{10} = 2 \sqrt{10} [/tex]

The centroid of a triangle is the point where the medians of the triangle meets.

The coordinates of the centroid is (-1,2)

The coordinates of the triangle are given as:

[tex]X = (-4,0)[/tex]

[tex]Y = (-1,4)[/tex]

[tex]Z = (2,2)[/tex]

The coordinates of the centroid is:

[tex]C = \frac 13(x_1 + x_2 + x_3,y_1+y_2+y_3)[/tex]

So, we have:

[tex]C = \frac 13(-4-1 + 2,0+4+2)[/tex]

[tex]C = \frac 13(-3,6)[/tex]

Expand

[tex]C = (\frac 13\times -3,\frac 13\times 6)[/tex]

[tex]C = (-1,2)[/tex]

Hence, the coordinates of the centroid is (-1,2)

Answers

Equilateral triangle- Where each angle of the triangle is measured equally.

Scalene triangle- A triangle where all angles are unequal.

Isosceles triangle- A triangle where two angles are equal.

Right triangle- A triangle with a right angle or 90° angle.

Now your question is what is the best triangle. That is an opinion question so I can't say. But out of the triangles above you could pick which one you think is the best :)

Does tis table represent a function ?

Answers

The answer is A. This can be seen in the table where y can be both 4 and 3 for when x = 3. In a function, an output can have more than one input, but an input can have have only one output.

Answer: A function is so F(X) = Y where for every X exist only one Y, in this case you can see that F(3) = 4 and F(3) = 3, so the independent variable x = 3, has two solutions y.

So the solution is A, because a function cannot have two different y values for one x value.

which graph shows the inequality b≤-7

Answers

B) because a filled circle means the
b≤-7 mean b is "less than or equal to 7"
the arrow to the left of seven is the "less" part and the filled circle is the "equal to" part.

The function models the cost, in dollars, of a rug with width x feet. What is the cost of a rug that is 9 feet wide?

Answers

How is someone supposed to answer this there is no way of telling how much any amount of feet cost because you didn't provide any information

Estimate how many times larger 7 x 1010 is than 13 x 108.

Answers

7 x 10^10
------------- =0.5 x 10^2 = 50
13 x 10^8

answer
50 times larger

Answer:

Step-by-step explanation:

What is the difference between -5 squared and -5 parenthesis squared?

Answers

-5 is essentially -1·5

Order of operations says to do exponents first, so without parentheses -5², you would square first then multiply by -1, leaving you with an answer of -25.

However, parentheses comes before exponents in order of operations, so with parenthesis (-5)² would be 25.

Why do two negatives equal a positive when adding?

Answers

Two negatives do not equal a positive when adding. If you're in debt and you add more debt, does that get you out of debt?

Two negatives do equal a positive when you're multiplying them together though. This makes sense if you imagine multiplication as squishing or stretching a particular number on the number line. For example, imagine multiplying 2 x 1/2 as squishing the number 2 two times closer to 0. When you multiply 2 by a negative number, say, -1, you squish it so far down that you flip it to the negative side of the number line, bringing it to -2. You can imagine a similar thing happening if you multiply a number like -4 by -2. You squish -4 down to zero, and then flip it to the positive side and stretch it by a factor of 2, bringing it to 8.

18 girls out of 32 students is what percent?

Answers

18 girls represent 56.25 percent of the total number of students.

To find what percent 18 girls out of 32 students represent, you can set up a proportion comparing the number of girls to the total number of students. This proportion is represented by the fraction 18/32. To convert this fraction into a percentage, multiply it by 100.

Here's the calculation step by step:

Divide 18 by 32 to get the decimal form.

Multiply the result by 100 to get the percentage.

Performing the calculation gives:
(18/32) x 100 = 56.25%

Therefore, 18 girls represent 56.25 percent of the total number of students.

Four students wrote statements about cosecant, secant, and cotangent values as shown below.

Anik

The cosecant, secant, and cotangent of an acute angle may be greater than 1 or less than 1.

Isabella

The cosecant, secant, and cotangent of an acute angle are always greater than 1.

Kayla

The cosecant and secant of an acute angle are always greater than 1, but the cotangent can be greater than 1, less than 1 or equal to 1.

Morris

The cosecant and secant of an acute angle may be greater than or equal to 1, but the cotangent of an acute angle is always less than 1.

Which student is correct?

