To solve this question, we must know the the angle sum property of a triangle. Therefore the value of ∠B is 85° when ∠A = 75° and ∠C=20° in △ABC
What is angle sum property of a triangle?According to angle sum property of a triangle, the sum of all angles of a triangle is always 180 degree. It can never be more than or less than 180 degree. If two angles of a triangle is given then the third angle can be calculated by subtracting the sum of two angle from 180°
The sum of the three angles in a triangle = 180° , that is
∠ A + ∠ B + ∠ C = 180°
Substituting the given values in the given equation we get
75° + ∠ B + 20° = 180°
∠ B + 95° = 180°
subtracting 95° from both sides we get
∠ B = 85°
Therefore the value of ∠B is 85° when ∠A = 75° and ∠C=20° in △ABC
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How do I find the length of SU?
Answer:
itll be WU multiplied by 2.
Step-by-step explanation:
this is because TV is the bisector, so WU and SW are the same length. just multiply it by 2.
Two students were shopping for school supplies. They need spirals which cost x dollars and pens which cost y dollars. One student bought 2 spirals and 3 pens for $8.66. Another student bought 4 spirals and 5 pens for $15.20. Find the unit cost of a spiral.
Answer:
x=1.15
y=2.12
Step-by-step explanation:
look at the picture ..........
Solve: 5x=-6x+9
A: x= -9
B: x= -9/11
C: x= 9
D: x= 9/11
Answer:
x = 9/11
Step-by-step explanation:
5x = -6x + 9
Add 6x to both sides
11x = 9
Divide both sides by 11
x = 9/11
Answer:
X Equals 9/11
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable. So X will equal 9/11, which in decimal form is 0.81.
If CDG ~ EDF, find the value of x.
2x+7
5x-2
48
40
Answer:
x=4
Step-by-step explanation:
48/5x-2 = 40/2x+7
48(2x+7) = 40(5x-2)
96x+336 = 200x-80
-96x -96x
336 = 104x-80
+80 +80
416/104 = 104x/104
x = 4
The value of x is equal to 4.
we have given that,
If CDG ~ EDF, find the value of x.
2x+7
5x-2
48
40
we have to determine the value of the x.
What is the similarity of the triangle?
Two triangles are similar if they have the same ratio of corresponding sides and equal pairs of corresponding angles.
48/5x-2 = 40/2x+7
48(2x+7) = 40(5x-2)
96x+336 = 200x-80
-96x -96x
336 = 104x-80
+80 +80
416/104 = 104x/104
x = 4
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Write an equation in slope intercept form for the graph of the line.
How is the formula to find the slope between any two points the same as rise/run?
Answer:
because as long as it's the same number, the equation is still the same as long as you have the same numbers and you're using the same subtraction/addition properly
Step-by-step explanation:
If the legs of a right triangle are x, (2x - 1) and its hypotenuse is (2x + 1), what is the value of x?
Answer:
x=8
Step-by-step explanation:
(2x + 1)² = x² + (2x - 1)² = x² + (2x - 1)(2x - 1)
(2x + 1)(2x + 1) = x² + 4x²-2x-2x+1
4x²+2x+2x+1 = 5x²-4x+1
4x²+4x+1 = 5x²-4x+1
0= 5x²-4x²-4x-4x+1-1
0= x²-8x
x²-8x=0
x²=8x
x=8
Bill makes a conjecture that the sum of an odd integer and itself is always an even
integer. Which choice is the best proof of his conjecture?
Answer:
Step-by-step explanation:
Lynn is making a snack. The recipes call for 38 cup of water for oats and 14 cup of water for dried fruit. She only has 1 cup of water. Does she have enough to make her snack? Explain. No. Both recipes call for more than 1 cup, so the recipes will use more than 2 cups altogether. No. Both recipes call for more than half a cup, so the recipes will use more than 1 cup altogether. Yes. Both recipes call for exactly 1 cup, so the recipes will use exactly 1 cup altogether. Yes. Both recipes call for less than half a cup, so the recipes will use less than 1 cup together
Answer:
3.4/6
Step-by-step explanation:
No, Lynn do not have enough water to make her snack.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Given that, the recipes call for 3/8 cup of water for oats and 1/4 cup of water for dried fruit.
