Answer:
4. Converse of Corresponding Angles Postulate
Step-by-step explanation:
There are several theorems to prove line relationships in plane geometry.
The proof of parallel lines is done by
(3) Converse of Corresponding Angles Postulate(4) Converse of Same-Side Interior Angles TheoremTo prove that lines are parallel, we make use of the concept of line transversal.
The vertical angle theorem is based on two lines intersecting at a point
The alternate interior angle theorem is used to determine the congruence of angles in a transversal of parallel lines
The converse of corresponding angles postulate, and the converse of same-side interior angles theorem are used to determine if lines are parallel based on the angles on the transversal.
Hence, the true options are (3) and (4)
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Solve: (5x - 3y + 2z)²
Answer:
25[tex]x^{2}[/tex] - 30xy + 20xz + 9[tex]y^{2}[/tex] - 12yz + 4[tex]z^{2}[/tex]
Step-by-step explanation:
We multiply it out.
(5x - 3y + 2z) * (5x - 3y + 2z)
5x*5x + 5x*-3y + 5x*2z - 3y*5x - 3y*-3y -3y*2z + 2z*5x +2z * -3y +2z *2z
25[tex]x^{2}[/tex] - 15xy + 10xz - 15xy + 9[tex]y^{2}[/tex] - 6yz + 10xz - 6yz + 4[tex]z^{2}[/tex]
Add like terms
25[tex]x^{2}[/tex] - 15xy - 15xy + 10xz + 10xz + 9[tex]y^{2}[/tex] - 6yz - 6yz + 4[tex]z^{2}[/tex]
25[tex]x^{2}[/tex] - 30xy + 20xz + 9[tex]y^{2}[/tex] - 12yz + 4[tex]z^{2}[/tex]
I need help with my math to day.♀️
Answer:
8x + 1 + 6x + 5 = 90
14x + 6 = 90
14x = 84
x = 6
<DCB is 6x+5
6(6) + 5
36 + 5
41
Answer:
∠ DBC = 41°
Step-by-step explanation:
∠ DBC + ∠ DBA = 90° , substitute values
6x + 5 + 8x + 1 = 90, that is
14x + 6 = 90 ( subtract 6 from both sides )
14x = 84 ( divide both sides by 14 )
x = 6
Thus
∠ DBC = 6x + 5 = 6(6) + 5 = 36 + 5 = 41°
i need help i will give the brainleness thing to whoever can answer
Answer:
A=30cm, B=39cm
Step-by-step explanation:
They are an enlargement. Therefore, the sides are larger by the same proportion, otherwise, it wouldn't be an enlargement. Therefore, the bottom side of the big one is 3 times that of the small one. Therefore, the other sides are also 3 times, making A = 30cm and B = 39cm.
Answer:
A
12cm to 36cm is mulitiply by 3, so that means that you mutiply each of the other sides by 3 to get your answer
Enter the terms and the coefficients of the expression. −80 + 7p − 6z
Answer:
Step-by-step explanation:
Terms Coefficient
7p 7
-6z -6
-80 constant term
13. One-fourth of a number is the same as the square of -3
Which of the following is Equivalent to
3x - 4y = 6 ? Solve for y.
Answer:
Y = 3/4X - 3/2
Step-by-step explanation:
3X - 4y =6
3X - 6 =4Y
Y = 3/4X - 3/2
The value of Y for the expression 3x - 4y = 6 will be Y = 3/4X - 3/2.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given expression is 3x - 4y = 6. The value for y will be calculated as,
3X - 4y =6
Rearrange the above equation and solve for Y,
3X - 6 =4Y
Y = 3/4X - 3/2
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The area of a square is 8 square meters. Which of these
closest to the length of one side of the square?
F 2 meters
G 2.8 meters
4 meters
H 3.5 meters
Answer:
G.
Step-by-step explanation:
Length = Square root of Square area
= √8 (-√8 is rejected as length is positive)
We know that √4 < √8 < √9 because 4 < 8 < 9.
=> 2 < √8 < 3.
The only answer that is in this range is G.
what is -13.5 = 2.7x
X= -5
-13.5 ÷ 2.7= -5
-5=x
Answer:
x=5
Step-by-step explanation:
Please help!! Which of the following expressions is equivalent to (-7)^5? A)-7x-7x-7x-7x-7 B)-7x5 C)(-7)x7x(-7)x7x-7 D)5x5x5x5x5x5x5
(-7)^5 means that we are multiplying -7 to it self 5 times.
The only option that shows this is option A.
Best of Luck!
Answer:
7x7x7x7x7= 16807 A is correct.
