Answers
The statement, "Isosceles triangle may be obtuse or acute but not right", is a false statement.
Isosceles triangles can be defined as triangles that have two sides (angles) having equal measures.
Obtuse triangles have at least one angle greater than 90°.
Acute triangles have all three angles less than 90°.
Right triangles have one of the angles 90°.
Consider a right triangle ABC.
So, one of the angles, let it be A, will be right.
So, m ∠A = 90°.
By the angle sum property of triangles,
90° + m∠B + m∠C = 180°
m∠B + m∠C = 90°
Let both angles are having equal measures, let it be x.
x + x = 90°
2x = 90°
x = 45°
So, each of the angles has a measure of 45°, and so is an isosceles triangle since the two angles are equal.
So, a right triangle can be isosceles.
Hence the statement is false.
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Related Questions
The Murphys are on vacation and want to go on a helicopter tour. The tour itself costs $125 per person and they also have to pay a fuel fee of $50. If there are four people in the family, how much will the tour cost them?
Answers
= 500 + 50
= $550
The answer is, indeed, $550.
Using the following production tally, determine how many total mousetraps were produced during a shift:
Quantity per package: 60
Number of packages you sealed: 41
Starting quantity in first package (from previous shift): 52
Ending quantity in your last unsealed package (leave for next shift): 24
Rejected mousetraps: 34
Answers
No. of Packages sealed
= (1 for PreviousShift) + (40 for MyShift) = 41.
PreviousShift top-up: (60-52)
MyShift sealed: (40x60) [for MyShift’s production only]
MyShift unsealed: 24
Rejected: 34
Total = 8 + 2400 +24 + 34
= 2466
i answered this question on yahoo as well
Find the equation of the line perpendicular to x−5y=15 that passes through the point (−2,5).
Answers
[tex]\bf x-5y=15\implies x-15=5y\implies \cfrac{x-15}{5}=y\implies \stackrel{slope}{\cfrac{1}{5}}x-3=y[/tex]
now, notice the function in slope-intercept form, well, it has a slope of 1/5.
now, a perpendicular line to that one, will have a negative reciprocal to that, let's check what that is.
[tex]\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad \cfrac{1}{5}\\\\ slope=\cfrac{1}{{{ 5}}}\qquad negative\implies -\cfrac{1}{{{ 5}}}\qquad reciprocal\implies - \cfrac{{{ 5}}}{1}\implies -5[/tex]
so, we're looking for the equation of a line whose slope is -5 and goes through -2,5.
[tex]\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ -2}}\quad ,&{{ 5}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies -5 \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-5=-5[x-(-2)] \\\\\\ y-5=-5(x+2)\implies y-5=-5x-10\implies y=-5x-5[/tex]
1. Solve the given equation for y.
x - 5y = 15
-5y = -x + 15
y = (-x + 15)/-5
y = (x/5) - 3
y = (1/5)(x) - 3
The slope is 1/5. See it?
The equation we are looking for has a slope which is the negative inverse of the slope in the equation we just solved for y.
The slope for the equation we want is -5 which is the negative inverse of 1/5. Undetstand?
We have the slope of the new equation and one point is given.
Plot BOTH into the point-slope formula and solve for y. To solve for a variable means to isolate the variable ALONE on one side of the equation.
y - y_1 = m(x - x_1)...This is the point-slope formula. Our given point is (5,-2)
y - 5 = -5(x - (-2))
y - 5 = -5(x + 2)
We now solve for y and that's it.
y - 5 = -5x - 10
y = -5x - 10 + 5
The equation we want is y = -5x - 5.
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write the number in expanded form 259,341
Answers
Jordan has 260 basketball cards. He divides them into 4 equal groups. How many cards are in each group?
Answers
Jordan has 260 basketball cards and divides them evenly into 4 groups, resulting in 65 cards per group.
Jordan has 260 basketball cards and wants to divide them into 4 equal groups. To find the number of cards in each group, we need to perform a simple division. By dividing 260 by 4, we get:
Divide 260 by 4.
260 \/ 4 = 65.
Each group will have 65 cards.
Therefore, Jordan will have 65 basketball cards in each of the four groups.
Of the students at Milton Middle School, 99 are girls. If 45% of the students are girls, how many total students are there at Milton Middle school?
Answers
220-99=121
220
Colin took out a loan with a principal of $32,800. After five years, the interest and principal totaled $48,872. If Colin made monthly payments of $816 for five years until the loan was paid off, how much did Colin pay in service charges? a. $16,072 b. $88 c. $16,160 d. $163
Answers
If the P and I totaled 48872, then...
48960 - 48872= 88
The service charges were $88 B.
The service charges would be, $88
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
Colin took out a loan with a principal of $32,800.
And, After five years, the interest and principal totaled $48,872.
Now,
The value of principal amount is,
⇒ 816 × 5 × 12 = 48960
Now, We get;
Amount of Colin pay in service charges is,
48960 - 48872= 88
Hence, The service charges were $88
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What ratio correctly compares the measurements 10,000 cm to 1000 m? Drag and drop the appropriate numbers into the boxes to show the ratio in the simplest form.
