Diagonals of rhombus pqra intersects at o. find (m<opq + m<oqp).
Answers
Answer:
→ [tex]90°[/tex]
Step-by-step explanation:
Given that
PQRS is a rhombus
The diagonals PR and QS intersects at O
We know that
In a rhombus the diagonals bisects at each other at 90°
So,
In ∆ POQ,
∠ POQ + ∠OPQ + ∠OQP = 180°
➜ 90° + ∠OPQ + ∠OQP = 180°
➜ ∠OPQ + ∠OQP = 180° -90°
➜ ∠OPQ + ∠OQP = 90°
Therefore, the measure of ∠OPQ + ∠OQP is 90°.
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Similar Questions
In a rhombus ABCD, m∠A = 31°. Point O is a point of intersection of diagonals. Find the measures of the angles of triangle ΔBOC.
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Related Questions
What is the inverse of the function f(x) =√x-2
Answers
Mrs. Jones knows how to use texting, instant messenger, emailing,
calling, and mailing letters to communicate with her students. She must select
2 method of communication out of the 5 to send her students an important
message. In how many ways can she choose the communication method?
Answers
Answer:
6869
Step-by-step explanation:
On a certain hot summer's day, 294 people used the public swimming pool. The daily prices are for $1.75 children and for $2.25 adults. The receipts for admission totaled $635.50 How many children and how many adults swam at the public pool that day?
Answers
Answer:
a = 242 adult and c = 52 children
Step-by-step explanation:
Solving as a system of equations.
a = adult
c = children
The adult and the children equal 294 people
a + c = 294
adult cost is 2.25 per adult
Total amount of adult is 2.25a because the number of adult are not given.
children cost is 1.75 per children
Total amount children is 1.75c because the number of children are not given
Total receipts $635.50.
a + c = 294 multiply by -1.75 -1.75a - 1.75c = - 514.50
2.25a + 1.75c = 635.50 does not change 2.25a + 1.75c = 635.50
Add these equations together
-1.75a - 1.75c = - 514.50
2.25a + 1.75c = 635.50
.50a = 121.00
a = 121.00/.50a
a = 242 adult
a + c = 294
242 + c = 294
c = 294 - 242
c = 52 children
Check: $2.25(242) + $1.75( 52) = $635 .50
$544.50 + $91.00 = $635.50
$635.50 = $635.50
x=-5y+2
x=3y-2
elmantion or substutuion
Answers
Answer:
y = 1/2
Step-by-step explanation:
x = -5y+2
x=3y-2
substitute for x ans solve
3y-2=-5y+2
8y-2=2
8y = 4
y= 4/8
y=1/2
determine the measurement of segment XV
Answers
Answer:
Segment XV is equal to 24 mm
Step-by-step explanation:
Both triangles are clearly congruent, both having the same type of angles as well as angle LKJ and angle VKW having the same angle measure, 21 degrees. Lastly, if you were to take out segment JL and WV, the triangles would fold the same. All of this leads to segment XV being the same as segment KL which leads it to be 24 mm. (Sorry if this is confusing, just trying to explain how my brain understood the problem. If you need me to elaborate more let me know).
Solve the equation 3x^2 - 2x - 10 = 0 . Show all your working and give your answers correct to 2 decimal places.
Answers
Answer:
[tex]x=-1.52,2.19[/tex]
Step-by-step explanation:
Hi there!
[tex]3x^2 - 2x - 10 = 0[/tex]
Use the quadratic formula:
[tex]x=\displaystyle\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex] in the form [tex]ax^2+bx+c=0[/tex]
Plug in the a, b and c values
[tex]x=\displaystyle\frac{-(-2)\pm\sqrt{(-2)^2-4(3)(-10)} }{2(3)}\\\\x=\displaystyle\frac{2\pm\sqrt{4+120} }{6}\\\\x=\displaystyle\frac{2\pm\sqrt{124} }{6}\\\\x=\displaystyle\frac{2\pm2\sqrt{31} }{6}\\\\x=\displaystyle\frac{1\pm\sqrt{31} }{3}\\\\x=-1.52,2.19[/tex]
I hope this helps!