Step-by-step explanation:7(77777) this means 7 is multiplying itself 5 times
Goodluck:)
Solve for x
x to the power of 2 = 49
Please assist me with this
Answer:
The answer is option AStep-by-step explanation:
To find the value of x when y = 24, we must first find the relationship between them
[tex]y \: \: \alpha \: \: \frac{k}{ \sqrt{x} } [/tex]where k is the constant of proportionality
when
x = 16
y = 2
Substitute the values into the above formula and solve for k
That's
[tex]2 = \frac{k}{ \sqrt{16} } \\ 2 = \frac{k}{4} [/tex]Cross multiply we have the answer as
k = 8
So the formula for the variation is
[tex]y = \frac{8}{ \sqrt{x} } [/tex]Now when y = 24
We have
[tex]24 = \frac{8}{ \sqrt{x} } \\ 24 \sqrt{x} = 8 \\ \sqrt{x} = \frac{8}{24} \\ \sqrt{x} = \frac{1}{3} [/tex]Square both sides
[tex]( { \sqrt{x} })^{2} = ( { \frac{1}{3} })^{2} [/tex]We have the final answer as
[tex]x = \frac{1}{9} [/tex]Hope this helps you
PLEASE HURRY, ITS TIMED >>>>...
Answer: the answer is A
Step-by-step explanation:
Two of the angles in a triangle measure 52 and 22 what must be the measure of the third angle
-1/2 (7z+4)+1/5(5z-15). Solve equation.
Answer:
-2.5(z+2)
Step-by-step explanation:
2x2 + 11x + 5
Factor the trinomial
Answer:
9+11x
Step-by-step explanation:
please i need help quick
There are 10 fifth-grade students attending a class field trip to the city’s art museum. If each admission ticket costs $6, what is the total cost of admission for the 10 students
Answer:
$60
Step-by-step explanation:
10x6=60. 6+6+6+6+6+6+6+6+6+6= 60
please help meeee!!!!!! complete the equation below. (4x)^-2(4x)^3(4x)^9 =(4x)______.
Answer for the blank is: 10
The exponents are -2, 3 and 9. Note how the bases are all the same at 4x. When we multiply exponential expressions like this, we add the exponents. So we'll get -2+3+9 = 1+9 = 10 as the final exponent over the base 4x
In short,
[tex](4x)^{-2}*(4x)^3*(4x)^9 =(4x)^{-2+3+9} = (4x)^{10}[/tex]
please help meeee!!!!!! complete the equation below. (4x)^-2(4x)^3(4x)^9 =(4x)=10
m = 4 and x-intercept of -2 in slope- intercept form.
Answer:
y = 4x + 8
Step-by-step explanation:
Slope-intercept form:
y = mx + bm = 4
y = 4x + bx-intercept = -2, it means x = -2, y = 0
(-2, 0)Using this point we get the value of b
0 = 4*(-2) + b ⇒ b = 8The form now is:
y = 4x + 8Which set of numbers is correctly ordered from least to greatest? [tex]A.) \frac{24\pi }{5\ } ,\frac{63}{4} ,15.758, 956\sqrt{e} \\\\B.)\frac{24\pi }{5\ } ,15.758, \frac{63}{4},956\sqrt{e} \\\\\\C.)956\sqrt{e} \,,15.758,\frac{63}{4} , \frac{24\pi }{5\ } \\ D.)956\sqrt{e} ,\frac{63}{4},15.758, \frac{24\pi }{5\ } \\[/tex]
A.) [tex]\frac{24\pi }{5} < \frac{63}{4} < 15.758 < 956\sqrt{e}[/tex] is the set of numbers correctly ordered from least to greatest (ascending order).
What is ascending order?
Ascending order is a method of arranging numbers from smallest value to largest value. The order goes from left to right. Ascending order is also sometimes named as increasing order.
[tex]\frac{24\pi }{5} = 15.0796\\\\\frac{63}{4} = 15.75\\\\956\sqrt{e} = 1576.177[/tex]
15.079 < 15.75 < 15.758 < 1576.177
[tex]\frac{24\pi }{5} < \frac{63}{4} < 15.758 < 956\sqrt{e}[/tex]
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The quotient of forty-five and a number, r
The quotient of 45 and r is 45r . A quotient is the result of a division. For example, 84=2 . So, 2 is the quotient.
The Palue of the digit in the hundredths place is
times as great as the digit in the tenths place.
Work it out
hop
Answer:The value of the digit in the hundredths place is 10 times as great as the value of the digit in the tenths place.
Explained: The model shows that your number is 0.11
We have to find what we can multiply to become the 1 in the tenths place. Since they are the same number but in different places, we just multiply it by 10 to change the value.
So, if you multiply 10 by the 1 in the hundredths place, it will get you to the 1 in the tenths place.