Answers
How do you rename 4 thousands 7 hundreds = 47?
Answers
hope this helps
if you meant decimals, it will be
0.047
Surface area of a cylinder with a diameter of 14 and height is 9
Answers
C=pi*d = pi(14); height = 9. Then the surface area of the side(s) is 14(pi)(9).
If you wish to include the areas of the top and bottom of the cylinder, add
2(pi)r^2 = 2(pi)(7)^2.
how to write 412.638 using fractions
Answers
your answer is 412 638/1000
or 412 63.8/100
hope this helps
the fully shaded grid shows 1. EXPLAIN how these three models are related
Answers
A car is tracing at a rate of 72 kilometers per hour. What is the car rates in kilometers per min? How many kilometers will the car travel in 5 mins
Answers
72km/60 minutes= 1.2 km per minute
1.2(5)= 6 km
The car’s unit rate is 1.2 kilometers per minute and the car travel 6 kilometers in 5 minutes.
Hope this helps!
In 5 minutes, the car will travel 6 kilometers.
To convert the car's speed from kilometers per hour to kilometers per minute, we need to divide the given rate by the number of minutes in an hour, which is 60. So, for a car traveling at 72 kilometers per hour, the rate in kilometers per minute is:
72 km/hr / 60 = 1.2 kilometers per minute.
Now, to calculate how many kilometers the car will travel in 5 minutes, we simply multiply the rate in kilometers per minute by the number of minutes:
1.2 km/min * 5 min = 6 kilometers.
Therefore, the car will travel 6 kilometers in 5 minutes at the rate of 72 kilometers per hour.
Subtract using the number line. −4−(8)
Answers
Answer:
-12
Step-by-step explanation: I Took K12 TEST
How do I FULLY answer this question. I have 2/4 marks
Answers
2x + 50 = 5x -55. By subtracting 2x from both sides and adding 55 to both sides, you get 3x = 105. x = 35.
Showing that 2(35) + 50 = 120 and 5(35) - 55 = 120 is enough to show that they are parallel.
Also another way would be adding x+25 and 2x + 50 and setting them equal to 180 like you did. OR as mentioned, 2x + 50 is the same angle as 5x - 55 so you can add 5x - 55 and x + 25 and set them equal to 180.
A company wants to decrease their energy use by 15%. If their electric bill is currently $1300 a month, what will their bill be if they are successful?
Answers
What is the equation for the linear model in the scatter plot obtained by choosing the two points to the closest line?
y=-1.5 X +6
yEquals 1.5 X +6
Answers
slope = (36 - 12)/(20-4) = 24 / 16 = 3/2 = 1.5
y intercept (0,6) b = 6
equation
y = 1.5x + 6
answer
b. y = 1.5x + 6
The equation for the linear model in a scatter plot can be determined by selecting any two points closer to the line and utilizing them to find its slope and y-intercept. This information is then used to write the equation y = mx + b, where m is the slope and b is the y-intercept.
Explanation:The question pertains to the equation of the linear model in a scatter plot which basically describes the best fit line passing through the points on the plot. In simple terms, in a scatter plot if you choose any two points closer to the line, we can use these to determine the equation of that line.
Suppose you have two points (x1, y1) and (x2, y2), where x represents the independent variable and y is the dependent variable. To find the slope (m) of the line, we use the formula: m = (y2 - y1) / (x2 - x1). Once the slope is determined, we proceed to find the y-intercept (b), which is the y-value where the line crosses the y-axis.
The general form of a linear equation is y = mx + b. Hence, using the values of slope and y-intecept obtained earlier, we can write the equation of our line. For example, in the equations given in the question, -1.5 and 1.5 are the slopes and 6 is the y-intercept.
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About 11/12 of a golf course is in the fairways, 1/18 in the greens, the rest in the trees. What part of the golf course is in the trees?
Answers
Write the contrapositive of the conditional statement. If a polygon is regular, then it has congruent angles and congruent sides.
Answers
forming a contra positive statement involves switching the hypothesis and the conclusion portions of conditional statement and negating both.
Rewrite the following statement using a number in scientific notation.
The diameter of a certain bacterium is about
0.00000002
0.00000002 meters.
Answers
since 2 is the first significant digit, a nonzero, then we move the dot that way, it just so happen it's 8 spots to the right.
Line ET is a tangent to circle A at point T and the measure of ∠TNG is 25°
What is the measure of ∠NET?
A) 130°
B) 50°
C) 65°
D) 90°
Answers
Answer:
C) 65°
Step-by-step explanation:
G ∈ NE, so ∠TNG = ∠TNE. ∠ATE = 90° because a radius (AT) is always perpendicular to a tangent line (ET) at the tangent point (T). A ∈ TN, so ΔTNG is a right triangle, and angles NET and TNE are complementary. Then ...
... ∠NET = 90° - ∠TNG
... = 90° - 25°
... ∠NET = 65°
Simplify the expression
–5.6 + 8.2
Answers:
–2.6
–13.8
2.6
13.8
Answers
8.2 - 5.6 = 2.6
Hope this helps!
