Answer:
6. Side Angle Side (SAS)
7. Definition of congruence
Step-by-step explanation:
With the condition that ΔVWX and ΔTUX are equilateral, then the proof are stated below:
Statement Reason
1. ΔVWX is equilateral Given
2. ΔTUX is equilateral Given
3. VX ≅ WX Definition of equilateral triangle
4. TX ≅ UX Definition of equilateral triangle
5. <TXW ≅ <UXV Vertical Angle Theorem
6. ΔTWX ≅ ΔUVX Side Angle Side (SAS)
7. UV ≅TW Definition of congruence
Determinar el ángulo NPO, si el ángulo PON es igual a 132 grados y el segmento NP es bisectriz del ángulo P y N.
Aquí les dejo una pista, la respuesta correcta es: 24 grados.
The measure of ∠NPO is equivalent to 24°.
What are angles?In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes. These are called dihedral anglesGiven is that if the angle PON is equal to 132 degrees and the segment NP is bisector of the angle P and N.
Now -
OP = ON
So, this means that ∠OPN = ∠ONP = x° {say}
We can write -
∠OPN + ∠ONP + 132° = 180°
2x = 48°
x = 24°
Therefore, the measure of ∠NPO is equivalent to 24°.
To solve more questions on angles, visit the link below -
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{
Question in English is as follows -
Determine the angle NPO, if the angle PON is equal to 132 degrees and the segment NP is bisector of the angle P and N.
Here's a hint, the correct answer is: 24 degrees.
}
Please help this is the only one im stuck on...10 points
evaluate the expression for n = 2.
3 − 6n =
Answer:
9 is the answer
Step-by-step explanation:
3- 6(2) = 9
Answer:
9
Step-by-step explanation:
(6)×2-3. = 12-3=9. hope helpful answerWhat would it be I got it wrong ?
The base and height in a figure are always what?
Answer:
Perpendicular
Step-by-step explanation:
By definition, the base and height of a figure must always intersect at a [tex]90^{\circ}[/tex] angle. Therefore, they are always perpendicular.
Describe the graph of the linear function with this equation: y + 3 = 1/3 (x-2)
Answer:
it has a slope of 1/3 and a point on the graph is (2,-3)
Step-by-step explanation:
Question and choices are in the photo please explain the answer
Answer:
B
Step-by-step explanation:
expand the brackets
2x² - x + 10x -5 = 3x + 15
combine like terms
2x² + 9x - 5 = 3x + 15
2x² + 6x - 20 = 0
divide through by 2
x² + 3x - 10 = 0
factorise
determine factors of -10x² that would add up to 3x
they are 5x - 2x
(x² -2x) (5x - 10)
x(x - 2) +5(x-2)
x + 5 = 0
x = -5
x - 2 = 0
x = 2
Find the sum of the following series. Round to the nearest hundredth if necessary,
3 + 6 + 12+ ... +49152
Sum of a finite geometric series:
Q] - a
Sn =
1-T
Answer:
[tex]sum = \frac{a( {r}^{n - 1} )}{r - 1} \\ : but \: l = a( {r}^{n - 1} ) \\ 49152 = 3( {2}^{n - 1} ) \\ 16384 = {2}^{n - 1} \\ {2}^{n} = 32768 \\ {2}^{n} = {2}^{15} \\ n = 15 \\ \therefore \: sum = \frac{3(2 {}^{15 - 1}) }{15 - 1} \\ = \frac{49152}{14} \\ = 3510.9[/tex]
Lacy got a $100 gift card to an online clothing store. She
uses the gift card to buy a pair of pants for $19.99. She
also wants to use the gift card to buy some shirts. Each
shirt costs $11.69.
Which of these inequalities describes this situation, where
n is the number of shirts Lacy wants to buy?
Answer:
80.01>11.69n
Explanation:
100-19.99=80.01
she has 80.01 dollars to spend on shirts. The shirts are 11.69 with n being the number of shirts. we have to take off 19.99 because she bought the pants so the total has to be less then 80.
Need done by 08.00 today
An iron ball has a density of 6 g/cm3.
The volume of the ball is 13 cm3.
What is the mass of the ball?
Step-by-step explanation:
Mass = Density × Volume or m=pV
Density = 6
Volume = 13
6 × 13 = 78
The mass of the iron ball is 78.
