Given the m<8=45, find the other angle measures. Be able to say how you found each angle measure. PLEASE help!
Answers
Answer:
m<1 = 135°, m<2 = 45°, m<3 = 135°, m<4 = 45°, m<5 = 135°, m<6 = 45°, m<7 = 135°
Step-by-step explanation:
We know that a straight line always gives us a measure of 180° total. This would mean 180° = m<8 + m<7. So, if we plug in the real value of m<8, we get 180 = 45 + m<7. From there, we can subtract 180 by 45, and we get 135° = m<7.
We know that vertical angles are congruent - so m<5 is the same as m<7 - making m<5 = 135° as well. This could also apply to m<8 and m<6, so m<6= 45°.
From there, we can also say that alternate interior angles are congruent to each other - meaning m<5 = m<3, and m<6 = m<4. So, m<3 = 135° and m<4 = 45°.
Alternate exterior angles are congruent too, which means m<8 = m<2, and m<7 = m<1. So, m<2 = 45° and m<1 = 135°.
In summary,
m<7 = 135° because angle subtraction.
m<5 = 135° and m<6= 45° because vertical angles are congruent.
m<3 = 135° and m<4 = 45° because alternate interior angles are congruent.
m<1 = 135° and m<2 = 45° because alternate exterior angles are congruent!
Hope this makes sense! Not sure if I explained it well.
Related Questions
do the side lengths 4.1,8.2,and 12.2 for a triangle
Answers
Answer:
Step-by-step explanation:
Three line segments can form a triangle if the length of the longest segment is greater than the sum of the lengths of the shorter segments.
4.1 + 8.2 > 12.2
12.3 > 12.2
true
They can form a triangle.
Now if c is the length of the longest side and a and b are the lengths of the shorter sides, then:
- if , [tex]c^{2}[/tex] = [tex]a^2 + b^2[/tex] the triangle is right
- If [tex]c^2 < a^2 + b^2[/tex]
- if [tex]c^2 > a^2 + b^2[/tex] the triangle is obtuse
[tex]4.1^2 + 8.2^2 = 16.81 + 67.24 = 84.05\\12.2^2 = 148.84\\148.84 > 84.05[/tex]
The triangle is obtuse.
The expression 3.5m + 20p gives the amount of money, in dollars, a bakery makes from selling m
muffins and p pies. How much money does the bakery make from selling 5 muffins and 3 pies?
A. $37.50
B. $77.50
C. $63.50
D. $110.50
Answers
3.5x5 + 20x3.
3.5 x 5 =17.5
20 x 3 =60
17.5 + 60 =77.5
The answer is B, $77.50
what is one difference between Geometric and Arithmetic Sequence
Answers
An arithmetic sequence is a sequence with two consecutive terms that are constant, while a geometric sequence is a sequence where the ratio between two consecutive terms constant.
3 x + 9 = box If the equation has no solution, which expression can be written in the box on the other side of the equation?
Answers
Answer:
Step-by-step explanation
3x+9=?
subtract 9 from both sides
3x=-9
divide by 3
x=-3
Now plug it in to find your soultion that is not correct
3(-3)+9=
-9+9=
0
Answer:
To find the expression for the box, we need to simplify the equation. Let's break it down step by step:
3 (x + 1) + 9 = box
First, distribute the 3 to the terms inside the parentheses:
3x + 3 + 9 = box
Next, combine like terms:
3x + 12 = box
Now, we can compare the simplified equation to the given expressions:
3 (x + 4)
2 (x + 6) + x
4(x – 3) – x
3 (x + 1) + 9
We are looking for an expression that matches our simplified equation, which is 3x + 12. By comparing the expressions, we can see that 3 (x + 1) + 9 is the same as 3x + 12.
Therefore, the expression that can be written in the box is 3 (x + 1) + 9.
Please give me brainliest!
If tan(θ) = cot(40°), what is θ?
Answers
Answer:
50 lol
Step-by-step explanation:
Answer:
Θ = 50°
Step-by-step explanation:
Using the cofunction identity
tan(90 - x)° = cotx°
Given
cot40°, then
tan Θ = tan(90 - 40)° = tan50°
Thus Θ = 50°
What is the value of the rational expression when x=-2? -7 -9 9 7
Answers
The value of the rational expression [tex]\frac{2x^2+5x+9}{x^2+2x-1}[/tex] when x =-2 is -7
What is ration expression?A rational expression is an expression that can be written in the form of a ratio of two polynomial expressions. Specifically, it is a fraction in which the numerator and denominator are both polynomials.
