The value of x in the triangle is 70°
What is a scalene triangle?A scalene triangle is a plane figure that has 3 different length sides and 3 different angles. The sum of all the angles in a scalene triangle is equal to 180°
i.e
[tex]\mathbf{\hat x + \hat y + \hat z = 180 ^0}[/tex]
Let's assume that angle y = 60° and angle z = 50°Then;
[tex]\mathbf{\hat x + 60^0 + 50^0 =180^0}[/tex]
x + 110° =180°
x = 180° - 110°
x = 70°
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A college is currently accepting students that are both in-state and out-of-state. They plan to accept two times as many in-state students as out-of-state, and they only have space to accept 200 out-of-state students. Let x = the number of out-of-state students and y = the number in-state students. Write the constraints to represent the incoming students at the college. X > 0 and y > 0 0 < x ≤ 200 and y > 400 0 < x and y < 200 0 < x ≤ 200 and 0 < y ≤ 400.
The constraints to represent the incoming students at the college are [tex]0<x \leq 200[/tex] and [tex]0<y \leq 400[/tex] and this can be determined by using the given data.
Given :
College plans to accept two times as many in-state students as out-of-state, and they only have space to accept 200 out-of-state students.x is the number of out-of-state students and y is the number of in-state students.The following steps can be used in order to determine the constraints to represent the incoming students at the college:
Step 1 - The inequalities are formed in order to determine the constraints to represent the incoming students at the college.
Step 2 - The linear equation that represents the situation "two times as many in-state students as out-of-state" is:
[tex]y = 2x[/tex]
Step 3 - The inequality that represents the situation "college only have space to accept 200 out-of-state students" is:
[tex]0<x \leq 200[/tex]
Step 4 - So, the inequality that represents the maximum number of in-state students that college can take is:
[tex]0<y \leq 400[/tex]
Therefore, the correct option is D).
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The area of the parallelogram is 17.6cm. What is the length of the base
Answer:
hope it helps
area of parallelogram: base × height = 17.6 cm sq
⇒ 4 × h = 17.6
⇒ h = 17.6/4
⇒ h = 4.4 cm
Step-by-step explanation:
The height of the parallelogram is 4.4 cm.
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
Given that, a area of a parallelogram is 17.6 cm² and its base is 4cm.
We know that, the area of parallelogram is Base × Height
Now, 17.6 =4× Height
Height =17.6/4
Height =4.4 cm
Therefore, the height of the parallelogram is 4.4 cm.
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"Your question is incomplete, probably the complete question/missing part is:"
If a area of a parallelogram is 17.6 cm square and its base is 4cm, find its corresponding height .
use substitution method (y = 2x-10 (2y=x-8
Answer:
(4, -2)
Step-by-step explanation:
Use the expression for y given by the first equation to substitute for y in the second equation.
2(2x -10) = x -8 . . . substitute for y
4x -20 = x -8 . . . . . eliminate parentheses
3x = 12 . . . . . . . . add 20-x
x = 4 . . . . . . . . .divide by 3
y = 2(4) -10 = -2 . . . substitute for x in the first equation
The solution is (x, y) = (4, -2).
[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]
We've been given to find out the values of x & y from the two given linear equations by substitution method.
Here we have,
y = 2x - 10 - - - - - (1) 2y = x - 8 - - - - - (2)As we have given the value of y i.e (y = 2x - 10) placing this value of y in the second equation we get,
[tex]:\implies\tt{2(2x - 10) = x - 8}[/tex]
[tex]:\implies\tt{4x - 20 = x - 8}[/tex]
[tex]:\implies\tt{4x - x = - 8 + 20}[/tex]
[tex]:\implies\tt{3x = 12}[/tex]
[tex]:\implies\tt{x = \frac{12}{3} }[/tex]
[tex]:\implies\tt{x = 4}[/tex]
Placing x = 4 in equation (1) we get,
[tex]:\implies\tt{y = 2x - 10}[/tex]
[tex]:\implies\tt{y = 2 \times 4 - 10}[/tex]
[tex]:\implies\tt{y = 8 - 10}[/tex]
[tex]:\implies\tt{y = - 2}[/tex]
The solution of the given system for linear equation is (x,y) = (4,-2)Kelly is measuring an object with a metric ruler. To minimize parallax, she should…
Answer:
Place the ruler such that the edge is against the object. Parallax is a distortion of view because humans see through two sources, not just one. the farther the object is away from the ruler, the more that parallax can affect the situation.
Step-by-step explanation:
Francis is making fruit punch. He adds 2 cups of apples juice for every 3 cups of grape juice. What is the ratio of grape juice to apple juice?
Answer:
3:2
Step-by-step explanation:
Hope this helps and that you have a good day!
