MAX POINTS ASAP MULTIPLE CHOICE WILL MARK BRAINLIEST ONLY CORRECT ANSWER
A conjecture and the two-column proof used to prove the conjecture are shown.
Given: the measure of angle C B D equals 90 degrees. Prove: triangle A B C is a right triangle. Ray B D extends down and perpendicular from point B on segment B C.
Drag an expression or phrase to each box to complete the proof.
Statement Reason
1. m∠CBD=90° Given
2. ∠ABC and ∠CBD are supplementary. Response area
3. Response area Definition of supplementary
4. m∠ABC+90°=180° Response area
5. Response area Subtraction Property of Equality
6. ∠ABC is a right angle. Definition of right angle
7. △ABC is a right triangle. Definition of right triangle
Answers
Answer:
I took the test
Step-by-step explanation: Linear pair postulate
m<abc + m<cbd =180°
subtraction property of equality
m<abc -90°
All expression and phrase are filled below.
Here,
We have to filled all expression and phrase.
What is right angled triangle?
A right-angled triangle is a triangle, which has one of its interior angles equal to 90 degree.
Now,
Given that;
⇒ m∠CBD = 90 degree ….(i)
We have to prove triangle ABC is right angled triangle.
We can see that the line extends down and perpendicular to the line segment BC at point B.
We can also see that ∠ABC and ∠CBD are supplementary angle.
Hence, We prove as;
Statement Reason
1) m∠CBD = 90 degree ( Given )
2) ∠ABC and ∠CBD are supplementary. ( Because ABD is a line and
∠ABC and ∠CBD are linear
pair)
3). ∠ABC+∠CBD = 180 degree ( Definition of supplementary)
4) ∠ABC+ 90 = 180 degree ( m∠CBD = 90 degree )
5) ∠ABC + 90 - 90 = 180° - 90° ( subtraction property of equality)
∠ABC = 180° – 90° (from (i))
∠ABC = 90 degree
6) ∠ABC is a right angle. ( Definition of right angle)
7) Δ ABC is a right triangle. ( Definition of right triangle)
Therefore, according to definition of right angled triangle,
The triangle ABC is a right angled triangle.
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Related Questions
Gordon, Henry and Sarah share £48 in a ratio 2:3:1. How much money does each person get?
Answers
Answer: Gordon:16
Henry: 24
Sarah:1
Step-by-step explanation:
Add up the ratios and divide 48 by 6(added up ratios) and you get 8. Multiply that by individual ratios.
translations can be moved along an vector at any time and still result in the same image true or false ?
Answers
Answer:
True................
Answer:
True
Step-by-step explanation:
What number(s) have the absolute value of 7? Why? (Must explain to receive credit)
Answers
Answer:
Why is | 7 | the absolute value of the number 7?
The absolute value of a number is how far away the number is from zero. The absolute value is ALWAYS positive.
What is the absolute value of -7?
The negative version of the number is also | 7 |
Step-by-step explanation:
Answer:
7 and -7
Step-by-step explanation:
Absolute value is the distance a number is from 0 on a number line. If you go back 7 spaces from positive 7 you will land at 0, and if you go up 7 spaces from -7 you will land at 0.
log 2 x=a then what is logx 36
Answers
Answer:
A is the answer
Step-by-step explanation:
please vote me
Someone help
5(3m-2)=20
Answers
solution :-
3m+2(m+2)=20-(2m-5)
=> 3m + (2m + 4) = 20 - (2m -5)
=> 5m + 4 = 20 -2m +5
=> 5m + 2m = 25 -4
=> 7m = 21
=> m = 3 answer
+10 +10
15m=30
m=2
24 divided by 7872
PLEASE HELP
Answers
Answer:
328 IF its 7,872 divided 24. If it 7,872 divided by 24 then it's 0.00304878049
Step-by-step explanation: Please mark as brainlest i really need to keep me motivated.
WILL GIVE BRAINLIEST PLEASE HELP ASAP!!!!
Answers
Answer:
I think the answer is C.
Answer:
Pretty sure it's A because if you divide rational by irrational it become irrational.
Step-by-step explanation:
Just like positive and negative numer!
Alexa is using 6 pounds of apples to make pies.
How many ounces of apples is Alexa using for the pies?
Answers
Answer:
96 oz
Step-by-step explanation:
There are 16 oz in a pound, so you do 16 * 6 = 96
An acute angle is less than 90°. Choose the inequality that represents the statement.
Answers
The inequality that represents the statement. "An acute angle is less than 90°"would be x < 90°.
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
WE have to find an inequality that represents the statement. "An acute angle is less than 90°".
Let x represent an acute angle.
Therefore, the inequality form as;
x < 90°
Hence, an inequality that represents the statement. "An acute angle is less than 90°"would be x < 90°.
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PLEASE HELPPPP IS ALGEBRA 1 it’s easy i guess :/
Answers
A ball is thrown vertically upward from the top of a building 224 feet tall with an initial velocity of 80 feet per second. The distance s (in feet) of the ball from the ground after t seconds is 224 0t 6ts = +8 −1 2a) After how many seconds does the ball pass the top of the building? b) After how many seconds does the ball strike the ground?
Answers
Answer:
i dont really know
Step-by-step explanation:
You can search t up on googl nd get the answer most lieyly
Student ID number consists of 6 characters. The first four
characters can be any number 1-9 without restrictions. The
last two characters are letters and cannot repeat. How
many student IDs are possible?
a) 6,760,000
b) 4,264,650
O C) 6,500,000
d) 78
Please hurry
Answers
Answer:
b. 4,264,650
Step-by-step explanation:
(9 * 9 * 9 * 9) * (26 * 25)
helpp me plzz i really need helppp
thanks!!!!!
