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.
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Related Questions
Bill can hit a bucket of 32 golf balls in 17 hours.
How much could he hit in 23 hours
Answers
17x = 32
x = 1.882
23x = 23 x 1.882 = 43.286 = 43 balls
Kenson and Shelly are each saving money.
• Kenson has $60 in savings and will save an additional $12 every week.
• Shelly has $85 in savings and will save an additional $7 every week.
Which equation can be used to determine w, the number of weeks it will take Kenson and Shelly to save the same amount of money?
A. 720 + 60w = 595 + 85w
B. 7w + 595 = 12w + 720
C. 60 + 7w = 85 + 12w
D. 60 + 12w = 95 + 7W
Answers
Answer:
D.
Step-by-step explanation:
D. 60 + 12w = 95 + 7W
Which word signals a sequence text structure?
both
finally
similarly
since
Answers
Answer:
its finally sorry it tooke so long
Step-by-step explanation:
Answer:
The answer is finally.
Step-by-step explanation: Both would be a compare and contrast text structure and so would similarly. Since would be a cause and effect text structure so the answer has to be finally. You can also tell because it is using key clues like then, after, and finally.
• Lawson already has $60 in his wallet but needs a total of at least $500 for his holiday. He gets
paid $30 per day for delivering newspapers. What is the least number of days he must work to
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Answers
Answer:
15
Step-by-step explanation:
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A company ships 26 refrigerators in a truck Each refrigerator weighs 309 pounds. What is the total weight of the refrigerators in the truck?
O 2,472 pounds
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O 8,034 pounds
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Answers
Answer:
8034
Step-by-step explanation:
C'mon!!.... easyyyy
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2/5
0.84
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Answers
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please help me with this.
Answers
Answer:
I think ans-d is the answer
Step-by-step explanation:
plz mark me as brainlist
How do you write -4.50 as a mixed number
Answers
Answer:
-9/2
Step-by-step explanation:
What Is The Slope Of the Line
Answers
Answer:
2/2.5 or 3/4 I pretty sure that's right
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3:1650
6:3300
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-1/10 divided by 1/6
Answers
[tex]-0.6[/tex]
For more help, Take a look at this chart.
Answer:
-3/5
Step-by-step explanation:
-1/10 divided by 1/6
-1/10 x 6/1
-6/10 the divided by 2
-3/5
Absolute value is DISTANCE. How many units a number is away from zero.
a.) 3
b.)4
C.) -3
d.) -4
Answers
I believe it is B) 4
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Can someone please help me?
Answers
Answer:
4
Step-by-step explanation:
It is 4 because there are 4 pea pods with 3 peas in each pod.
Answer:
2
Step-by-step explanation:
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Answers
Answer:
= 1 7/12
Step-by-step explanation:
6 1/2 - 4 11/12 =
6 6/12 - 4 11/12 =
5 18/12 - 4 11/12 =
=1 7/12
To check if the answer is right or wrong, you can add 1 7/12 to 4 11/12
4 11/12 + 1 7/12 = 5 18/12 = 6 6/12 = 6 1/2
Hope this helps and pls do mark me brainliest if you can:)
Simplify the following expression,
(5^2)^-1
Answers
A statement that two ratios are equal is called a
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The answer is proportion. A proportion basically equates two ratios.
A statement that two ratios are equal is called a proportion.
In a proportion, the four quantities involved are related in such a way that the first ratio is equal to the second ratio. It can be represented in the form of "a:b = c:d," where "a" and "b" are the terms of the first ratio, and "c" and "d" are the terms of the second ratio.
Proportions are used in various mathematical applications, such as solving problems involving ratios, scaling, similarity, and solving for unknown values. They provide a way to compare quantities and establish relationships between them based on their relative sizes.
Learn more about ratio here
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You bought 12 red apples and 15 green apples to make a pie.
What is the ratio of the number of red apples to the total number of apples?
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Answers
Answer:
12 over 27 = 4 over 9
Step-by-step explanation:
12 over (12 + 15) = 12 over 27 = 4 over 9
OMG Help Me !Select all the correct answers. Which tables represent constant functions? Pick 2 and show your work. No guessing.
x y
2 -1
2 0
2 1
x y
2 -3
4 -7
6 -11
x y
2 3
4 3
6 3
x y
1 3
2 12
3 27
x y
1 -1
2 -1
3 -1
Answers
Tables 1 and 2 because they move at a constant rate of change and they are linear functions with a slope.
Table 3 is not a function because there is more than one input for each output.
Table 4 is an exponential equation with the equation y = 4x^2
Table 5 is not a function for the same reason as table 3.
Answer:
Yes! The answer is A and B. Or the 1st and 2nd ones.
Step-by-step explanation:
Solve the equation 3x + 4y = 16 for x.
O A x V 16
B. x=3(16-4)
O c. x = 16 - 4y
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Answers
3x-4y=16
add 4y to both sides
3x=4y+16
divide both sides by 3
x=(4y+16)/3
What is the measure of Angle 1 in this figure?
A. 30°
B. 80°
C. 110°
D. 130°
Answers
Answer:
A
Step-by-step explanation:
D. 130
how do you convert fractions to decimals?