===================================================
Work Shown:
d = density = 6 grams per cm^3
m = mass = unknown
v = volume = 13 cm^3
--------
d = m/v
dv = m
m = dv
m = 6*13
m = 78 grams
Find a equation of a line that is perpendicular to y=-4x+3 and passes through the point (4,-1)
Answer:
y = (-1/4)x
Step-by-step explanation:
the factor of x is in a line equation the slope of the line.
it residents actually the ratio of y/x.
in our original equation that means that for every change of x by 1 unit y changes by 4 units (actually -4 units) => -4/1 ratio.
a perpendicular line just reverses that ratio.
now, x had to change by 4 units for y to change by 1 unit (actually -1 unit)
=> -1/4
so, our wanted line equation must be in the form of
y = (-1/4)x + c
c is the offset of the line from the (0,0) point in y direction.
so, what is c ?
now we use the information of the point that is stored to be in that line : (4,-1)
=> -1 = (-1/4)×4 + c
=> -1 = -1 + c
=> c = 0
therefore, the desired line is
y = (-1/4)x
In circle Q with M PQR equals 42 and PQ equals seven units, find the length of arc PR. Round to the nearest hundred
Answer: [tex]5.13\ \text{units}[/tex]
Step-by-step explanation:
Given
In a circle, [tex]\angle PQR=42^{\circ}[/tex]
[tex]PQ=7\ \text{units}[/tex]
Arc length is given by
[tex]\Rightarrow l=\dfrac{\theta}{360^{\circ}}\cdot 2\pi r[/tex]
Insert the values
[tex]\Rightarrow l=\dfrac{42^{\circ}}{360^{\circ}}\cdot 2\times \dfrac{22}{7} \times 7\\\\\Rightarrow l=5.13\ \text{units}[/tex]
The length of the arc PR is [tex]5.13\ \text{units}[/tex]
A pole 11 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Jayden measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot. 11 ft 20 ft-8 ft
Answer:
7 feet after applying the pythagorean theorem
Step-by-step explanation:
A student says that the value of the expression 5 + 25 /5 is 6.What error did the student make?
Answer:
The student added 5+25 before, thus not following the order of PEMDAS. The student should've divided 5/ 25 before adding.
Step-by-step explanation:
Please help will mark the brainliest
Answer:
452.4 mi^2
Step-by-step explanation:
area of circle=πr^2
=22/7*(12)^2
=3.142*144
=452.448
=452.4 mi^2
Answer:
C) 452.4 mi²
Step-by-step explanation:
a = πr²
a = π * 12²
a = π * 144
a = 452.3893421169
a = 452.4
What tool would use to measure around a cup
Answer:
one tool you can use would be tape measure
6. Fill in the blanks:
integer
(i) O is greater than every
integer
(ii) Every negative integer is less than every
(iii) For any two positive integers a and b, if a <b, then -a. -b
(iv) Modulus of a negative integer is always
(u) The largest negative integer is
(vi) The smallest positive integer is
Answer:
O is greater than every
integer
i need to know how to do translations
The area of sector A08 is 48x and m<AOB = 270º. Find the radius of circle O.
6 Acirde shown below.bas center C What is the area of the shaded region?
Answer:
Step-by-step explanation:
The first one gives us everything we need except the radius, which is easy enough to solve for if you're careful with your algebra. The area of a sector of a circle is given as:
[tex]A_s=\frac{\theta}{360}*\pi r^2[/tex] where θ is the measure of the central angle of the circle. For us, that fills in as follows:
[tex]48\pi=\frac{270}{360}*\pi r^2[/tex] and manipulate it as follows:
[tex]r^2=\frac{(360)(48\pi)}{270\pi}[/tex] the π's cancel out, leaving us with simple multiplication and division to get
r = 8. Now for the next one, which is a bit more involved.
In order to find the area of the shaded part, we need to find the area of the right triangle there and subtract it from the area of the sector of the circle. First the area of the sector, which is given as:
[tex]A_s=\frac{\theta}{360}*\pi r^2[/tex] where θ again is the measure of the central angle of the circle, 90°:
[tex]A_s=\frac{90}{360}(3.1415)(10)^2[/tex] which simplifies a bit to
[tex]A_s=\frac{1}{4}(3.1415)(100)[/tex], giving us an area of
[tex]A_s=78.5375m^2[/tex]. Now onto the area of the triangle.