If 4 bushels of oats weigh 112 kg, how much do 8. 5 bushels of oats weigh?.
Answer:
238 kg
Step-by-step explanation:
If 4 bushels weight 112, then divide 112 by 4 and you get that each bushel weighs 28 kg. Now multiply that by 8.5.
PLEASE HELP ME ASAP!!!!!!!!! GOD BLESS YOU IF YOU HELP ME THIS WILL RAISE MY GRADE
id like some help please!
im confused
Answer:
Angels D and G
Step-by-step explanation:
Alternate exterior angles are formed by a transversal intersecting two parallel lines . They are located "outside" the two parallel lines but on opposite sides of the transversal, creating two pairs (four total angles) of alternate exterior angles. Although in this case angels D and G dont have opposite angels so in this cade their is only 2 alternate exterior angels.
I hope this helps have a great day and happy holidays (「•-•)「
Answer:
∠D and ∠G
Step-by-step explanation:
Think about what alternate exterior angles are:
"Alternate" means on either side of each other"Exterior" means outside (the transversal BI).Putting these two elements together, we can clearly see the alternate exterior angles are ∠D and ∠G.
Help me with x and z
Answer:
x = 14
z = 70
Step-by-step explanation:
(10x - 30) + (11x - 84) = 180
x = 14
(10(14) - 30) + z = 180
z = 70
A salesperson's commission rate is 4% what is the commission from the scale of 39,000 worth of furnaces?
Suppose sales would double. What would be true about the commission?
Answer:
3,120
Step-by-step explanation:
hope it will help you
I need helppp
It’s for math and I’m clueless
Answer:
14
Step-by-step explanation:
x=4 y=1
Substitute them into the equation 3x-4yy+6
3(4)-4(1)+6
12-4+6
2(3x+4) - 4 (x + 2)=6 what dose x =
Step-by-step explanation:
2(3x + 4) - 4(x + 2) = 6
6x + 8 - 4x - 8 = 6
2x = 6
x = 6/2 = 3
30. Ben purchases a fish tank that is shaped like a
cube and will hold 216 cubic inches of water. What
are the dimensions (length, width, and height) of the
fish tank?
Answer:
the answer should have equal sides
Step-by-step explanation:
the answer 36 for the length, width, and height because if a cube has 6 sides each sould have the same amount of cubic inches.
Can someone tell me if this is correct if not please correct me in the wrong ones
Answer:
The answer to 2 is "acute".
The answer to 6 is "right triangle"
For 10, it actually is possible. An example is 50, 50, 80
Step-by-step explanation:
An acute triangle is when each angle is less than 90 degrees.
Any triangle with 90 degrees for one angle counts as a right triangle.
all angle measures in a triangle must add up to 180 degrees. Hope this helps!
tASAP HELP + 50 POINTS
Find the value of x. Show all the work
Answer:
7
Step-by-step explanation:
im pretty sure at least. since x is on a midpoint, it'd half of 14.
See those similar lines
The line.of length x passes through midpoint of the traingles on opposite sides
At this case according to BPT theorem
2x=14x=14/2x=7On a map the distance is 2.6cm scale of the map is 1cm:50km
Answer:
Step-by-step explanation:
2.6*50=130 km
Which is a solution to the following system of inequalities?
A. (6,6)
B. (7,8)
C. (8,7)
D. (9,7)
Answer: the answer is D
Step-by-step explanation: - 2 *9 + 3* 7 = 3
-5 *9 + 6 * 7 = - 3
And 3>1
-3<1
After a rotation, A(-3,4) maps to A/4, 3), B(4.-5) maps to BY-5,-4), and C(1,6) maps to C(6.-1). Which rule
describes the rotation?
O RO 90
O Ra 180°
O Ro 270
ORO 360°
Answer:
3rd option
Step-by-step explanation:
Under a rotation about the origin of 270°
a point (x, y ) → (y, - x ) , then
A (- 3, 4 ) → (4, - 3 )
B (4, - 5 ) → (- 5, - 4 )
C (1, 6 ) → (6, - 1 )
The center of rotation is therefore (h, k) = (1/2, 7/2), and the rule for the rotation is R90 (a 90-degree counterclockwise rotation about the point (1/2, 7/2)).
What is coordinate plane?The coordinate plane is a two-dimensional plane formed by the intersection of a horizontal number line, called the x-axis, and a vertical number line, called the y-axis.
The given information suggests that each point has been rotated 90 degrees counterclockwise around some point (h, k) on the coordinate plane.
To find this point, we can use the fact that the midpoint of the line segment joining each point to its image must be the center of rotation.
Midpoint of segment AA'/4: ((-3 + 4)/2, (4 + 3)/2) = (1/2, 7/2)
Midpoint of segment BB'/5: ((4 - 5)/2, (-5 - 4)/2) = (-1/2, -9/2)
Midpoint of segment CC'/6: ((1 + 6)/2, (6 - 1)/2) = (7/2, 5/2)
Thus, the center of rotation is therefore (h, k) = (1/2, 7/2), and the rule for the rotation is R90 (a 90-degree counterclockwise rotation about the point (1/2, 7/2)).
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What is the value of b for the following circle in general form? x2 + y2 + ax +by+c=0
Answer:
Step-by-step explanation:
(1). (x - h)² + (y - k)² = r²
where (h, k) are coordinates of a center of the circle with radius r
(2). ( a ± b )² = a² ± 2ab + b²
~~~~~~~~~~~~~~
( 1 , - 2 ) ; r = 3
( x - 1 )² + ( y + 2 )² = 3²
x² - 2x + 1 + y² + 4y + 4 = 9
x² + y² - 2x + 4y - 4 = 0
a = - 2
b = 4
c = - 4
Does 30, 40, 45 make a right triangle?
Answer:
no these degrees do not make a right triangle
Find the measure of the indicated angle in the triangle.
Answer:
70°
Step-by-step explanation:
The V angle is complementary with the R which means that
120° + V angle = 180° Therefore V = 60°
The sum of the internal angles of the triangles equals 180.
We have 50° + 60° + U = 180
70° is the answer
Round 9.46 to the nearest tenth.
Answer:
9.50
Step-by-step explanation:
9.46 to the nearest tenth is 9.50,
wherever there is a th after the value name it is the right hand side of the decimal point that you need to round to.
Hope this helps!
Answer 9.5
Step-by-step explanation: i think-
The primary driver of offshore outsourcing is driven by __________.
Answer:
cost
Step-by-step explanation:
a-y= b+y/a make y subject
Answer:
y = [tex]\frac{a^2-ab}{a+1}[/tex]
Step-by-step explanation:
a - y = b + [tex]\frac{y}{a}[/tex] ( multiply through by a to clear the fraction )
a² - ay = ab + y ( subtract y from both sides )
a² - ay - y = ab ( subtract a² from both sides )
- ay - y = ab - a² ← factor out y from each term on the left side
y(- a - 1) = ab - a² ( divide both sides by - a - 1 )
y = [tex]\frac{ab-a^2}{-a-1}[/tex] ( multiply numerator/ denominator by - 1 )
y = [tex]\frac{a^2-ab}{a+1}[/tex]
The image below represents a Function. Describe what is happening in this "machine".
Answer:
The input is being multiplied by 10.
This can be represented with the function x * 10 = y with x representing the input and y representing the output.
Step-by-step explanation:
solve the equation 3÷7x-1+1÷x=0
Answer: The answer is 3x^2 - 7x + 7 = 0.
school X and school Y had a competition, school X had 8 more points than Y. school X has 3 times as many points as school Y. how many points does each school have?
Answer:
the answer is X=12 Y=4
Step-by-step explanation:
X is 3 times the amount of Y and also 8 more. 4x3=12 and 12 is 8 bigger than 4
Lily has $2. 75 in her pocket, consisting of dimes and quarters. If there are 17 coins in all, how many of each does she have?.
Answer:
Lily has 7 Quarters and 10 Dimes
Step-by-step explanation:
Let's use pennies instead of $.
Let D and Q stand for the numbers of Dimes and Quarters, respectively.
We are told that there are 17 coins total:
D + Q = 17
We also learn that they amount to 275 (pennies). We can write that as:
10D + 25Q = 275 [Each D is worth 10 pennies, etc.]
We have two equations and two unknowns. We can rearrange one equation to find the value of either of the unknowns, and then use that it the second equation.
I'll rearrange the first:
D + Q = 17
D = 17 - Q
Now use this value of D in the second equation:
10D + 25Q = 275
10(17-Q) + 25Q = 275
170 - 10Q + 25 Q = 275
15Q = 105
Q = 7 : 7 Quarters.
Since D + Q = 17:
D + 7 = 17
D = 10 Dimes
==========================================
Let's check these results:
Q = 7 Quarters
D = 10 Dimes
1. Is this 17 coins in total? (7+10 = 17) YES
2. Does this add to $2.75? (10*10) + (7*25) = 275 cents?
(100 + 176) = 275 (cents) YES
============================
Lily has 7 Quarters and 10 Dimes
A hiker travels 1.13 kilometers south, then travels 2.25 kilometers east. What’s the hiker’s displacement for the trip?
Answer:
Total displacement = 2.52 kilometers [south east][tex]a^2 + b^2 = c^2\\1.13^2 + 2.25^2 = c^2\\c^2 = 6.3394\\c = 2.52[/tex]
Step-by-step explanation:
By the Pythagorean Theorem:
What is the answer please help