Answers

Answer:

c Kayla is answer

Step-by-step explanation:

Since sine lies between-1 and +1 we have cosecant, reciprocal of sin lying always outside -1 and 1.

i.e. |cosec x|>1

For acute angle sine, cos , tan are positive

So cosec x >1 and similarly since cos x <1, sec x >1 always

But tanx varies between 0 and infinity for acute angles

Hence cot can take values from 0 to infinity

Hence the correct answer is that of Kayla

The cosecant and secant of an acute angle are always greater than 1, but the cotangent can be greater than 1, less than 1 or equal to 1.

The statement about cosecant, secant, and cotangent values that is correct is Kayla's: The cosecant and secant of an acute angle are always greater than 1, but the cotangent can be greater than 1, less than 1 or equal to 1.

What is the sine of an angle?

In Trigonometry, the sine of an acute angle is a ratio of the length of an opposite side of a right-angled triangle to the length of its hypotenuse. Also, the sine of an angle generally lies between -1 and 1.

What is the cosecant (cosec) of an angle?

In Trigonometry, the cosecant (cosec) of an acute angle is a ratio of the length of its hypotenuse to the length of an opposite side of a right-angled triangle. Thus, the cosecant of an angle is the reciprocal of the sine function and as such lies outside -1 and 1.

What is the cotangent of an angle?

The cotangent of an acute angle is a ratio of the length of its adjacent side to the length of an opposite side of a right-angled triangle.

In conclusion, Kayla's statement about the values of cosecant, secant, and cotangent is correct.

Read more on cosecant here: https://brainly.com/question/23419192

How many slices of pizza will ashley buy if the price is 1.00?

Answers

need more info to complete this, how much money does Ashley have?

4 slices of pizza (gradpoint)

In quadrilateral ABDC, AB ∥ CD. Which additional piece of information is needed to determine that ABDC is a parallelogram?

AB ≅ CD
AC ≅ BD
AB ⊥ BD
CD ⊥ BD

Answers

The answer is B AC ≅ BD Since you already know that ab ll cd, all you need to know is that ac is bd

Answer:

B. AC ≅ BD

Step-by-step explanation:

Since the definition of a parallelogram literally says that it's a quadrilateral with 2 parallel sides, we have AB || CD so the 2 other sides (AC and BD) need to be either similar or parallel (either works, due to that if they're similar we can prove that since AB || CD that they're parallel).

I don’t understand 9) PLEASE HELP!!! The line y=2.5x-7

Answers

The residual of a line is the observed Y value (the numbers in the table) minus the actual value (the Y value you get when you plug in the X value into the equation)... This question is asking you to find the residuals of all the points, square them, and add them...

For example, the observed Y value for -4 is -15. When you plug in -4 into the equation, you get this:

2.5x-7
2.5(-4) -7
-10 -7
=-17

The observed Y val. is -15, while the actual (equation) one is -17. -15 -(-17) is 2. 2^2 = 4

Do this process for all of the points, the add up the squared residuals, and you'll be done!

Hope this helped!

Mario fills out an information card. His Zip code is 83628. His area code is 208. What is the value of the 2 in comparison in 83,628 and 208

Answers

83620 the 2 is in the 10s place and on 208 the 2 is in the 100s place so the 2 in 208 is 10 times bigger than the 2 in 83620 I hope i'm right sorry if your not

Final answer:

The value of the digit 2 in both 83,628 and 208 is 200 because it is in the hundreds place in both numbers. The comparison shows that the absolute value of the digit 2 is the same in both cases despite being part of different overall numbers.

Explanation:

The value of the digit 2 in the numbers 83,628 and 208 represents different values because of its position in each number, which is determined by the place value system. In the number 83,628, the digit 2 is in the hundreds place, which means it represents 200. In the number 208, the 2 is in the hundreds place as well, so it also represents 200.

However, to understand the value of the 2 in comparison between the two numbers, you must consider the whole numbers. While the value of 2 as an individual digit is the same in both cases (200), the overall values of the numbers are different. In a more complex mathematical context, when comparing values within different numbers like this, the absolute value of the digits may be the same, but their contributions to the numbers they are part of can vary based on the other digits in the number.

Nonetheless, in this comparison, the two-digit 2s both contribute the same absolute value of 200 to their respective numbers because they are both in the hundreds place.