♡Hope it helps♡
Solve: 3x + 5 - 13x = 25
Answer: x = -2
Step-by-step explanation:
3x+5 -13x =25 combine like terms on the left side
-10x + 5 = 25 Subtract 5 from both sides
-5 -5
-10x = 20 Divide both sides -10
x = -2
Answer:
[tex]x = -2[/tex]
Step-by-step explanation:
If we have the equation [tex]3x+5-13x=25[/tex], we can isolate x on one side and find it's value.
Let's combine like terms.
[tex]-10x + 5 = 25[/tex]
Subtract 5 from both sides:
[tex]-10x + 5 - 5 = 25 - 5\\\\-10x = 20[/tex]
Divide both sides by -10:
[tex]-10x\div-10 = 20\div-10\\\\x = -2[/tex]
So [tex]x = -2[/tex].
Hope this helped!
Help with these 3 I will give u a thanks
Answer:
3.6/5, 4. 9, 5. 11/2
Step-by-step explanation:
3. 2/5/6
= 2× 6/5
= 12/5
4. 7/9/7
= 7× 7/9
= 9
5. 8/11/4
= 8×4/11
= 11/2
hope you understand this answer
sorry if the answer is wrong
(01.01 MC)Which number line shows the solution to 6 + (−6)? A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 12 is shown. A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to 6 is shown. Above this, another arrow pointing from 6 to 0 is shown. A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to positive 6 is shown. A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to 6 is shown. Above this, another arrow pointing from 6 to 12 is shown. PLS HELP ASAP !!!!!! WILL GIVE BRAINLIEST!!!!
Answer:
the first one
Step-by-step explanation: it worked for me i passed it
0.2(x + 1) + 0.5x = –0.3(x – 4)
Hard question please help. I had to repost because last time I wanted to give more points but I forgot to.
If [tex]\frac{\sin^2 3A}{\sin^2 A} - \frac{\cos^2 3A}{\cos^2 A} = 2[/tex] find what [tex]\cos2A[/tex] is.
Best Answer gets the reaming 15!
Have Fun!
Use the angle sum identities to expand [tex]\sin(3A)[/tex] and [tex]\cos(3A)[/tex]:
[tex]\sin(3A)=\sin(A+2A)=\sin A\cos(2A)+\cos A\sin(2A)[/tex]
[tex]\cos(3A)=\cos(A+2A)=\cos A\cos(2A)-\sin A\sin(2A)[/tex]
Use the double angle identity to expand [tex]\sin(2A)[/tex]:
[tex]\sin(2A)=2\sin A\cos A[/tex]
So we have
[tex]\sin(3A)=\sin A\cos(2A)+2\cos^2A\sin A[/tex]
[tex]\cos(3A)=\cos A\cos(2A)-2\sin^2A\cos A[/tex]
Then divide the first expression by [tex]\sin A[/tex] and the second by [tex]\cos A[/tex]:
[tex]\dfrac{\sin(3A)}{\sin A}=\cos(2A)+2\cos^2A[/tex]
[tex]\dfrac{\cos(3A)}{\cos A}=\cos(2A)-2\sin^2A[/tex]
Squaring these gives
[tex]\dfrac{\sin^2(3A)}{\sin^2A}=(\cos(2A)+2\cos^2A)^2=\cos^2(2A)+4\cos(2A)\cos^2A+4\cos^4A[/tex]
[tex]\dfrac{\cos^2(3A)}{\cos^2A}=(\cos(2A)-2\sin^2A)^2=\cos^2(2A)-4\cos(2A)\sin^2A+4\sin^4A[/tex]
Subtract the second expression from the first to get the original equation. The [tex]\cos^2(2A)[/tex] terms cancel, leaving us with
[tex]4\cos(2A)\cos^2A+4\cos^4A+4\cos(2A)\sin^2A-4\sin^4A=2[/tex]
Now, notice that
[tex]4\cos(2A)\cos^2A+4\cos(2A)\sin^2A=4\cos(2A)(\cos^2A+\sin^2A)=4\cos(2A)[/tex]
and
[tex]4\cos^4A-4\sin^4A=4(\cos^2A-\sin^2A)(\cos^2A+\sin^2A)=4\cos(2A)[/tex]
because [tex]\cos^2A+\sin^2A=1[/tex] and [tex]\cos^2A-\sin^2A=\cos(2A)[/tex].
So we're left with
[tex]4\cos(2A)+4\cos(2A)=8\cos(2A)=2\implies\boxed{\cos(2A)=\dfrac14}[/tex]
Solve the equation.
-0.3x = - 1.5
2/4+5/4= 6/12+14/12=
Answer:
7/4=5/3 is the answer
-. Six square-based pyramids fit exactly onto the six faces of a
cube of side 4 cm. If the volume of the object formed is
256 cm', find the height of each of the pyramids.
Answer:
60
Step-by-step explanation: