Answers
Angle 1 is 35°, angle 2 is 65°, angle 3 is 29°, angle 4 is 115°, angle 5 is 65°, angle 6 is 36° and finally angle 7 is 144° considering the shape triangle whenever possible.
What is a triangle and what are its properties?A triangle in geometry is a three-sided polygon with three edges and three vertices. The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic. This characteristic is known as the triangle's angle sum property.
Calculation:Considering the triangle that is containing angle 3 along with the angles 90° and 61° and as we know the sum of angles in a triangle = 180° so the angle 3 is 29°
As we know that opposite angles are equal we can say that angle 4 is 115°
Now considering the triangle that contain angle 3 which is 29° and angle 4 which is 115° we can say that angle 6 is 36° by applying sum of angles in a triangle.
Considering the triangle that consists of angles 1 , 6 and 80°+ angle 3 we can say that angle 1 is 35°
now considering the trinaglewith angles 1, 2 and 80° we can say that angle 2 is 65°
As we know that opposite angles are equal we can that angle 5 is same as angle 2 which is 65°.
Finally as angle 6 + angle 7 sum = 180° as they are on the straight line
we can say that angle 7 is 144°
Angle 1 is 35°, angle 2 is 65°, angle 3 is 29°, angle 4 is 115°, angle 5 is 65°, angle 6 is 36° and finally angle 7 is 144° considering the shape triangle whenever possible.
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Related Questions
If the area of a rectangle can be represented by x^2 -5x-14. What two expressions can represent the dimensions of the rectangle?
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Answer:
x-7
x + 2
Step-by-step explanation:
the equation is a quadratic equation
we need to find factors of -14x² that would add up to -5x
these factors are -7x + 2x
(x² + 2x) - (7x - 14)
factorise the expressions in the bracket
x(x + 2) -7(x + 2)
(x-7 )
or x + 2
Alicia will construct a rectangle that has a height of 4 units and an area of up to 48 square units. Which inequality represents all the possible lengths in units of the bases, b, that Alicia can use to construct this rectangle?
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Answer:
b ≤ 12
Step-by-step explanation:
The area of the rectangle is given by length multiplied by breadth.
The area of the rectangle up to 48 units square means that it can be 48 or less than 48.
If the height given is taken as the width of the rectangle then we can find the base which will be the length of the rectangle.
Area = length * breadth
4units * base ≤ 48 units square
base ≤ 48 units square/4 units
base ≤ 12 units
b ≤ 12 units
Expand and Simplify: (2x-1)(3x-2)
Answers
Answer:
6x^2-7x+2
Step-by-step explanation:
Given data
We have the expression
(2x-1)(3x-2)
First let us open the bracket
2x(3x-2)-1(3x-2)
6x^2-4x-3x+2
Collect like terms
6x^2-7x+2
What happens when the ordered pair (x,y) moves to the right?
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Nick needs to raise at least $320 for his trip. He has $80 saved already, and he makes $40 per yard that he mows. Write and solve an inequality to solve for how many yards, "x," Nick must mow to earn the money.
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Answer: Nick must now at least 6 yards.
Step-by-step explanation:
Since Nick has $80 saved already, and he makes $40 per yard that he mows, thus can be put up in an equation as:
= 80 + 40y
where y = number of yards
Since Nick needs to raise at least $320 for his trip, the equation to solve this will be:
80 + 40x ≥ 320
40x ≥ 320 - 80
40x ≥ 240
x ≥ 240/40
x ≥ 6
Therefore, Nick must now at least 6 yards.
What is the equation of the line shown in the graph?
Answers
Answer:
-6
Step-by-step explanation:
I'm not really sure whether or not your question is asking for the slope intercept form or just the slope.
Your answer would be: y = -6x + 7 [if your question is asking for the slope intercept form]
OR
Your answer would be: -6 [if your question is asking for just the slope]
Which of the following leading terms would make the expression a perfect square trinomial?
____ −140xy+100y2
A) 49x^2
B) 25x^2
C) 81x^2
D) 64x^2
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Because:
(7x-10y)^2 = 49x^2 - 140xy + 100y^2
What is the volume of this solid figure made with cubes
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Answer:
15
Step-by-step explanation:
three times five = fifteen and height is 1
Answer:
15
Step-by-step explanation:
multiply the length x width x height
At middle school lunch in the cafeteria, 60% of the students pack a lunch and 40% buy a lunch. Of the students who pack a lunch, 70% have a cookie. What is the percent of the students who have a cookie at lunch?
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Answer:
42%
Step-by-step explanation:
The computation of the percentage is shown below:
Here we assume that there are 100 students
So according to the question
60% of the students would pack the lunch i.e. 60 students
And, 40% of the students buy a lunch i.e. 40 students
Now the students who pack the lunch they have 70% of cookie
So, 70% of 60 students = 42 students
Now the percentage is
= 42 students ÷ 100 students
= 42%
92,63,22,80,63,71,44,35 what is the mean?
Answers
Answer:
58.75
Step-by-step explanation:
You add all the numbers and get 470 then divide it by the amount of numbers there which is 8 so 470 divided by 8 is 58.75
PLZ ANSWER QUICK WHAT IS THE RANGE OF THESE NUMBERS! WILL GIVE BRAINIEST
(give a correct number of the range of the numbers)
Answers
Answer:
170
Step-by-step explanation:
The acceleration (in m/s/s) of a body is directly proportional to the force (in N for newton) acting on the body. If a certain body accelerates at 10 m/s/s when subjected to a force of 3 N, what will the acceleration be under a force of 8 N??
Answers
Answer:
26.667
Step-by-step explanation:
Force is directly proportional to mass and acceleration.
So Let's first bring the parameters.
F=3N, A=10m/s M=?
F=ma:.
3=Mx10,. 3=10M
M=3/10 M= 0.3
So we will use that to find the acceleration of force 8N.
F=Ma:. 8=0.3xa
8=0.3a
A=8/0.3
A=26.667.
Adele correctly calculates the measure of angle w shown in the figure
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Answer: the answer is 40
Step-by-step explanation:
first of all look at the lins and you can see that the lines are the same
name another pair of lines that appear to be perpendicular
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Answer:
parallel lines
Step-by-step explanation:
im pretty sure this is it hope this helps
Anyone know how to answer this question
Answers
Answer:
x²+y²=225
Step-by-step explanation:
when centered at the origin the equation of a circle is x²+y²=r²
we are given x and y so 9²+12²=r²
[tex]r^{2} =9^{2} +12^{2}\\ =81+144\\ =225[/tex]
Evaluate the expression: 5 + 3 × (5 - 2)²
Answers
Answer: 32
Step-by-step explanation:
5+3*(5-2)^2
5+3*(3)^2
5+3*9
5+27
32
Answer:
32
Step-by-step explanation:
5 + 3 * (5 - 2)^2
5 + 3 * 3^2
5 + 3 * 9
5 + 2
= 32
What is the scale factor of the dilation?
Answers
Answer:
Step-by-step explanation:
2/5
Sarah uses 2 eggs for each batch
of 12 muffins that she bakes. How
many muffins can she bake with a full
carton of 12 eggs?
Answers
Answer:
I think it would be 72
Step-by-step explanation:
You would have to divided 2 by 12, which is 6. Then, you would have to multiply 6 by 12, which i s 72. I hope this is right, if not I'm sorry. I really hoped this helped :D
In the diagram ABC is congruent to DEF. aging the values of x and y
Answers
Answer:
x = 1, y = 46
Step-by-step explanation:
Since the triangles are congruent then corresponding sides and angles are congruent, then
DE = AB , that is
3x + 6 = 9 ( subtract 6 from both sides )
3x = 3 ( divide both sides by 3 )
x = 1
and
∠ C = ∠ F
10x + y = 56 ( substitute x = 1 )
10(1) + y = 56
10 + y = 56 ( subtract 10 from both sides )
y = 46
The area of a square floor on a scale drawing is 49 square centimeters, and the scale drawing is 1 centimeter:3 ft. What is the area of the actual floor? What is the ratio of the area in the drawing to the actual area?