To which place value is the number rounded 6.706 to 6.71

Answers

100th becuz it’s in that spot specifically and might as well look it up too

What's the intuition behind the equation 1+2+3+⋯=−1121+2+3+⋯=−112 ?

Answers

The sum clearly diverges. This is indisputable. The point of the claim above, that

[tex]1+2+3+\cdots=-\dfrac1{12}[/tex]

is to demonstrate that a sum of infinitely many terms can be manipulated in a variety of ways to end up with a contradictory result. It's an artifact of trying to do computations with an infinite number of terms.

The mathematician Srinivasa Ramanujan famously demonstrated the above as follows: Suppose the series converges to some constant, call it [tex]C[/tex]. Then

[tex]\begin{matrix}C&=&1&+2&+3&+4&+5&+6&+\cdots\\4C&=&&+4&&+8&&+12&+\cdots\\-3C&=&1&-2&+3&-4&+5&-6&+\cdots\end{matrix}[/tex]

Now, recall the geometric power series

[tex]\displaystyle\sum_{n\ge0}x^n=1+x+x^2+x^3+\cdots=\dfrac1{1-x}[/tex]

which holds for any [tex]|x|<1[/tex]. It has derivative

[tex]\displaystyle\sum_{n\ge1}nx^{n-1}=1+2x+3x^2+4x^3+\cdots=\dfrac1{(1-x)^2}[/tex]

Taking [tex]x=-1[/tex], we end up with

[tex]1+2(-1)+3(-1)^2+4(-1)^3+\cdots=1-2+3-4+\cdots=\dfrac14[/tex]

and so

[tex]-3C=\dfrac14\implies C=-\dfrac1{12}[/tex]

But as mentioned above, neither power series converges unless [tex]|x|<1[/tex]. What Ramanujan did was to consider the sum [tex]1-2+3-4+\cdots[/tex] as a limit of the power series evaluated at [tex]x=-1[/tex]:

[tex]\displaystyle-3C=\lim_{x\to-1^+}\sum_{n\ge1}nx^{n-1}=\lim_{x\to-1^+}\frac1{(1-x)^2}=\frac14[/tex]

then arrived at the conclusion that [tex]C=-\dfrac1{12}[/tex].

But again, let's emphasize that this result is patently wrong, and only serves to demonstrate that one can't manipulate a sum of infinitely many terms like one would a sum of a finite number of terms.

2000 geometry question im i correct

Answers

yes you are because I got the same.

Angle F is opposite the segment with one tick mark

Angle B is opposite the corresponding segment with a single tick mark.

This means angle B = angle F = 40 degrees

Side Note: we use SAS to prove the triangles congruent; then use CPCTC to find values of corresponding parts

Ryan made 4 identical necklaces, each having beads and a pendant. the total cost of the beads and pendants for all 4 necklaces was $18.80 . if the beads cost a total of $9.20 , how much did each pendant cost?

Answers

Write an equation to show all elements:

Cost of 4 lots of b (beads) + cost of 4p (pendants) = $18.80

Put values in;
9.29 + 4p = 18.80
4p = 18.80 - 9.20
4p = 9.60
p = 2.40 cost of each pendant

There are 4,315 pistachios in the bulk bin at the grocery store. Maria wants to split the pistachios into 40 packages so that each package has the same number of pistachios with none left over. Which explains whether or not it is possible?

Answers

divide total number by number of packages

4315 /40 = 107.875

it is not possible because it doesn't divide evenly

I need help with an Exponential Growth & Decay Word Problem. This is the problem: Mr. Jacobs won $1,000,000 in the lottery. He withdraws 10% of the money every year. How much money will he have left after 20 years? [Round your answer to the nearest dollar]

Answers

Remember that for decay A=P(1-r/100)^n
A=end amount
P=principal (initial) amount
R=rate
n=time (in this case, years)
For growth it is A=P(1+r/100)^n

Solve showing all work, simplify completely: 6/12+1/3

Answers

i honestly have the same question help!!

There are 105 members of the high school band. Of these members, 1/5 play percussion instruments. How many members play percussion?