The answer is 2.6 because with a - and + you subtract the two number and whichever is the highest number that is the sign that you put. In this case, the highest number is a +8.2 so your answer will be POSITIVE.
If the highest number was a negative for example, 5.6+ -8.2 then your answer will be -2.6
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Which function represents a reflection of f(x) = 5(0.8)^x across the x-axis?
g(x) = 5(0.8)^–x
g(x) = –5(0.8)^x
g(x) = (0.8)^x
g(x) = 5(–0.8)^x
Answers
Answer: The correct option is second.
Explanation:
The given function is,
[tex]f(x)=5(0.8)^x[/tex]
If we graph a function is f(x), then its coordinates is defined as (x,f(x)).
When the graph of f(x) is reflect across the x-axis, then the the x-coordinate remains the same and the sign of y-coordinate is changed. It means after reflecting across the x-axis,
[tex](x,y)\rightarrow(x,-y)[/tex]
The given given equation can be written as,
[tex]y=5(0.8)^x[/tex]
To find the equation of the graph after reflection across the x-axis multiply both sides by -1.
[tex]-y=-5(0.8)^x[/tex]
Because f(x)=y and g(x)=-y.
[tex]g(x)=-5(0.8)^x[/tex]
Therefore the second option is correct and the graph of both function is given below.
Answer:
B. g(x) = –5(0.8)^x
Step-by-step explanation:
We have the function, [tex]f(x) = 5(0.8)^x[/tex].
It is required to reflect the function about x-axis.
Now, as we know,
Reflection across x-axis will flip the graph of the function and the function [tex]f(x)[/tex] becomes [tex]-f(x)[/tex].
So, the reflection of [tex]f(x) = 5(0.8)^x[/tex] across x-axis will give the function [tex]f(x) = -5(0.8)^x[/tex]
So, we see that,
Option B i.e. [tex]g(x) = -5(0.8)^x[/tex] is correct.
Write a linear equation that models the cost y of one person going on x rides at the fair. Graph the equation. Admission is $12 and rides are a $1 each. Please help
Answers
PLEASE ANSWER IVE BEEN WAITING FOR AN HOUR
Rachel earned 34 in 4 hours at her job today she wants to know how much she could earn (e) tommorow if she works 10 hours at the same hourly rate
A. E/34 = 4/10
B. 34/4 = E/10
Solve the proportion to determine how much Rachel will earn in 10 hours.
Answers
------- . Set this = to --------
4 hr 10 hr
$34 x
_____ = --------- Cross multiply: ($34)(10 hr) = 4(hr)x
4 hr 10 hr
Cancel "hr" on both sides. Then $340 = 4x, and x = $85.
She could earn $85 working 10 hours.
a triangle is reflected across the line x=2. which of the following is true?
A. the image and pre-image have the same orientation.
B. the image and pre-image have different sizes.
C. the image and pre-image are congruent.
D. the image and pre-image are separated by a given angle.
Answers
Answer: C
Step-by-step explanation:
Answer:
C. the image and pre-image are congruent.
Step-by-step explanation:
a triangle is reflected across the line x=2
Check with each option
A. the image and pre-image have the same orientation.
The image will not be in same order
B. the image and pre-image have different sizes. the size will not change
C. the image and pre-image are congruent. the reflection will not change the size. so they are congruent
D. the image and pre-image are separated by a given angle.
The angles never change in reflection
How to do you simplify
1/5(40x^5+13x^3-3x-5)-(3x^5-5x^3+5x)
Answers
Simplify.
[tex]1/5(40x^5+13x^3-3x-5)-(3x^5-5x^3+5x)[/tex]
Distribute the Parenthesis.
[tex]8x^5+2.6x^3-0.6x-1-3x^5+5x^3-5x[/tex]
Combine Like Terms.
[tex]8x^5-3x^5+2.6x^3+5x^3-0.6x-5x-1[/tex]
The Answer Is:
[tex]5x^5+7.6x^3-5.6x-1[/tex]
Hope this helps.
-Benjamin
Evaluate 11x-4 when x=_4
Answers
x=4:
11(4) - 4 = 44 - 4 = 40
x = -4:
11(-4) - 4 = -44 -4 = -48
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If a line of one billion people standing shoulder to shoulder stretches 346,439 miles long, what is the average shoulder width, in feet, of the people in the line?
Answers
Given a line of one billion people extending for 346,439 miles, the average shoulder width of a person in the line is approximately 1.83 feet.
Explanation:To find the average shoulder width of the people in the line, we need to convert the total miles into feet, since the result wanted is in feet. There are 5,280 feet in one mile. So the total length in feet would be 346,439 miles * 5,280 feet/mile = 1,829,029,920 feet. Now, if there are 1 billion people in this line, then the average width of a person's shoulders would be the total length divided by the total number of people. Hence, the average shoulder width = 1,829,029,920 feet / 1,000,000,000 people = approximately 1.83 feet.
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Please help me!! How do you solve 4x+8=2x+7+2x-20. Thank you
Answers
4x + 8 = 4x - 13
8 = -13
no solution.
hope that helps, God bless!