How to find value of rational expression?To find the value of the rational expression when x=-2, we substitute -2 for x in the expression and simplify:
[tex]\frac{2x^2 + 5x + 9}{x^2 + 2x - 1}[/tex]
= [tex]\frac{(2(-2)^2 + 5(-2) + 9)}{((-2)^2 + 2(-2) - 1)}[/tex]
=[tex]\frac{8 - 10 + 9}{4 - 4 - 1}[/tex]
= [tex]\frac{7}{-1}[/tex]
= -7
Therefore, the value of the rational expression [tex]\frac{2x^2+5x+9}{x^2+2x-1}[/tex] when x =-2 is -7.
Learn about rational expression here https://brainly.com/question/29061047
The question is incomplete, see full details in the attached image.
The value of the expression is Option a. -7.
To find the value of the rational expression (2x² + 5x + 9) / (x² + 2x - 1) when x = -2, we need to substitute -2 into the expression.
First, let's calculate the numerator:
2(-2)² + 5(-2) + 9= 2(4) -10 + 9= 8 - 10 + 9= 7Next, we calculate the denominator:
(-2)² + 2(-2) - 1= 4 - 4 - 1= -1Now, we divide the numerator by the denominator:
= 7 / (-1)= -7So, the value of the rational expression when x = -2 is -7. Therefore, the correct answer is Option a. -7.
Complete question:
What is the value of the rational expression (2x²+5x+9)/x²+2x-1 when x=-2
a. -7
b. -9
c. 9
d. 7
Which is an equivalent expression to b^-3•n^-6?
1/n^9
1/n^-9
1/n^-18
1/n^18
(they are fractions) PLEASE ANSWER ASAP. NEED IT
Answers
Answer:
I think you may have made a mistake when entering the original equation. Assuming you meant to put "n" where you put "b" as the variable, the answer is b) 1/n^-9
Step-by-step explanation:
You simply add exponents when multiplying them if they have the same base. Thus -3 + -6 is -9.
What is the area of the shape below? Hint: use the formula: A =1/2 h (b1 + b2) *
A. 54.6 yd squared
B. 172.5 yd squared
C. 112.5 yd squared
D. 120 yd squared
Answers
Answer:
B. 172.5 yd squared
Step-by-step explanation:
FIrst, we must find half of the height, which is 15/2 or 7.5.
Next we have to multiply 7.5 times (15+8) which is B.
The radius of a circle is 1 inch. What is its circumference?
Answers
Step-by-step explanation:
use the image below to help
Please help me with #3.
Answers
Answer:
Total lateral surface of the pyramid = 54 [tex]cm^{2}[/tex]
which agrees with the first listed answer.
Step-by-step explanation:
Notice that the pyramid has for base an equilateral triangle of base 5 cm, and has three lateral triangles which have all the same dimensions for their base (5 cm - since they are all connected to the base of the pyramid), and their height (7.2 cm).
The actual LATERAL surface, includes only the surface of the three lateral triangles.
We use the formula for the area of a triangle: [tex]Area=\frac{base \,*\, height}{2}[/tex]
to calculate the area of each lateral triangle:
[tex]Area=\frac{5\,cm \,*\, 7.2\,cm}{2} \\Area=18 \,cm^2[/tex]
and then multiply the result by three (to account for the three lateral faces)
Therefore, the total lateral surface is:
Total lateral surface = 3 * 18 = 54 [tex]cm^{2}[/tex]
Which rules of exponents will be used to evaluate this expression? Check all that apply.
StartFraction left-brace (negative 8) Superscript 4 Baseline right-brace Superscript negative 5 Baseline Over (negative 8) Superscript 6 Baseline EndFraction
product of powers
quotient of powers
power of a power
power of a product
negative exponent
zero exponent
Answers
Answer:
quotient of powers power of a power negative exponentStep-by-step explanation:
Given
( -8⁴)⁻⁵ / ( -8⁶)Evaluating:
( -8⁴)⁻⁵ / ( -8⁶) =( -8⁴ˣ⁻⁵) / ( -8⁶) = ⇒ Power of a power (nᵃ)ᵇ = nᵃᵇ(-8⁻²⁰)/( -8⁶) =8⁻²⁰⁻⁶ = ⇒ Quotient of powers nᵃ/nᵇ = nᵃ⁻ᵇ8⁻²⁶ = 1/8²⁶ ⇒ Negative exponent n⁻ᵃ = 1 / nᵃUsed rules:
quotient of powers power of a power negative exponentAnswer:
B-quotient of powers
C-power of a power
E-negative exponent
Step-by-step explanation:
An atom of lithium has 3 protons 4 neurons and 2 electrons.
What is the overall charge on this atom
A) -3
B) -1
C) +1
D) +3
Answers
Answer:
positive 1
Step-by-step explanation:
hope it helps.
give me the brain PLZ:)
172.7=3.14d
Solve for d
Answers
Answer:
55
Step-by-step explanation:
Divide both sides by 3.14 to get d by itself.
172.7 / 3.14 = 55 = d
At Marvin's Motorcycle's a pair of gloves sell for $85. Marvin purchases them from the manufacturer for $50. What is the percent markup on the gloves?
Plz help! 10 points
Answers
I hope this helped! Mark me Brainliest! :) -Raven❤️
how do i find the area of a trapezoid (pictures provided)
Answers
Answer:
(10x - 5) square units.
Step-by-step explanation:
Let the lengths of equal sides be x units.
Hence, AB + AD + DC = x + x + x = 3x
Therefore, BC = 3x - 2
[tex]Area \: of \: trapezoid \\ = \frac{1}{2} (AD + BC) \times 5 \\ = \frac{1}{2} (x + 3x - 2) \times 5 \\ = \frac{1}{2} (4x - 2) \times 5 \\ = \frac{1}{2} \times 2 (2x - 1) \times 5 \\ = (2x - 1) \times 5 \\ = (10x - 5) \: {units}^{2} [/tex]
In a sample of voters in Harrisburg, 18 out of 25 favored creating a new shopping center. If 50,000 people vote in the next Harrisburg election, how many are likely to vote in favor of the new shopping center based on this sample?
Answers
Answer:
36,000 people are likely to vote in favour of the new shopping centre
Step-by-step explanation:
Given
Population = 50,000
Total Sample = 25
18 favoured opening a new shopping centre
Required
Likely number of people to vote in favor of the new shopping center.
First, we need to represent the sample in proportion.
Let p represent the proportion
Since 18 out of 25 are in support of opening a new center,
p = 18/25
Having solved for the proportion,the next step is to calculate the expected number of people.
This is calculated by multiplying p by the total population.
Given that population = 50,000
The expected outcome = 18/25 * 50,000
Expected outcome = 18 * 2,000
Expected outcome = 36,000
Hence, 36,000 people are likely to vote in favour of the new shopping centre
Answer:
36,000 voters
Step-by-step explanation:
Here we have a question on proportion
Proportion of voters that favored creating a new shopping center = 18/25
That is the point estimate of voters that favored creating a new shopping center = 18/25
Therefore, among 50,000 voters in Harrisburg the number of voters that are likely to vote in favor of the new shopping center, based on the point estimate of the sample is given by the following expression;
18/25 × 50,000 = 36,000 voters.
Examples of skew lines
Answers
Answer:
An example of skew lines are the sidewalk in front of a house and a line running across the top edge of a side of a house.
Step-by-step explanation:
:D
Final answer:
Skew lines are lines that do not intersect and are not parallel. Examples include a ladder leaning against a wall, non-parallel railway tracks, and a pencil and a ruler placed randomly on a table.
Explanation:
Skew lines are lines that do not intersect and are not parallel. They are in the same plane but do not lie on the same line. One example of skew lines is a ladder leaning against a wall. The ladder and the wall are in the same plane, but they do not intersect and are not parallel.
Another example of skew lines is a pair of non-parallel railway tracks. The tracks are in the same plane, but they do not intersect and are not parallel.
Finally, a pencil and a ruler placed randomly on a table can also be considered as skew lines. They are in the same plane, but they do not intersect and are not parallel.
3. Of the three expressions shown, which two
are equivalent?
3+2(9 + 2n) 7(3 + 4n) 21 + 4n
Answers
Answer:
the answer would be the first and last equation
Step-by-step explanation:
both equations equal 21+4n
Final answer:
After simplifying the expressions, it's found that 3 + 2(9 + 2n) simplifies to 21 + 4n, and the third expression is exactly 21 + 4n. These two expressions are equivalent.
Explanation:
To determine which two of the three expressions are equivalent, we need to simplify each expression and compare them.
Let's simplify each expression:
3 + 2(9 + 2n) = 3 + 18 + 4n = 21 + 4n
7(3 + 4n) = 21 + 28n
21 + 4n = 21 + 4n
Now, we can compare them:
The first expression, after simplification, becomes 21 + 4n.
The second expression is 21 + 28n, which is not equivalent to the first.
The third expression is exactly 21 + 4n, which is equivalent to the first expression.
So, the expressions 3 + 2(9 + 2n) and 21 + 4n are equivalent.
Determine which diagram could be used to prove AABC - AEDC using similarity transformations,
Answers
The diagram which could be used to prove AABC - AEDC using similarity transformations is A.
What are congruent triangles?Suppose it is given that two triangles ΔABC ≅ ΔDEF
Then that means ΔABC and ΔDEF are congruent. Congruent triangles; are exact same triangles, but they might be placed at different positions.
The order in which the congruency is written matters.
For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.
Thus, we get:
[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]
(|AB| denotes length of line segment AB, and so on for others).
We are given that;
The three figures in the picture
Now, in first figure
Angle BAC= Angle CED
(given)
Angle BCA= Angle ECD
(interior opposite angles)
So, both triangles are congruent
Therefore, by congruent triangles answer will be figure A.
Learn more about congruent triangles here:
https://brainly.com/question/16921692
#SPJ7
It costs $25 to buy 5 sandwiches from a vending machine. At this rate, what is the cost for 8 sandwiches?
Answers
Answer:
x = 40
Step-by-step explanation:
We can use a ratio to solve
$25 x
------- = --------
5 8
Using cross products
25*8 = 5x
200 = 5x
Divide each side by 5
200/5 = 5x/5
40 =x
A wire is needed to support a vertical pole 18 feet high. The cable will be
anchored to a stake 10 feet from the base of the pole. How much cable is
needed?
Answers
A sphere has been placed inside an cylinder with the same dimensions;both have a radius of 6cm,and a height of 12cm How many cubic centimeters of space does the sphere fill not fill up. A.432pi cm B.72 pi cm C.288 pi cm D.144 pi cm
Answers
Answer:
D
Step-by-step explanation:
Final answer:
To find the cubic centimeters of space not filled by the sphere in the cylinder, subtract the volume of the sphere (288π cm³) from the volume of the cylinder (432π cm³), yielding 144π cm³. Therefore, the correct answer is D. 144π cm³.
Explanation:
To determine how many cubic centimeters of space the sphere does not fill in the cylinder, we first need to calculate the volume of the cylinder and then subtract the volume of the sphere from it.
The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height. In this case, with a radius of 6 cm and height of 12 cm, the volume is:
[tex]V_{cylinder}[/tex] = π × (6 cm)² × 12 cm = 432π cm³.
The volume of a sphere is given by the formula V = 4/3 πr³. With a radius of 6 cm, the volume is:
[tex]V_{sphere[/tex] = 4/3 π × (6 cm)³ = 288π cm³.
The space the sphere does not fill up in the cylinder is:
Space not filled = [tex]V_{cylinder}[/tex] - [tex]V_{sphere[/tex] = 432π cm³ - 288π cm³ = 144π cm³.
Therefore, the answer is D. 144π cm³.
Help me ok thank you
Answers
Answer:
-422
Step-by-step explanation:
The elevation of the Dead Sea is 422 meters below sea level, meaning that it is -422.
The sum of two numbers increased by 5
Answers
Answer:
(x+y)+5
Step-by-step explanation:
To solve this, all you need is two variables to represent the 2 numbers. In this case, I used x and y. After that it says the sum of those 2 numbers increased by 5. All you need to know about that is that after x+y is done, you need to increase it by 5. So in this case,
(x+y)=5 satisfies the statement.
Isabelle stacked two wooden blocks as shown. What is the volume of the stacked blocks?
Answers
Part 1:-
=> Volume of cuboid = lbh
=> Volume of cuboid = 3 × 16 × 2
=> Volume of cuboid = 6 × 16
=> Volume of cuboid = 96 cm³
Part 2:-
=> Volume of traingle = bh
=> Volume of traingle = 10 × 4
=> Volume of traingle = 40 cm³
Now,
→ Total Volume = Vol. of cuboid + Vol. of traingle
→ Total Volume = 96 + 40
→ Total Volume = 136 cm³
Thanks!
Let me know if answer is wrong.
What is the value of x? 6 8 10 12
Answers
Answer:
Its 8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
PLEASE ANSWER ASAP!!!
Find the volume of the figure. Round to the nearest tenth, if necessary.
a regular hexagonal prism with base area 25 in? and height 8 in.
The volume of the figure is
Answers
Answer:
The volume of the figure is since you have to do width times height so 25 times 8 which would be 200 as your answer.
Hope it helps
Corri needs to get milk, eggs, bread, and cereal at the store. Since the bread is close to the cereal, Corri always picks up the cereal right after getting bread. List all of the different combinations of ways she can pick up the items she needs. Use the first letter of each item in your list (M, E, B, C)
Answers
Answer:
bread
cereal
milk
eggs
Step-by-step explanation:
Answer:mebc,embc, bcem,bcme.
Step-by-step explanation:
88 out of 132 in fraction form
Answers
Answer:
[tex]\frac{2}{3}[/tex]
Answer:
2/3
Step-by-step explanation:
Divide both the numerator and denominator by the GCD
88 ÷ 44
132 ÷ 44
Reduced fraction:
2
3
Therefore, 88/132 simplified is 2/3
Two nickels are what fraction of a dollar?
Answers
Answer:
1/10
Step-by-step explanation:
Answer:
2/20?
Step-by-step explanation: