Answer:
[tex]x=55[/tex]
Step-by-step explanation:
To solve this question you need to know some properties of a parallelogram which is the shape given.
Firstly, remember that in a parallelogram opposite angles are equal.
Secondly, remember that the diagonals of a parallelogram bisect each other.
Lastly, remember that the sum of the interior angles of a quadrilateral or a parallelogram is 360°.
So, by using the first property we can see that because [tex]<[/tex]PQR=70° then [tex]<[/tex]PSR must be equal to 70° as well.
Now, we can use the last property to find [tex]<[/tex]SPQ then, use the second property to find [tex]x[/tex].
Let's name [tex]<[/tex]SPQ, [tex]y[/tex].
and That gives:
[tex]2y+140=360[/tex]
Subtract 140 from both sides:
[tex]2y=360-140[/tex]
[tex]2y=220[/tex]
[tex]y=\frac{220}{2}[/tex]
[tex]y=110[/tex]
So, [tex]<[/tex]SPQ=110 and
Now using the second property we can find that:
[tex]<[/tex]SPQ=[tex]2x[/tex]
And [tex]2x=110[/tex]
[tex]x=\frac{110}{2}[/tex]
[tex]x=55[/tex]
Hope this helped.
How was the Reconquista related to the Spanish Inquisition?
im stuck on this ??
Answer:
The Reconquista and the Inquisition are two very important events that happened in the middle ages. The Inquisition was when the Catholic church officials tortured Jews and Muslims to convert to Christianity. The Reconquista was when the people from Spain and Portugal united to take back their land from Muslims.
-x-2y=8 slope intercept form please
Answer:
Add x to both sides so the problem will become -2y =8+x, then you divide both sides by -2 to get y by itself. You will now have y=-4+-x. you'll need to double check this but it should be right. remember that slope intercept form is y=mx + b
The function f(x) is graphed on the coordinate plane.
What is f(−4)?
Enter your answer in the box.
f(−4) =
Answer:
On the graph when x is -4, y is 4. So f(-4)=4.
:)
If a train travels 420 miles in 24 hours, what is its unit rate of travel?
16 mph
19.5 mph
17.5 mph
15.2 mph
17.5mph
420÷24= 175
Hope this helped you- have a good day bro cya)
Answer:
17.5mph
Step-by-step explanation:
a compound that dissociates weakly is exposed to an electric current attached to a light bulb what do you expect will happen
Answer:
https://www.letsanswers.com/a-compound-that-dissociates-dissolves-to-form-ions-weakly-is-exposed-to-an-electric-current-attached-to-a-light-bul/
Step-by-step explanation:
link for the information
get these all right and ill give you a bonus of 75-100points
Answer:
1: -6m,
2: 10.3-12m,
3: 28a-7,
4: 5/8h+7
Step-by-step explanation:
so, a helpful thing with these, is to add like terms. with #4, we see that the letter m is with both of the numbers, and since we are adding a bigger negative to a positive, the answer will be a negative with the number. for 6, 2 numbers have an x, and 2 do not. so we add or subtract the like pairs, as in the ones with the letters, and then a separate one for the one with no letters. for the last one, you always want to have a "common denominator" which is the number on the bottom. because 8 is already on the bottom, and 4 is divisible by 8 by 2, we inversely multiply the top and bottom numbers for the "3/4" and would get "6/8" to match the bottom denominator for "1/8" hope this helps
esrimate the value of the following to the nearest whole number
1)
[tex] \sqrt{97} [/tex]
2)
[tex] \sqrt{780} [/tex]
3)
[tex] \sqrt{5436} [/tex]
4)
[tex] \sqrt{4000} [/tex]
Answer:
10
28
73
63
Step-by-step explanation:
geometry! helpopppp!!!!!
Use the number line to help you decide which statement is true.
(A)
(B)
(C)
Answer:
I think it's (A). 5
I don't know
Answer:
5/8 > 1/2
Step-by-step explanation:
No need number line. Just use fraction walls
Determine the relationship between the two triangles and whether or not they can be proven to be congruent
9514 1404 393
Answer:
the triangles are congruent
Step-by-step explanation:
The side marked congruent is between the angles marked congruent, so the triangles are congruent by the ASA congruence postulate.
May I please receive help?
Please
Answer:
put it in desmos.................
Your friend drinks 2/3 of water. You dink 5/7 of a bottle of water find the difference of the amounts of water lift in each bottle
Answer:
the difference is 1/21
Step-by-step explanation:
2/3 equals 14/21 and 5/7 equals 15/21
Match the situation to the most appropriate graph #7
19. What is the 6th term in the sequence below? 1, 3, 7, 15, 31, _, 127
Help ASAP! 50 points!
Answer:
B
Step-by-step explanation:
this week sage spent $30 for hot dogs and supplies. he earned $18. Did he make money or lose money this
Answer:
He lost $12.
Step-by-step explanation:
Money Earned=$18
Money Spent=$30
Here, Money Spent is larger than Money Earned, which means that he lost money.
$30-$18
$12
He lost $12.
Answer:
he made money and lose money this week
Step-by-step explanation:
HOpe this helps
4. Andrew likes to solve puzzles.
It took him 4.5 minutes to complete one puzzle with 18 numbers.
It took him 6 minutes and 24 seconds to complete a different puzzle with 32 numbers.
a
For each puzzle work out how many seconds it took Andrew to complete one number.
b
Use your answer to part a to decide which puzzle Andrew completed faster.
Answer:
Step-by-step explanation:
Andrew likes to solve puzzles.
It took him 4.5 minutes to complete one puzzle with 18 numbers.
It took him 6 minutes and 24 seconds to complete a different puzzle with 32 numbers.
a For each puzzle work out how many seconds it took Andrew to complete one number.
b Use your answer to part a to decide which puzzle Andrew completed faster.
plz help....................
[tex]x + 18 = 54 \\ = > x = 54 - 18 \\ = > x = 36[/tex]
Answer:Option A. x = 36
Hope it helps
ray4918 here to help.
_____________
[tex] \: [/tex]
Step by step :x + 18 = 54
x = 54 - 18
x = 36✔ (A.)
limθ→π/4 (cosθ−sinθ)/(θ– π/4)
Answer:
-√2
Step-by-step explanation:
For the typing purpose I replaced θ with n in the calculation
[tex]\lim_{n \to \frac{\pi }{4}} \frac{cos n-sin n}{\frac{\pi }{4} } ...limits L'Hopital's Rule\\= \lim_{n \to \frac{\pi }{4}} \frac{-sin n-cos n}{1 } ... plug. in . \frac{\pi }{4} \\= - sin \frac{\pi }{4} - cos \frac{\pi }{4}\\= - \frac{\sqrt{2} }{2} - \frac{\sqrt{2} }{2}\\= \frac{- 2\sqrt{2}}{2} \\= - \sqrt{2}[/tex]
two supplementary angles are in a ration of 3 7 find the measure of each angle
Answer:
54 degrees and 126 degrees
Step-by-step explanation:
hope this helps i'm 9 but I have a 8th grade math knowledge.
Answer:
is 20
Step-by-step explanation:
hi the answer is .......
so what you have to do is that you have to add 3 to 3 =6 and then you have to add 7 to 7 = 14 then you have to add 14 to 6= 20 and this is going to be your answer
In a certain Algebra 2 class of 29 students, 8 of them play basketball and 16 of them play baseball. There are 11 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?
Answer:
18/29
Step-by-step explanation:
The probability that a student chosen randomly from the class plays basketball or baseball is 18/29
How to determine the probability?The given parameters are:
Students = 29Basketball = 8Baseball = 16Neither = 11The number of students that play basketball or baseball is:
Basketball or Baseball = Students - Neither
This gives
Basketball or Baseball = 29 - 11
Basketball or Baseball = 18
The probabilty is then calculated as:
P = Basketball or Baseball/Students
This gives
P = 18/29
Hence, the probability that a student chosen randomly from the class plays basketball or baseball is 18/29
Read more about probability at:
https://brainly.com/question/251701
1. What is the mean change in the forecasted high temperatures over the next 7 days?
82
83
79
80
76
73
73
I WILL MAKE BRAINLYIEST
78
Step-by-step explanation
by adding all the number and divide by the number of number
Answer:
78
Step-by-step explanation:
add all and divide by 7
y times 7 then add t expression
Answer:
7y + t
Step-by-step explanation:
Simplify −n+(−4)−(−4n)+6
Answer:
2+3n
Step-by-step explanation:
-n+(-4)-(-4n)+6-n-4+4n+6-4+6-n+4n2+3n
How many gallons of pure water should be added to 10 gallons of a solution containing 15% juice so that
the remaining solution contains 5% juice?