Answers
Answer:
-14
Step-by-step explanation:
19
Tell whether the triangles are similar. Explain.
Please help!!!!!!!
Answers
Answer:
Step-by-step explanation:
Help this person she really needs help! XD
Simplify this expression. 17 - 12x - 18 - 5x = ??
Answers
-1 - 17x =
-1 = 17x
Name each polynomial by degree and number of terms. 1) 9x + 5
Answers
Answer:
1st degree binomial
Step-by-step explanation:
Answer:
1rst degree
binomial
Step-by-step explanation:
Which is the simplified form of p0?
Answers
Answer: 1
Step-by-step explanation:
4x+8y=20 and -2x+y=-15
System of equations?
Answers
Answer:
a
Step-by-step explanation:
Write the following sentence in if-then form
“ an acute angle has a measure less than 90”
Answers
Answer:
If the angle is less than 90 degrees, it is an acute angle.
Step-by-step explanation:
An animal reserve has 20,000 elk. The population is increasing at a rate of 13% per year. How long will it take for the population to reach 60,000? If necessary, round your answer to the nearest tenth. The population will reach 60,000 in approximately years.
Answers
I multiplied 20,000 by 0.13 and got 2,600. Then I subtracted 20,000 from 60,000 to get 40,000. Finally I did 40,000 / 2,600 and got 15.4
Can someone help please ??
Answers
Answer:
a)1 , 5 , 9 , 13 , 17, 21 , 25
Help me doing this plzzz
Answers
Answer:
4x³+8x²-x-2=4x².(x+2)-(x+2)=(4x²-1).(x+2)=(2x-1).(2x+1).(x+2)
Need help with this one fast
Answers
Answer:
a ≈ 43.64
hope this helps
Evaluate the equation for the indicated value, f(n)=5n+8 for f(4),
Answers
The value of the function f(n)=5n+8 for f(4) will be 28.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given function is f(n)=5n+8. The value of the function at equal to 4 will be calculated as below:-
f(n)=5n+8
f(4) = ( 5 x 4 + 8 )
f(4) = 20 + 8
f(4) = 28
Therefore, the value of the function f(n)=5n+8 for f(4) will be 28.
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least common factor of 7 3 and 5
Answers
Answer:
105
Step-by-step explanation:
3: 3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69,72,75,78,81,84,87,90,93,96,99,102,105
5: 5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100,105
7:7,14,21,28,35,42,49,56,63,70,77,84,91,98,105
Find the slope of (-2,1),(2,-2)
Answers
Answer:
-3/4 is the slope.
Step-by-step explanation:
Use this formula to find slope.
y2-y1/x2-x1
PLUG IN
-2 -1/2- (-2) = -3/4
The slope is -3/4
Answer:
[tex]\boxed {m = -\frac{3}{4}}[/tex]
Step-by-step explanation:
Use the Slope Formula to help you determine the slope of the two following points:
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
(where [tex](x_{1}, y_{1})[/tex] is the first point and [tex](x_{2}, y_{2})[/tex] is the second point)
-Apply both points to the formula:
[tex](x_{1}, y_{1}) = (-2, 1)[/tex]
[tex](x_{2}, y_{2}) = (2, -2)[/tex]
[tex]m = \frac{-2 - 1}{2 + 2}[/tex]
-Solve:
[tex]m = \frac{-2 - 1}{2 + 2}[/tex]
[tex]m = \frac{-3}{4}[/tex]
[tex]\boxed {m = -\frac{3}{4}}[/tex]
Therefore, the slope is [tex]-\frac{3}{4}[/tex].
question.
Contrast the plate movements that cause the stresses in diagrams B and C How did geography affect the way Greeks made their livings?
Answers
Answer:
1. Greece made most of their living from the sea.
2. They became fishers and sailors to get food.
3. On their peninsula they had many different ways to trade with other countries.
4. Greece's mountains aren't good for growing crops, although their climate was mild ,so they could grow wheat, barley, olives, and grapes.
5. Since Greece's sea's are dived from one another, it make trading fiercely independent.1. Greece made most of their living from the sea.
2. They became fishers and sailors to get food.
3. On their peninsula they had many different ways to trade with other countries.
4. Greece's mountains aren't good for growing crops, although their climate was mild ,so they could grow wheat, barley, olives, and grapes.
5. Since Greece's sea's are dived from one another, it make trading fiercely independent.
the product of two odd numbers
Answers
Answer:
Odd
Step-by-step explanation:
2 odd numbers will always create another odd number.
Hello pls helppppppppppp
Answers
Answer:
B
Step-by-step explanation:
Answer:
For example, if we multiply the numerator and denominator of 2/3 by 4 we get. 2/3 = 2×4 / 3×4 = 8/12 which is an equivalent fraction of 2/3. t is 12/20 Simplified? - 3/5 is the simplified fraction for 12/20.This equation shows how the total number of souvenirs Mark buys is related to the number of days he spends on vacation. s = d The variable d represents the number of days he spends on vacation, and the variable s represents the total number of souvenirs he buys. How many days will Mark have to spend on vacation before he will have bought a total of 12 souvenirs?
Answers
Answer:
12 days
Step-by-step explanation:
Given:
s = d
Where,
d = number of days he spends on vacation
s = total number of souvenirs he buys
How many days will Mark have to spend on vacation before he will have bought a total of 12 souvenirs?
s = 12
Since,
s = d
Then,
12 = d
Therefore, Mark will have to spend a total of 12 days on vacation before he will have bought a total of 12 souvenirs