Answers

21 percussion players

Let f(x) = 2x2 − 2x + 7 and g(x) = x2 + 9x − 6. find f(x) − g(x). (1 point) x2 − 11x + 13 x2 − 11x + 1 x2 + 7x + 1 x2 + 7x + 13

Answers

f(x)-g(x)
=2x^2-2x+7-(x^2+9x-6)
=2x^2-2x+7-x^2-9x+6
=x^2-11x+13
First option

Answer:

[tex]x^2-11x + 13[/tex]

Step-by-step explanation:

Let [tex]f(x) = 2x^2 - 2x + 7[/tex] and [tex]g(x) = x^2 + 9x - 6[/tex]

We need to find f(x)- g(x)

Replace f(x) and g(x). then subtract the expressions

[tex]f(x)-g(x) =(2x^2 - 2x + 7)- (x^2 + 9x - 6)[/tex]

Remove the parenthesis and multiply negative sign inside second parenthesis

[tex]2x^2 - 2x + 7- x^2 - 9x + 6[/tex]

Combine like terms

[tex]x^2-11x + 13[/tex]

Given that line bd is both the median and altitude of triangle abc, congruence postulate sas is used to prove that triangle abc is what type of triangle

Answers

isosceles triangle

hope this helps :)

Answer:

Triangle ABC is an isosceles triangle.

Step-by-step explanation:

Let AD represent both the median and altitude of triangle ABC.

A median divides the side in two equal parts so BD=BC.

An altitude is a perpendicular drawn .A perpendicular makes an angle of 90°. Hence <ADB=<ADC=90°

AD is the side common to both the triangles ADB and ADC.

Hence Δ ADB≅ΔADC by SAS congruence postulate.

So AB=AC by c.p .c .t.c(congruent parts of congruent triangles are congruent)

Hence by definition of Isosceles triangle ΔABC is an isosceles triangle.

Please help! Need to pass a module test!

What is the equation of the line, in slope-intercept form, that contains the points (−1, 8) and (2, −1)?

y = −3x + 5
y = −x + 5
y = x + 5
y = −x + 3

Answers

-1 - 8 / 2 + 1 = -9 / 3 = -3

-1 = -3(2) + b
-1 = -6 + b
Add 6 to both sides.
5 = b

y = -3x + 5

First, you need to find the slope (m) =3 and your slope intercept form being y=mx+b; look for the one that says y=3x+__. don't use this every time because there could be T that say it.

What is the product (2x-1)(x+4)

Answers

You're product is:

Do the foil method: FOIL, First Outside Inside Last

2x² +8x - 1x -4

2x² + 7x - 4 is your answer

hope this helps

20 point to whoever answers first

What is the MEDIAN of may's temperatures

A. 72

B. 61

C. 71

D. 74

Answers

total the temperatures given

total = 497

divide by how many they gave (7)

497 / 7 = 71

answer is C 71 degrees

Answer:

Step-by-step explanation:

497 / 7 = 71

An employee contributes $75 each month to her 401(k). What will be the value of her 401(k) after the 240th deposit (20 years) if the per annum rate of return is assumed to be 12% compounded monthly?

Answers

The value of her 401(k) will be 2,160 compounded monthly.

Final answer:

To calculate the value of the 401(k) after 240 deposits (20 years), you can use the formula for compound interest. Using the formula A = P(1 + r/n)^(nt), where A is the future value, P is the principal investment, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years, you can plug in the values to find the answer.

Explanation:

To calculate the value of the 401(k) after the 240th deposit, we can use the formula for compound interest:

Formula: A = P(1 + r/n)^(nt)

Where:

A is the future value of the investmentP is the principal investment ($75 per month)r is the annual interest rate (12%)n is the number of times the interest is compounded per year (12 times for monthly compounding)t is the number of years (20 years)

Using these values, the formula becomes:

A = 75(1 + 0.12/12)^(12*20)

Calculating this expression will give us the value of the 401(k) after 20 years.

FIFTHEEN POINTS BC I NEED THIS ASAP =
Billy is making a juice that contains 3 quarts of water, 1 quart of grape juice, 1 quart of orange juice, and 2 quarts of strawberry juice. He is putting his homemade juice into a jug that can hold 2 1⁄2 gallons. How many more quarts of juice can Billy still make before filling the jug?

Answers

3 more quarts of will fill the 2 1/2 gallon container

Round 35.78 to the nearest whole second

Answers

Round 35.78 to the nearest whole second
Answer: It is closer to 36 than it is to 35. So 36

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Given △PQR≅△STU, m∠R=80°, and m∠S=70°, what is the measure of ∠Q? Enter your answer in the box.

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Given △PQR≅△STU, m∠R=80°, and m∠S=70°, what is the measure of ∠Q?

Enter your answer in the box.