You need to add up the quantities of water needed first. That will then tell if she has enough water.
Convert the fractions to decimals then add them up:
3/8 = 0.375
1/4 = 0.25
= 0.25 + 0.375
= 0.625 cups of water is required.
This is less than the 1 cup she has so she has enough water to make the snack.
No, Lynn do not have enough water to make her snack.
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"Your question is incomplete, probably the complete question/missing part is:"
Lynn is making a snack. The recipes call for 3/8 cup of water for oats and 1/4 cup of water for dried fruit. She only has 1 cup of water. Does she have enough to make her snack? Explain
Add (y + 2x + 5) + (3y - 3x +1)
Answer:
4y-x+6
Step-by-step explanation:
Answer:
3y-x+6is answer.good luck
Step-by-step explanation:
(y + 2x + 5) + (3y - 3x +1)
y + 2x + 5+3y - 3x +1
y+2y+2x-3x+5+1
3y-x+6
18 + 18 + 18 + 18 - 24 + 1 + 3 + 5 + 7 + 20 - 23 =?
Answer: 61
Step-by-step explanation:
Use addition to solve the equation.
18 + 18 + 18 + 18 - 24 + 1 + 3 + 5 + 7 + 20 - 23 = 61.
Answer:
61
Step-by-step explanation:
Age was given instructions to create a rectangular garden that had an area of 45 ft^2. he was told that the length of the garden must be 1 ft less than twice the width. Find the length and width of the garden.
Answer:
width = 5 ft
length = 9 ft
Step-by-step explanation:
Here, we want to get the length and width of the garden
length is 1 ft less than twice the width
if width = w
length = 2w-1
The product of the two is 45
so, we have it that;
w(2w-1) = 45
2w^2 - w = 45
2w^2 - w -45 = 0
2w^2 - 10w + 9w -45 = 0
2w(w-5) + 9(w-5) = 0
(2w + 9)(w-5) = 0
2w + 9 = 0
or w -5 = 0
w = 5 or-9/2
w cannot be negative, so we = 5
l = 2(5) -1 = 10 - 1 = 9 ft
True and false math question
Answer:
I'm thinking it's false
Step-by-step explanation:
however, I would wait for another's opinion as well
Answer:
false
Step-by-step explanation:
just my opinion but if you think I'm wrong it's okay
Question 1 ?
Question 2 ?
Question 3 ?
Question 4 ?
Question 5 ?
Answer:
1. 90 degrees
2. 23 degrees
3. 67 degrees
4. 5 units
5. 12 units
90°
23°
67°
5 units
12 units
Find the equation of the line shown.
Rearrange x= 3g + 2 to make g the subject
Answer:
g = 1/3 x - 2/3
Step-by-step explanation:
x =3g + 2
Switch sides:
3g + 2 = x
Take away 2 from both sides:
3g = x - 2
Divide both sides by 3:
g = 1/3 x - 2/3
How do I figure this out?
Answer:
0.75 : 1
Step-by-step explanation:
14 - 3c + 8 + c ????
Answer:
−2c+22
Step-by-step explanation:
Define the opposite and the absolute value of -8.
O The opposite of -8 is -8. The absolute value of -8 is 8.
O The opposite of -8 is -8. The absolute value of -8 is -8.
O The opposite of -8 is 8. The absolute value of -8 is 8.
O The opposite of -8 is 8. The absolute value of -8 is -8.
Answer:
The opposite of -8 is 0 and the absolute value in 8
Step-by-step explanation:
Answer:
The opposite of -8 is 8. The absolute value of -8 is 8.
