The rhombus QRST is made of two congruent isosceles triangles. Given angle QRS = 34, what is the measure of angle S?
Answers
Answer:
146
Step-by-step explanation:
Since we know that this is a rhombus, we know that opposite angles must be equal to each other. This means that angle QTS is equal to angle QRS. Therefore angle QTS also equals 34.
Now, we also know that all the interior angles in a quadrilateral add up to 360. We can subtract 360-34-34=292.
Now we know that the remaining two angles S and Q need to add up to 292. We also know that they are equal because they are opposite angles. Therefore, we can solve the equation 292÷2=146. Each of these angles is 146. So the measure of angle S is 146.
The measure angle of S is 146 .
A rhombus is a special case of the parallelogram and is a quadrilateral with four equal sides. In a rhombus, the opposite sides are parallel and the opposite angles are equal. Also, all the sides of the rhombus are equal in length and the diagonals bisect each other at right angles. The rhombus is also known as a diamond.
By symmetry ;
This means that m∠QTS is equal to m∠QRS. Therefore ∠QTS is also equals 34.
We also know that The common property for all the above four-sided shapes is the sum of interior angles is always equal to 360 degrees. For a regular quadrilateral such as square, each interior angle will be equal to: 360/4 = 90 degrees.
Now we know that the remaining two angles S and Q need to add up to 292.
= 360 -34 -34= 292
We also know that they are equal because they are opposite angles.
Therefore, we can solve the equation,
[tex]\frac{sum of two opposite angle}{2}[/tex] = [tex]\frac{292}{2}[/tex] = 146
Each of these angles is 146.
So the measure of angle S is 146.
For the more information about properties of rhombus click the link given below.
https://brainly.com/question/4115340
Related Questions
Question is on a picture
Answers
Answer: -9
Step-by-step explanation:
When you plug in the numbers you get the equation 4* (-6) + 5*3
When you solve it out you get -24 + 15. This equals -9.
The difference between four times a number and six is -46
Answers
Answer: 4x-6=-46
4x-6=-46
Pls help me!!!!!!!!!!!
Answers
Answer:
1) y-4+1(x-5)
Step-by-step explanation:
With point-slope form, you just have to substitue the information that is given to you into the generic formula.
y-y1= m(x-x1)
so the y1 is the y value of the point that is given to you and x1 is the x value of the point that is given to you
m is the slope (also given)
and x and y just stay the same; x &y
HELP WHOEVER IS FIRST GETS BRAINLIST!!!
Answers
Answer:
y = (-2/5)x + 3
Step-by-step explanation:
(2/5)x + y = 3
y = (-2/5)x + 3
Can someone help me with this math question? First to answer will get Brainliest! :)
Answers
Answer:
A
Step-by-step explanation:
yiu have to rotate it in order to make that
In the video game Stunt Pilot, players gain and lose points based on how well they perform tricks in their airplanes. Kirk had 33 points in the game before getting – 18 points for losing control of his plane during a stunt. What is Kirk's score now?
Answers
Answer: 15
Step-by-step explanation: Well first you have to minus 33-18=15
Convert y = x2 - 4x + 1 to vertex form by completing the square.
O y= (- 1)2 + 4
O y= (1 - 2)2 +5
O y= (x - 2)2 – 3
O y = (x - 4) + 1
Answers
Answer:
vertex: (-2, -3)
Step-by-step explanation:
y = x2 + 4x + 1
y = x2 + 4x + 22 + 1 - 22
y = (x + 2)2 + 1 - 4
y = (x + 2)2 - 3 in y = (x - h)2 + k, (h, k) is the vertex.
Answer:
y = (x - 2)² - 3
Step-by-step explanation:
Given
y = x² - 4x + 1
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 4x
y = x² + 2(- 2)x + 4 - 4 + 1
= (x - 2)² - 3
Which of the following equations has a solution of x = 5
10x/2=1
2 (x – 3) + 8 = 6x – 18
2x – 5 + 3x = 8 + 14
O 4(1 - 2) + 3 = -2 (2 + 2) + 1
Answers
Answer:
equals 345762819
Step-by-step explanation:
i dont know for short i just want a points
heyyy so like hellpppp me out
Answers
Answer:
gotta be C
Step-by-step explanation:
m= 4/5 - 2/5
————- = ?
