Answers
Given:
[tex]\Delta MAT\cong \Delta MHT[/tex] and [tex]m\angle 2=82^\circ[/tex].
To find:
Whether [tex]m\angle 1=47^\circ[/tex] is possible or not.
Solution:
We have,
[tex]\Delta MAT\cong \Delta MHT[/tex]
[tex]\angle AMT\cong \angle HMT[/tex] (CPCTC)
[tex]m\angle 3=m\angle 8[/tex] ...(i)
And,
[tex]m\angle 1=m\angle 8[/tex] ...(ii) (Vertically opposite angles)
From (i) and (ii), we get
[tex]m\angle 1=m\angle 3[/tex] ...(iii)
Now,
[tex]m\angle 1+m\angle 2+m\angle 3=180^\circ[/tex] (Linear pair)
[tex]m\angle 1+82^\circ+m\angle 1=180^\circ[/tex] (Using (iii))
[tex]2m\angle 1=180^\circ-82^\circ[/tex]
[tex]2m\angle 1=98^\circ[/tex]
Divide both sides by 2.
[tex]m\angle 1=\dfrac{98^\circ}{2}[/tex]
[tex]m\angle 1=49^\circ[/tex]
The measure of angle 1 is 49 degrees so it cannot be equal to 47 degrees.
Therefore, the required answer is "no", the given statement [tex]m\angle 1=47^\circ[/tex] is not possible.
Related Questions
Clara states that r 2 1 5r 1 3r is an equivalent expression to 9r. Why is Clara’s statement incorrect? Choose all that apply. A The expression r 2 1 5r 1 3r simplifies to r 2 1 8, which is not equivalent to 9r. B When you substitute 1 for r in both expressions, r 2 1 5r 1 3r has a value of 10 and 9r has a value of 9. These values are not equal. C The expression r 2 1 5r 1 3r simplifies to 10r, which is not equivalent to 9r. D When you substitute 2 for r in both expressions, r 2 1 5r 1 3r has a value of 20 and 9r has a value of 18. These values are not equal. E When you substitute 4 for r in both expressions, r 2 1 5r 1 3r has a value of 48 and 9r has a value of 36. These values are not equal. F The expression r 2 1 5r 1 3r simplifies to r(r 1 8), which is not equivalent to 9r.
Answers
Answer: A and D
Step-by-step explanation: I got it right
Which term has the definition "The value that is half way between the minimum and the median
Answers
0.009 in scientific notation
Answers
Answer:
9 x 10^-3
Step-by-step explanation:
(6x+y)(6x-7) What is the answer?
Answers
= 6x + 6x - 6x × 7 + 6xy - 7y
36x2 - 42x + 6xy - 7y
which is bigger or equal 6 gallons or 96 pints
Answers
Answer:
96 pints
Step-by-step explanation:
A. 25-3x=40
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its a neg #
Answers
Answer:
-3x= 40-25
-3x=15
x=15÷3
x=5
Tyrone has 16 model airplanes on his shelf. He has 4 times as many model airplanes as model trains. How many model trains does Tyrone have?
Write multiplication and division equations to model and solve the problem. Use m for the unknown
Answers
Answer:
Step-by-step explanation:
m=16/4 this one is division
16= 4*m multiplacation
Y=x^4-4x^3.FInd the value of u when x=-1
Answers
Two parallel lines are cut by a transversa
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word problem that represents 8 times -0.25
Answers
Answer:
If bob buys 8 choclates, which each of them are 0.25 dollars each, how much money does he have if he has 0 dollars?
Step-by-step explanation:
PLEASE HELP ME!
Answer in as much detail as needed please! Im giving 15 points for the best one!
Answers
Step-by-step explanation:
The answer is 220in^2 and hope it's useful and helpful to you.
10 - 20 - 20 - 20 -20 2- + 1000
Answers
Answer:
928
Step-by-step explanation:
Answer: It would be 1252
which even number is a prime number
Answers
Answer:
2
Step-by-step explanation:
The only even number which is a prime is 2. It is the smallest prime number. Except 2, all other prime numbers are odd numbers.
Answer:
Answer is 2
Step-by-step explanation:
The only even number which is a prime is 2. It is the smallest prime number. Except 2, all other prime numbers are odd numbers.
I hope it's helpful!
Totally out of points
Need triangle geom help !
Answers
Answer:
B. ∠BAC
Step-by-step explanation:
The angle opposite the largest side has the largest angle.
In this figure, angles R and S are complementary. Find the measure of angle S.
S
62°
R
PLEASE HELP ASAP
Answers
Answer:
Angle S is 28 degrees.
Step-by-step explanation:
You know angle R is 62 degrees and that angle Q is 90 degrees because the angle is marked by a teeny square (as I like to call it). You ten can add these two angles together and you will get the angle of 152 degrees. And as you should know that all angles of a triangle added together are 180 degrees you just take 180 degrees and subtract it with the two known angles added together. Thus you know that the final answer to S is 28 degrees.
Learning task 1
week 7
Answers
Answer:
A to D is a diameter
M is a center
F to M is a radius
E is a tangent lines
H to A is a chord
C to E is an arc
Joong Ki paid a total of ₱90 for 6 singkamas and 11 ponkans. If a singkamas and a ponkan cost ₱10, how much does each cost? ANSWER: Singkamas is ₱___ while ponkan is ₱___. *
Answers
Step-by-step explanation:
singkamas: 60 pesos
ponkan: 110 pesos
The six sided of number cube are labeled 1,2,3,4,5 and 6. You flip a coin and roll the number cube. What is the theoretical probability that the coin lands on heads and roll a number greater than 2?
Answers
heads = 1/2
>2 = 2/3
2/3 x 1/2 = 1/3
Answer:
1 / 3what's the value of
[tex](2 \sqrt{2}) {}^{2} [/tex]
chess ?
Answers
Answer:
jbtcxey5x6ivb
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
(2√2)^2
= (2^2× √2^2)
=(4×2)
=8
I need help getting started
Answers
2.-7/6
3.3/4
4.-1/4
5.-5/4
6.-1/2
7.-3/4
8.-5/3
What is the ratio of new books to used books?
15 books 7 of these books are new . The rest of them are used
Answers
Answer:
7 to 8
Step-by-step explanation:
7-15=8
WILL MARK BRAINLEST
Answers
Answer:
x=13
Step-by-step explanation:
62+(4x+7)+(6x-5)+41+(3x+6)+(7x-11)=360
62+4x+7+6x-5+41+3x+6+7x-11=360
100+20x=360
20x=360-100
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x=260/20
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first come first served
Answers
Answer:
10. 32 mpg
12. 5 1/3 grams = 1 serving
14. 0.8 cent per can
16. 1/2 kg = 1 foot
18. 8 7/10 meters in 1 hour
Step-by-step explanation:
10. 256/8=32
12. if 4=3/4 then ?=4/4. to find 1/4 divide both by 3, 3/4 divided by 3 = 1/4, 4 divided by 3=1 1/3. then to find 4/4 multiply both by 4, 1/4x4=4/4, 1 1/3x4=5 1/3 so 5 1/3=1
14. 4.8/0.6=0.8
16. if 1/3=2/3 then ?=3/3. to find 1/3 divide both by 2, 2/3 divided by 2=1/3, 1/3 divided by 2 = 1/6. then to find 3/3 multiply both by 3, 1/3x3=3/3, 1/6x3=1/2
18. if 21 3/4=2 1/2 then ?=2/2. to find 1/2 divide both by 5, 2 1/2 divided by 5=1/2, 21 3/4 divided by 5 = 4 7/20. then to find 2/2 multiply both by 2, 1/2x2=2/2, 4 7/20x2=8 7/10
What is the product of these two binomials?
(x^2 - 5)(2x - 1)
Answers
Step-by-step explanation:
Please refer to the attachment
Would it be a b c or s please answer fast
Answers
Answer:
Step-by-step explanation:
it is your first choice
-4.4+3.6[tex]\geq[/tex]1.6x
-0.5[tex]\geq[/tex]x
The dimensions for a rectangular prism are x + 3 for the length, x + 2 for the width, and x for the height. What is the volume of the prism? Enter your answer as a polynomial in standard form.
Answers
Answer:
the answer will be x^3 + 2x^2 + 9x
Step-by-step explanation:
as :
volume = l* w* h
= X * (X + 2) * (X + 3)
= X ^ 2 + 2 X (X + 3)
= x ^2 (X + 3) + 2x (X + 3)
= x^3 + 3x +2x ^2 + 6x
= x^3 + 2x^2 + 9x
help i dont understand how to do this the question is "Put your answer in decimal form."
Answers
Answer:
x = 2.5
Step-by-step explanation:
Hypotenuse ² = opposite ² + adjacent ²
(x + 4)² = x² + 6²
x² + 8x + 16 = x ² + 6²
x² + 8x + 16 - x² = 6²
8x + 16 = 36
8x = 36 - 16
8x = 20
x = 20/8
x = 2.5
A dairy facility has a bulk milk tank that is shaped like a right circular cylinder. The
tank has a height of 12 feet and a diameter of 216 inches.
Answers
Answer:336
Step-by-step explanation:
12
216 = 336
i need help with this problem
Answers
11-8
--------
5-4
=
3
----
1
= 3
Answer:
y = 3x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 2) and (x₂, y₂ ) = (3, 5) ← 2 points on the line
m = [tex]\frac{5-2}{3-2}[/tex] = [tex]\frac{3}{1}[/tex] = 3
The line crosses the y- axis at (0, - 4) ⇒ c = - 4
y = 3x - 4 ← equation of line
Can someone help me. I need to show the box method also can someone show me.
Answers
there's a 3 on the left of the box it got cut out. you jus multiply 3 by 6000, 200, 50, nd 3,, n then add the numbers tht you get in the boxes and if you see my bad handwriting, no you didnt