Since this triangle is inscribed in the circle and the circle's radius is 10, tha also gives us both the height and the base measures of the triangle. The area then is:
[tex]A_t=\frac{1}{2}(10)(10)[/tex] which is
[tex]A_t=50m^2[/tex]
Subtract that from the area of the sector to get that the shaded area is 28.5 square meters, choice A.
find the length of each side of an equilateral triangle whose perimeter is 36m
Answer:
12m
Step-by-step explanation:
36÷3=12
Hope this helps! :)
Please help me with the right answer kitties it’s pretty easy but I can’t do it because of my lazy butt
Answer:
It is D and if you don't the y-values increase by 9.
A right triangle has side lengths 5, 12 and 13 as shown below use these lengths to find cosB tan B and sin B
PLZ SOMEONE HELP BRAINLIEST
Answer:
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
cosB = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{5}{13}[/tex]
tanB = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{12}{5}[/tex]
sinB = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{12}{13}[/tex]
ANswer it please just do it
78%
14/18 is 77.78%
Rounded to the nearest percent is 78%
Hope this helps!
Answer:
14 out of 18 which is 14/18 = .7777 = 77.7%
Step-by-step explanation:
Answer all please I need this :o
Answer:
18. d
19. c (not sure)
20. c
Answer:
18) d. Synopsis
19) c. Duration
20) c. Pacify
Step-by-step explanation:
18) When you don’t wanna give the full version of a story sum it up; give a summary or synopsis!
19) Uh tbh it just makes the most sense in context of the sentence, read it all together and you’ll see ;)
20) In the sentence it says “calm down” only way to calm someone down is to pacify them or give them what they want… in this context she needs to pacify them. Plus it just makes sense.
Hope this helps, good luck have a good day!
. Parallelogram ABCD,
dylan invested $600 in a savings account at a 1.6% annual interest rate. He made no deposits or withdrawls on the account for 2 years. the intrest was compounded annually find to the nearest cent the balance in the account after 2 years
Answer:
below
Step-by-step explanation:
that is the procedure above
The balance in the account after 2 years is $619.35.
What is the compund interset?The compound interest for an amount depends on both Principal and interest gained over periods.
Dlan invested $600 in a savings account at a 1.6% annual interest rate.
He made no deposits or withdrawls on the account for 2 years.
The balance in the account after 2 years is given by;
[tex]\rm Amount =Principal(1+rate)^{time}[/tex]
Substitute all the values in the formula
[tex]\rm Amount =Principal(1+rate)^{time}\\\\\rm Amount =600(1+0.016)^2\\\\ Amount =600(1.016)^2\\\\ Amount = 600 \times 1.03\\\\Amount =619.35[/tex]
Hence, the balance in the account after 2 years is $619.35.
Learn more about compound interest here;
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Question 15 of 25
If the factors of a polynomial are x + 8 and x+4, what values of x make that
polynomial O?
A. -8 and -4
B. 8 and -4
C. -8 and 4
D. 8 and 4
Answer:
Step-by-step explanation:
Polynomials are factored after they are set equal to 0. This i because the factors of the polynomial are also known as the x-intercepts, and x-intercepts exist where y = 0. Therefore, if the factors of the polynomial are
(x + 8)(x + 4) = 0, then by the Zero Product Property,
x + 8 = 0 so x = -8 or
x + 4 = 0 so x = -4. Choice A.
Explain how rays AB and AC form both a line and an angle.
Answer:
Angles are rays with a shared endpoint.
Lines extend forever in either direction.
Rays AB and AC extend forever in either direction.
Step-by-step explanation:
Answer:
An angle is defined as two rays with a common endpoint, so CAB (or BAC) is an angle. A line is described as an infinite set of points that extend forever in either direction, which these rays also do.
Step-by-step explanation:
Find the missing side
Answer:
x = 20.31 inches
Step-by-step explanation:
[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]
[tex]sin(62^{\circ})=\frac{x}{23}[/tex]
[tex]23sin(62^{\circ})=x[/tex]
[tex]x=20.3079464[/tex]
[tex]x\approx20.31[/tex]
Therefore, the missing side is 20.31 inches long.
Find the value of x and the measure of the exterior angle. (9x+16) (5x-14)
Answer:
[tex]x = 15 \: \: .....(5(15)- 14) = 61[/tex]
[tex](9x + 16 )= (5x - 14) + 90 \\ 9x - 5x = 90 - 14 - 16 \\ 4x = 60 \\ x = \frac{60}{4} \\ x = 15[/tex]
lus
A
B
С
D
If AC = 18 and CD = 5, AD = [?]
Enter
Answer:
hey,
18+5=23
so AD=23
this is the correct answer :)
please mark as brainliest