-1 - -2
Answers
Answer:
2/5 = 4/5 - 2/5 = m
There are 5 number cards labeled 1 through 5. What is the probability and its complement of randomly drawing a card from this set that is more than 47
Answers
Answer:
impossible you cant get one that is over 5 if it only goes to 5
Step-by-step explanation:
can someone plz help me with dos plz
Answers
Answer:
44,62, and where is E
Step-by-step explanation:
Part (i)
Angle DBA = 44--------
Reason:
Angle CBA is a right angle (thales theorem), so angle DBA must add to DBC to get 90 degrees. In other words, we solve x+46 = 90 to get x = 44.
============================================================
Part (ii)
Angle DAC = 46--------
Reason:
Both inscribed angles DAC and DBC subtend the same arc (minor arc DC), so the inscribed angles are congruent.
============================================================
Part (iii)
Angle BCE = 74--------
Reason:
Angle BDC is 28 degrees since angle BAC is also 28 degrees (similar reasoning as part ii above). Let y = angle BCD
Focus on triangle BCD. The three interior angles add to 180
B+C+D = 180
46+y+28 = 180
y+74 = 180
y = 180-74
y = 106
Then subtract 180 from this to get the exterior angle BCE
angle BCE = 180-(angle BCD)
angle BCE = 180-y
angle BCE = 74
Or as a shortcut, you could use the remote interior angle theorem
angle BCE = (angle BDC) + (angle DBC)
angle BCE = (28) + (46)
angle BCE = 74
What is the solution for the system of equation
Y=-2x+8 y=x-4
Answers
Answer:
(x , y) = (28/5 , 8/5)
Step-by-step explanation:
Answer:
Step-by-step explanation:
(x , y) = ( 28/5 , 8/5 )
1
Mr. Baker calculated the area of 4 different styles of rugs. The areas of the 4 rugs are shown.
OS
MARULUGARES PARA
P
ALETICO
ZORLUFERITY
A = 50 m2
A5 m2
A = 2 m2
A = 15 m2
Whlch list shows the rugs in order from least area to greatest area?
A
Oval Rug, Square Rug, Circular Rug, Rectangular Rug
B Oval Rug, Square Rug, Rectangular Rug, Circular Rug
C Square Rug, Oval Rug, Rectangular Rug, Circular Rug
D
Circular Rug, Rectangular Rug, Square Rug, Oval Rug
Answers
can someone help me solve this system. thanks
2y = 6
3(x + y) = 12
Answers
Answer
y=3 x=1
Step-by-step explanation:
3(x+3)=12
3x+9=12
subtract 9 from both sides to get...
3x=3
divide 3 from both sides to get...
x=1
Step-by-step explanation:
this is very easy
2y=6
y=2/6=3
so ,
3(x+y)=12
3x+3y=12
3x+3+3=12
3x+9=12
3x=12-9
3x=3
x=3/3
x=1
give the numerical coefficient of the term x
the numerical coefficient is?
Answers
Answer:
1
Step-by-step explanation:
The numerical coefficient of every variable with no visible coefficient in front of it is always 1, since 1 multiplied by a number (or variable) is itself.
Find the midpoint of a line segment whose endpoints are (-14, 4) & (6,12)
(-1,5)
(-4,4)
none of these
(1/2,2)
(5,1)
Answers
What is X? −2(x−6)= x+5
Answers
Answer:
x=-1
Step-by-step explanation:
-2(x-6)=x+5
-2x-(-12)=x+5
-2x+12=x+15
-2x -----^
x+2x=3x
+15 turns into minus 15
12-15= -3
-3=3x
-1=x
Answer: 7/3 or 2.333333333
Step-by-step explanation:
Distribute -2 to x and -6
-2x + 12 = x + 5
Subtract x from both sides
-3x + 12 = 5
Subtract 12 from both sides
-3x = -7
Divide -3 from both sides
X= 7/3 or 2.333333333
PLEASE ANSWER FAST
A principal spent $1560 total on "c" calculators for his school. Which
expressions shows the cost of ONE calculator.
A. c+ 1560 B. 1560c C. 1560- c D. 1560/c
Answers
Answer:
1560/c
Step-by-step explanation:
if you divide 1560 by c the value you get will be the cost of one calculator.
Answer:
The answer is D. 1560/c
Step-by-step explanation:
If you divide 1560 by c you will get the cost of one calculator.
Refer to the given sets information Y U Z
Answers
Answer:
i hate biden
Step-by-step explanation:
Why do people think maths as a hard subject
Do you feel math is hard
Answers
A rectangle has a length of 64 cm. The rectangle is reduced by a scale factor of 3/4. What is the length of the reduced rectangle?
Answers
Answer:
48 cm
Step-by-step explanation:
64 divided by 4 is 16. multiply 16 by 3 and the answer is 48.