Step-by-step explanation:
A box of socks contains 5 white socks, 3 grey socks, 4 black socks and 1 blue sock. If Sophie
closes her eyes and randomly picks two socks from the box, what is the probability that both socks
are grey?
Answer:
1/5
Step-by-step explanation:
g(1)=0
g(n)=g(n-1)+n
g(2)=????
If g(1) = 0 and g(n) = g(n-1) + n, then g(2) = 2
The given relationship is:
g(1) = 0
g(n) = g(n-1) + n
g(2) = ?
Since g(1) is already known
g(2) = g(1) + 2
Note that g(1) = 0
Substitute g(1) = 0 into g(2) = g(1) + 2
g(2) = 0 + 2
g(2) = 2
Therefore, if g(1) = 0 and g(n) = g(n-1) + n, then g(2) = 2
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A triangle has side lengths of 21 cm and 17 cm. What is the range of values possible for the 3rd side?
Answer:
[tex]4 < x < 38[/tex]
Step-by-step explanation:
[tex]21 - 17 = 4[/tex]
[tex]21 + 17 = 38[/tex]
The range of 3rd side is in between 4 to 38.
[tex]4 < side 3 < 38[/tex]
A triangle has side lengths of 21 cm and 17 cm
side 1 = 21 cm
side 2 = 17 cm
What is the relation between side of triangle?
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Therefore,
length of side 3
[tex]21-17 < side 3 < 21+17[/tex]
[tex]4 < side 3 < 38[/tex]
Therefore the range of 3rd side is in between 4 to 38.
[tex]4 < side 3 < 38[/tex]
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What are the angles measures of triangle ABC?
Answer:
∠A = 90°
∠B = 60°
∠C = 30°
x + 3 = 15
Solve the equation and check for the solution
Answer:
x=12
Step-by-step explanation:
move the 3 to the other side to get x by itself.
check: 12 + 3 = 15
Answer:
(Not sure)
x = 12
Step-by-step explanation:
x + 3 = 15
CLT
X = 15-3
× = 12
QRST is a parallelogram. Find x, y, and z.
Answer:
x=5.4
y= 9
z= 11
Step-by-step explanation:
5x= 27
x= 5.4
2y-5=y+4
y=9
3z = 33
z =11
If 6 is multiplied by the sum of a number and 5, the result is 30. Which equation could be used to find the value of the number?
Answer:
5x6
Step-by-step explanation:
5x6
5 groups of 6
=30
yo does anyone know how to solve this
(-7, 0)
i promise im right
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,047
was collected on the sale of 1,291 tickets. How many of each type of ticket were sold?
The basketball game sold
adult tickets and
student tickets.
Answer:
The basketball game sold 439 adult tickets and 858 student tickets.
Step-by-step explanation:
A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, in the systems of equations, one must look for the values of the unknowns, with which when replacing, they must give the solution proposed in both equations.
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,047 was collected on the sale of 1,291 tickets.
With "x" the number of adult tickets sold and "y" the number of student tickets sold, you have the following system of equations:
[tex]\left \{ {{x+y=1291} \atop {5*x+1*y=3047}} \right.[/tex]
Through the substitution method, you must solve for one of the unknowns in one of the equations and substitute its value in the following one: in this case you solve for the variable y from the first equation:
y=1291 -x
and you replace in the second equation:
5*x + 1291 - x= 3047
Solving, you get:
5*x-x= 3047 - 1291
4*x= 1756
x= 1756÷4
x=439
Replacing this value in the expresion y=1291 -x you get:
y=1291 -439
y= 858
The basketball game sold 439 adult tickets and 858 student tickets.
Select the correct infinitive.
¿A dónde van Uds. los domingos?
_____ a la iglesia.
Answer:
la respuesta es voy a la iglesia corona plis
Red balloons is 15 blue balloons is 10 what is the ratio of red to blue
Answer:
3:2
Step-by-step explanation:
15 to 5 in simplest form you caan multiply by 5 so in simplest form its
5x3=15
5x2=10
so anwswer is 3:2
plz mark brinliest