Answers
Answer:
divide the fractions
Step-by-step explanation:
lets say we have 23/5
we can divide 23 by 5 and get a decimal of 4.6
or lets say we got 1/5
divide 1 by 5 and you will get 0.2
A pack of 8 pairs costs 9:80. What is the cost of one pair of socks?
Answers
Answer:
1 1/2
Step-by-step explanation:
Answer:
$1.26
Step-by-step explanation:
9.80/8 = 1.22500
1.22500 rounded up = 1.26
A landscaper is planting a row of 10 shrubs along the walkway shown below. There must be one shrub at the very beginning and one shrub at the very end, and the shrubs in between will be equally spaced along the length of the walkway. Which equation can the landscaper use to find the distance d, in feet, to leave between the shrubs?
Answers
Answer:
[tex]9d = 36[/tex]
Step-by-step explanation:
See attachment for complete question
[tex]Length = 36ft[/tex]
[tex]n = 10[/tex]
From the question, we understand that one shrub must be at both ends.
Taking the first as a point of reference, we're left with:
[tex](n - 1) * distance = 36[/tex]
Substitute 10 for n and d for distance
[tex](10 - 1) * d = 36[/tex]
[tex]9 * d = 36[/tex]
[tex]9d = 36[/tex]
Hence:
[tex]9d = 36[/tex] answers the question
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.
Solve for I.
-30 = 5(x + 1)
Answers
Answer:
x or I=-7
Step-by-step explanation:
Geraldine is asked to explain the limits on the range of an exponential equation using the function f(x) = 2x. She makes these two statements: 1. As x increases infinitely, the y-values are continually doubled for each single increase in x. 2. As x decreases infinitely, the y-values are continually halved for each single decrease in x. She concludes that there are no limits within the set of real numbers on the range of this exponential function. Which best explains the accuracy of Geraldine's statements and her conclusion?
Answers
Answer:
"as x increases infinitely, the y-values are continually doubled for each single increase in x".
Step-by-step explanation:
Given the exponential equation f(x) = 2x of which Geraldine is asked to explain the limits on the range, the expression that best explains the accuracy of Geraldine's statements and her conclusion is that "as x increases infinitely, the y-values are continually doubled for each single increase in x".
for example let y = f(x) so thet y = 2x
for every va;ues of x, y will be doubled as shown;
If x = 1
y = 2(1) = 2
If x = 2
y = 2(2) = 4
If x = 3
y = 2(3) = 6
I can be seen that the value of y doubles for all values of x hence making her first statement accurate.
The second statement 'As x decreases infinitely, the y-values are continually halved for each single decrease in x'. is not totally right because the y values may not be halved for some values of x as x increases.
Her conclusion is not also right because there are limits within the set of real numbers on the range of this exponential function. for every value of x, y will always tend to a real value.
I dont understand this, plz help, will mark Branliest!
Solve for x: −3|x + 7| = −12 (2 points)
x = 5 over 3 , x = − 19 over 3
x = −3, x = −11
x = −3, x = 11
Answers
Work:
-3(x+7)=-12
-3x - -21= -12
-21 + -12= -33
-33/-3 = 11
PLEASE HURRY, MARKING BRAINLIEST.
Solve for the value of x that makes lines a and b parallel.
Answers
You set the equations equal and then solvep
Answer:
x=16
Step-by-step explanation:
if the lines were parallel then that means that (7x+2) = (8x-14) because they are corresponding angles. just isolate the varible so subtract 7x from both sides and add 14 to both sides. and they you get x=16
can someone explain to me how to do this
Answers
Answer:
x=45
Step-by-step explanation:
We know that 2y+6 and 8y-102 are vertical angles to each other. This means that 2y+6=8y-102. [tex]6y=108[/tex], which means that y=18. [tex]2\cdot(18)+6=36+6=42[/tex]. Since one line is a straight angle, it is 180 degrees we can do [tex]3x=180-45=135[/tex], so x=45.
Answer:
y = 18
x = 46
measures of the angles:
8y - 102 = 42
2y + 6 = 42
3x = 138
Step-by-step explanation:
So first remember the verticle angles theorem, which states that, when two lines intersect there will be four angles formed; the angles that are opposite from each other will be congruent, that is, they will have the same measure.
Using this we know that opposite angles have to be congruent:
so
(2y + 6) = (8y -102)
now there is an algebra equation that can be solved by inverse operations and simplifying
2y + 6 = 8y - 102
+102 +102
2y + 108 = 8y
-2y -2y
108 = 6y
/6 /6
18 = y
Also, remember that two adjacent angles that form a line will add up to 180,
so
3x + (2y + 6) = 180
*note: I could have also used (8y - 102) but I choose to use (2y + 6)
so now substitute in the value of y that was found
y = 18
3x + (2 * 18 + 6) = 180
simplify
3x + ( 36 + 6) = 180
3x + 42 = 180
now use inverse operations
3x + 42 = 180
-42 -42
3x = 138
/3 /3
x = 46
If f(x) = 2x2 + 5x - 8 and f(x) = -10,
which of the following could be a
value for x?
-2
Answers
Answer:
x = -2 or x = -1/2
Step-by-step explanation:
We can just set up an equation where the quadratic is equal to -10, and then solve the equation:
[tex]2x^2+5x-8=-10\\2x^2+5x+2=0\\\\[/tex]
Now, factor:
[tex](2x+1)(x+2) = 0\\x=-2 \text{ or } x=-1/2[/tex]