If you roll two six-faced dice together, you will get 36 possible outcomes. 4 pts 1. List all possible outcomes of the experiment. 2 pts 2. What is the probability of getting a sum of 11 in these outcomes? 2 pts 3. What is the probability of getting a sum less than or equal to 4? 2 pts 4. What is the probability of getting a sum of 13 or more?
Answers
Given:
Two dice are rolled together.
Total number of possible outcomes.
To find:
The list of total possible outcomes.
The probability of getting a sum of 11 in these outcomes.
The probability of getting a sum less than or equal to 4.
The probability of getting a sum of 13 or more.
Solution:
If two dice are rolled together, then the total number of possible outcomes is 36 and list of total possible outcomes is
S = {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}
Sum of 11 in these outcomes = {(5,6),(6,5),(6,6)} = 3
The probability of getting a sum of 11 in these outcomes is
[tex]P(\text{sum=11})=\dfrac{3}{36}[/tex]
[tex]P(\text{sum=11})=\dfrac{1}{12}[/tex]
Therefore, the probability of getting a sum of 11 in these outcomes is [tex]\dfrac{1}{12}[/tex].
Sum less than or equal to 4 = {(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)} = 6
The probability of getting a sum less than or equal to 4 is
[tex]P({sum\leq 4})=\dfrac{6}{36}[/tex]
[tex]P({sum\leq 4})=\dfrac{1}{6}[/tex]
Therefore, the probability of getting a sum less than or equal to 4 is [tex]\dfrac{1}{6}[/tex].
Sum of 13 or more = empty set because maximum sum is 12.
The probability of getting a sum of 13 or more is
[tex]P(sum\geq 13)=\dfrac{0}{36}[/tex]
[tex]P({sum\geq 13})=0[/tex]
Therefore, the probability of getting a sum of 13 or more is 0.
A study showed that the ratio of the number of people who gets there news from social media to the number of people who got there news from other sources is 3 : 7 based on the ratio, how many people in a town of 900 people get there news from social media
Answers
Answer: 270 people
Step-by-step explanation:
Since the ratio of the number of people who gets there news from social media to the number of people who got there news from other sources is 3 : 7. This can be expressed in a fraction as:
Fraction of people who gets there news from social media = 3/10
Fraction of people who got there news from other sources = 7/10
If there are 900 people, number of people who gets there news from social media will be:
= 3/10 × 900
= 3 × 90
= 270 people
What is the equation of the line that passes through the points (−2,4) and (0,3)?
Answers
Answer:
y=-1/2x+3
Step-by-step explanation:
In a figure, such as a triangle or parallelogram, this is used to refer to the
length of one side.
Answers
Answer:
The hypotenuse is the side opposite the right angle, or defined as the longest side of a right-angled triangle,
Step-by-step explanation:
when y= 4x, if y= 36, what is x?
Answers
Answer:
x=9, hope I helped :P
Renting a small moving truck for a day costs $29.95 plus $0.79 per mile that the truck is driven. Ms. Knowles rented a truck for one day and paid $91.57. The equation 29.95 + 0.79d = 91.57 can be used to model this situation. Choose True or False for each statement. A) The variable d represents the number of miles Ms. Knowles drove. B) The term 0.79d represents the charge in dollars for the distance driven. C) You can isolate the term 0.79d by adding 29.95 to both sides of the equation.
Answers
Given:
Renting a small moving truck for a day costs $29.95 plus $0.79 per mile that the truck is driven. Ms. Knowles rented a truck for one day and paid $91.57.
The equation is
[tex]29.95 + 0.79d = 91.57[/tex]
To find:
Whether the statement are true or false.
Solution:
We have,
[tex]29.95 + 0.79d = 91.57[/tex]
Here,
Fixed cost = 29.95
Variable cost = 0.79d, it depends on the number of miles Ms. Knowles drove.
So, the variable d represents the number of miles Ms. Knowles drove. Hence, statement A is true.
The term 0.79d represents the charge in dollars for the distance driven. Hence, statement B is true.
You can isolate the term 0.79d by subtracting 29.95 from both sides of the equation.
Hence, statement C is false.
Please help me solve this problem!
Answers
Answer:
The line would be a diagonal line that is negative(pointing down).
You can use Desmos Graphing Calculator to help you even more! :)
there are 11 pieces of pie left over in the cafeteria. if the 6 pieces are apple and 5 are cherry , what fraction of the remaining are apple
Answers
Answer:
6/11
Step-by-step explanation: If not this try 12/22
This is because 11 is the denominator and both 5 and 6 are numerators. If you were to ask for what the fraction of remaining pie would be cherry, then you would say 5/11