with complete solution please I need Thanks
Answers
Answer:
14
Step-by-step explanation:
We can make this and equation
x • y = 1260
x = 3y +48
Our equation is
(3y +48)y = 1260
We get y = 14
Solve for x:
x+1/4 = 5/8
STEP 1: Cross multiply and write the new equation: ________
STEP 2: Add/Subtract on both sides and write the new equation: _______
STEP 3: Divide both sides of the equation and write the solution:
x = ________
Answers
Answer:
x = 3/8
Step-by-step explanation:
[tex]x + \dfrac{1}{4}=\dfrac{5}{8}\\\\\dfrac{4x + 1}{4}=\dfrac{5}{8}[/tex]
Cross multiply,
8*(4x +1) = 5*4
8*4x + 8*1 = 20
32x + 8 = 20
Subtract 8 from both sides
32x = 20 - 8
32x = 12
Divide both side by 32
x = 12/32
x = 3/8
When solving an equation, Tina gets to the last of line of her work and is left with "7=7." What does this mean?
A
The solution is 7
B
There is infinite solutions.
С
There is only one solution
D
There is no solution.
Answers
Answer:
B , there are infinite solutions.
Step-by-step explanation:
If you end an equation with a true statement, such as 0 = 0, then any value of the variable(s) you are solving for will satisfy the equation. This means that there are infinite solutions.
RE
Which graph represents the function f(x) = -X2 + 5?
N
10-
8-
6
2
o
-10 -56-4
ca
M
4
6
8
10
X
do ou
Answers
Answer:
I can't interpret the data the way it is presented. Are there two columns? I'll assume "-x2" is really "-x^2."
I've attached a plot of the function. Check to see which of your points fall on the line.
Step-by-step explanation:
y = -x^2 + 5
help will reward brainly
Answers
Answer: Positive but I might be wrong I haven't done slopes in a while
Step-by-step explanation:
If it were negative, it would go the opposite way
a man earn $6 in two hours. how much does he earn in 5 hours
Answers
Answer:
$15
Step-by-step explanation:
6 divided by 2 is 3
3 multiplied by 5 is 15
Find the slope of the line passing through the points (5,9) and (5, - 7)
Answers
Answer:
9/11
Step-by-step explanation:
Please help
4(x+8)+2=1/2(8x+60)
Answers
Answer:
This is a contradiction
HELP PLEASE!!!
Identify a point and two x intercepts to write the x-intercept form equation of each parabola.
Answers
x intercepts are 5 and 7
The third point I used was (6,-2); however, you can use any other point you want as long as it's not one of the x intercepts mentioned.
==========================================================
Explanation:
The x intercepts are 5 and 7, where the parabola crosses the x axis. Because of these roots, the two factors are x-5 and x-7.
We can think of the root x = 5 turning into x-5 = 0 after subtracting 5 from both sides. The same goes for x = 7 turning into x-7 = 0.
Put together, the two factors lead to (x-5)(x-7) and we get the equation y = (x-5)(x-7). Plugging either x = 5 or x = 7 into this equation produces y = 0.
-------------------
Notice that plugging in x = 6 leads to...
y = (x-5)(x-7)
y = (6-5)(6-7)
y = (1)(-1)
y = -1
However, the graph shows that x = 6 should lead to y = -2 instead. To fix this, we can stick a 2 out front like so
y = 2(x-5)(x-7)
y = 2(6-5)(6-7)
y = 2(1)(-1)
y = -2
The error has been fixed. As you can see, we need this third point to help nail down the parabolic equation. You can pick any other x value you want as long as it's not 5 or 7.
-------------------
Let's try another x value. Let's say we pick x = 8
y = 2(x-5)(x-7)
y = 2(8-5)(8-7)
y = 2(3)(1)
y = 6
We see that x = 8 leads to y = 6. This matches what the graph shows that (8,6) is a point on the parabola. I'll let you try other x values.
-------------------
In short, we used the roots 5 and 7 to generate the partial factorization (x-5)(x-7). Then we used a third point (6,-2) to help determine the coefficient out front which was 2.
So after using that point, we go from y = (x-5)(x-7) to y = 2(x-5)(x-7) which is the final answer. This is considered x-intercept form because we can quickly read off the x intercepts from this equation.
Which of the following expressions is modeled on the number line?
+
-2 -1
+
0
+
1
5
-
-
2
3
4
ܕܠܐ
6
7
-N
8
9
10
-2(3)
02.3
6 = -3
0 0 + 6
Answers
The answer is -2 -1
help me!
A
B
C
D
E
F
Answers
Answer: g
Step-by-step explanation:
Andre says that 3 \div÷ 2/3 = because there are 4 groups of 2/3 and 1/3 left. Do you agree with Andre?