Fill in the table:
What is the amount of juice in the original solution? a =
What is the original amount of solution in gallons? b =
How much juice is added? c =
How much total solution is added? d =
Original
Added
New
Amount of juico
a
Total solution
Answer:
A = 1.5, B = 10, C = 0, D = 20
Step-by-step explanation:
A = 10 * 15% = 1.5
b = 10
c = 0
(10 + x) * 5% = 1.5
0.5 + 0.05x = 1.5
0.05x = 1
x = 20
(assume 'x' is added solution)
d = 20
Answer: A. 1.5 B. 10 C. 0 D. X
If the cost, C(x), for manufacturing x units of a certain product is given by C(x)=x2−19x+50 find the number of units manufactured at a cost of $8150
Answer:
Step-by-step explanation:
C(x) = ax2 + bx + c
C(x) = x2 -19x + 50
8150 = x2 -19x + 50
x2 -19x + 50 = 8150
x2 -19x-8100 = 0
this is a quadratic equation, solved as
x = −b ± √(b2 − 4ac) 2a ·
or
x = −(-19) ± √((-19)x(-19) − 4(1) x(-8100))/2 ·
x= 19± √((-19)x(-19) − 4(1) x(-8100))/2
x = 100
Multiply (−7) × (2) × (−2).
−28
−14
28
14
Answer:
Your answer is 28
Answer:
The answer is 28
Step-by-step explanation:
Hope it helps
Find the missing angles for each problem, given that lines a and b are parallel (step by step)
Answer:
1) 40°
2) 140°
3) 140°
5)40°
6)140°
7)140°
8)40°
Step-by-step explanation:
1 = 40 ° [Vertically Opposite angles are equal]
8 = 40 ° [Corresponding Angles are equal]
5 = 8 = 40° [Corresponding Angles are equal]
7 = 180° - 40° = 140° [Supplementary angles sum 180°]
6 = 140° [Vertically Opposite angles are equal]
2 = 140° [Corresponding Angles are equal]
3 = 140 ° [Vertically Opposite angles are equal]
Maria was playing basket.she made 25 baskets.5 of the baskets were 3-pointers.The rest were 2-pointers.how many points did she score
√(112) - √(80) / √(20) - √(28) = ?
[tex]\large\underline{\sf{Solution-}}[/tex]
We need to solve,
[tex]\dfrac{\sqrt{112}-\sqrt{80}}{\sqrt{20}-\sqrt{28}}[/tex]
We can write the above mentioned expression as,
[tex]\sf\longmapsto\dfrac{\sqrt{2\times2\times2\times2\times7}-\sqrt{2\times2\times2\times5}}{\sqrt{2\times2\times5}-\sqrt{2\times2\times7}}[/tex]
So,
[tex]\sf\longmapsto\dfrac{\sqrt{4\times4\times7}-\sqrt{4\times4\times5}}{\sqrt{2^2\times5}-\sqrt{2^2\times7}}[/tex]
So,
[tex]\sf\longmapsto\dfrac{\sqrt{4^2\times7}-\sqrt{4^2\times5}}{\sqrt{2^2\times5}-\sqrt{2^2\times7}}[/tex]
Hence,
[tex]\sf\longmapsto\dfrac{4\sqrt{7}-4\sqrt{5}}{2\sqrt{5}-2\sqrt{7}}[/tex]
Taking common in respective terms,
[tex]\sf\longmapsto\dfrac{4(\sqrt{7}-\sqrt{5})}{2(\sqrt{5}-\sqrt{7})}[/tex]
On cancelling 4 with 2,
[tex]\sf\longmapsto\dfrac{4\!\!\!/^{\:2}(\sqrt{7}-\sqrt{5})}{2\!\!\!/(\sqrt{5}-\sqrt{7})}[/tex]
[tex]\sf\longmapsto\dfrac{2(\sqrt{7}-\sqrt{5})}{(\sqrt{5}-\sqrt{7})}[/tex]
Taking (-) common,
[tex]\sf\longmapsto\dfrac{-2(\sqrt{5}-\sqrt{7})}{(\sqrt{5}-\sqrt{7})}[/tex]
So, (√5 - √7) gets cut,
Hence,
[tex]\longmapsto\bf\dfrac{\sqrt{112}-\sqrt{80}}{\sqrt{20}-\sqrt{28}}=-2[/tex]