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Answer:
the area of the actual floor is 784 ft² and the ratio is (1 cm²) ÷ (16 ft²). The same would be relevant
Step-by-step explanation:
The computation of the area and the ratio of the area is shown below:
The ratio of the drawing area to the actual area is
= ((1 cm) ÷ (4 ft))²
= (1 cm²) ÷ (16 ft²)
Now the actual floor area is
(16 ft²) ÷ (1 cm²) = actual area ÷ (49 cm²)
= (16 ft²) × 49 ÷ 1
= 784 ft²
hence, the area of the actual floor is 784 ft² and the ratio is (1 cm²) ÷ (16 ft²). The same would be relevant
help and make sure 100 %
Answers
Answer:
1. 63
2.
3. 117
4.
Step-by-step explanation:
gimme some time to do 2 and 4
Tuesday Evaluate the Expression: Use PEMDAS. 80 - 42+8
Answers
Answer:
30
Step-by-step explanation:
Using BODMAS
*80-50 (42+8)
*30
PLS HELP!!!!!
which polynomial is a perfect square trinomial?
A. 49x^2 - 28x + 16
B. 4a^2 - 20a + 25
C. 25b^2 - 20b - 16
D. 16x^2 - 24x - 9
Answers
Answer:
B
Step-by-step explanation:
We have to find which trinomial has:
1) two terms that are the perfect square of two numbers
2) a terms that is the double product of the two numbers
the first condition is satisfied by A and B, but only B satisfied the second., in fact the trinomial can be rewrite as: (2a-5)^2
Options C and D are traps because the square of a number can’t be negative
Somebody help pls I need help with this
Answers
Answer:
Step-by-step explanation:140
Explanation:
If 1 inch equals 7 miles than simply multiply 7 x 10 and that equals 70.
Hope this helps!
Which is the most accurate way to estimate 66% of 46?
A: 2/3 x 47
B: 1/3 x 45
C: 1/3 x 47
D: 2/3 x 45
Answers
Answer:
30 Don't use your calculator.
Step-by-step explanation:
This is an estimation question, so you have to throw your calculator out of your reach.
You have to know that 66% is nearly 2/3 So the correct answer cannot be B or C
It must be A or D.
The problem is that 3 doesn't go into 46 so you have to change it to something that is divisible by 3. Of the numbers given, the best one is 45
2/3 * 45 = 2 * 15 = 30
How close is that (remember you have to give 30 as your answer)?
The actual answer is 30.36 which makes your estimate very good.
Val walked dogs to save money for some books she wanted to buy. To determine how much money she will make, she used the function rule y = 6x. Find f(x) = 7.
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Answer:
y=6x
y=6(7)
y=6 times 7
y=42
Answer:
42
Step-by-step explanation:
if Y=6, and fx=7, then multiply 6 and 7
Help me question 3 plzzz
Answers
Answer:
it should be the top answer
Step-by-step explanation:
it's asking for a fraction with 3 as a denominator that is greater than one. if you need a better explanation feel free to ask in a comment!
Answer:
2+x
--------- >1
3
Step-by-step explanation:
......ur welcome.......
What’s the volume will give brainliest
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Answer:
2,860cm³
Step-by-step explanation:
just multiply all of the numbers.
can someone please help me :,)
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Answer:
The answer is 40
Step-by-step explanation:
8+3+5+4=20
Once you added all the nunbers mutilpy by 2
20x2=40
that's how you get 40 as your answer
hope that helps ❤
-12 > -15
True or False?
Answers
Answer:
t
Step-by-step explanation:
-12 is closer to zero than -15
Answer: True, -12 is closer to 0 than -15. When it comes to negative numbers the number closest to 0 is always the biggest.