Answers
Answer: No
Is this 3/(2/3)? I'll assume it is.
Step-by-step explanation:
3/(2/3) can be rewritten as 3*(3/2)
3*(3/2) = 9/2 or 4 1/2
Four groups of 2/3 would make 8/3 or 2 2/3, not 4 and 1/3.
The length of a rectangle is four times its width.
If the perimeter of the rectangle is 100m, find its length and width.
Answers
Answer:
200points
[tex]x6)266(6( \times [/tex]
hatodf jahahshshshshfidba
Solve the following system of equations graphically on the set of axes below.y= \frac{1}{4}x+5y=41x+5y= -x-5y=−x−5
Answers
Answer:
b
Step-by-step explanation:
I’m really bad at math please help me
Answers
Hope this helps!!
PLEASE HELP GIVING BRAINLIEST! :)
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Which is the correct translation of the sentence into an equation?
Four less than a number is 12.
A: n-12=4
B: n-4=12
C: 4-n=12
D: 12-n=4
Answers
Answer:
B
Step-by-step explanation:
n is a number. 4 less then that number translates to n-4, so the answer is B:
n-4=12
Hope that helps! :)
Answer:
C: n-4= 12
Step-by-step explanation:
To understand why this answer is correct, lets break down the sentence.
Four less = [tex]4-[/tex]The part "than a number" can be represented as n as in math, unknown numbers are variables in order to isolate them to and figure out their values. "is 12" will represent the sum of the equation as the sentence is clarifying that that 4 minus the variable n is equal to 12.Revised Answer: n-4=12 is actually the answer as n can be any quantity, and n -4 =12 literally means n + (-4) = 12.
a break on the earth crust that is a result of movement or shaking refers to
Answers
Answer:
A fault
Step-by-step explanation:
A fault is a crack in the Earth's crust that allows chunks of the crust to move relative to one another along its length.
If the line passing through points ( - 5, - 2) and ( 4,-1), what is the slope?
Answers
Slope is the change in y over the change in x.
Slope = (-1 - -2) / (4 - -5)
Slope = 1/9
Cuál es la razón que indica el avance de un automóvil a 40000 m en 60 minutos?
Answers
La razón que indica el avance de un automóvil a 40,000m en 60 min es 666.67 m/min
Queremos obtener la razón entre la distancia avanzada por un automóvil y el tiempo en el que se avanza esta distancia.
Recordamos que:
velocidad = distancia/tiempo.
Entonces lo que calcularemos es la velocidad, en promedio, del autmóvil.
Tenemos:
distancia = 40,000mtiempo = 60minVelocidad = 40,000m/60min = 666.67 m/min
Sí quieres aprender más, puedes leer:
https://brainly.com/question/25316464
Choc-Arcade has Miguel's two favorite things: a chocolate shop and an arcade! Not only that, but Choc-Arcade's loyalty program rewards Miguel with free game tokens every time he buys chocolates. He gets 4 free game tokens for each chocolate he buys. There is a proportional relationship between the number of chocolates Miguel buys, x, and the number of free game tokens he gets, y.
Answers
Answer:
x : 4y
Step-by-step explanation:
For every one chocolate he buys, he gains 4 free game tokens
Given m∥n, find the value of x and y.(9x+19), (5x-7), (y-1)
Answers
Answer: Your x value would be 12 and your y value would be 128
X = 12
Y = 128
For each gallon of gas Sean puts in his truck, the truck will go $\frac{8}{3}$ miles. Suppose Sean's tank is empty, and he puts in $\frac{7}{5}$ gallons. How far can Sean go with his truck?
Answers
Answer:
56/15
Step-by-step explanation:
All we have to do is 8/3 x 7/5 and 8x7 is 56,5x3 is 15
So the answer is 56/15.
Answer:
56/15
Step-by-step explanation:
what is the common denominator of 6/7 and 3/8(please help i'm failing math)
Answers
Answer:
56
Step-by-step explanation:
A recent tornado damaged Jack's house and left it a little distorted. A question on the insurance form asked, "What shape is the house in?" Jack replied, "An irregular convex pentagon. The sum of the measures of the Interior angles of the 5-sided house is 540 find the Value x
Answers
Answer:
45
Step-by-step explanation:
2x+2x+2x+3x+3x=540(sum of angels in a five sided polygon)
12x=540
x=45