The additional piece of information is ∠S ≅ ∠J, which satisfy the given condition.
What is ASA Congruence?If any two angles and side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by ASA rule.
You need at least one pair of congruent corresponding sides to prove two triangles are congruent. If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent.
Here, We can get
ΔTBJ ≅ Δ DPS
Existing conditions, JB = PS
and ∠B = ∠P
Prove by ASA, ∠S ≅ ∠J
Thus, additional piece of information is ∠S ≅ ∠J, which satisfy the given condition.
Learn more about ASA Congruence from:
https://brainly.com/question/10677854
#SPJ2
Find the measure of the exterior angle.
The measure of the exterior angle of the triangle is
Answer:
X = 132
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle therefore
x = 46 + 86
x = 132
Answer:
The measures of exterior angle is 132° .
Step-by-step explanation:
We know that the sum of interior angle is equal to the sum of exterior angle of triangle.
interior angle = exterior angle86° + 46 ° = x
combine like terms
132° = x
What is the radius of a sphere with a volume of 996 cm 3 , 996 cm 3 , to the nearest tenth of a centimeter?
Answer: [tex]6.2\ cm[/tex]
Step-by-step explanation:
Given
The volume of the sphere is [tex]V=996\ cm^3[/tex]
Volume of sphere is given by [tex]V=\dfrac{4}{3}\pi r^3[/tex]
Insert the values
[tex]\Rightarrow 996=\dfrac{4}{3}\times \dfrac{22}{7}r^3\\\\\Rightarrow r^3=\dfrac{996\times 21}{88}\\\\\Rightarrow r=6.2\ cm[/tex]
Thus, the radius of the sphere is [tex]6.2\ cm[/tex]
Find the polynomial function with the given zeros.
X = 2, X = 5, X = -1 and x = -3
(x), (x-2), (x-5), (x-5), (x-7) and (x-9) are NOT zeros, they are FACTORS. The zeros are 0, 2, 5, 5, 7, and 9. Since 5 is listed twice it is said to be a zero of multiplicity 2. To find a polynomial with those zero, we start by setting x equal to each zero: x=0, x=2, x=5, x=5, x=7, and x=9. Then we subtract the zero on the right from both sides of each of those 6 equations: x-0=0, x-2=0, x-5=0, x-7=0, x-9=0 Then we use the principle that equals multiplied by equals gives equals. So we multiply all the left sides together and all the right sides together. (Multiplying all the right sides together just gives 0.) (x-0)(x-2)(x-5)(x-5)(x-7)(x-9) = 0 And since x-0 is just x, we have (x)(x-2)(x-5)(x-5)(x-7)(x-9) = 0 Those are the factors you gave. But again, the zeros are 0,2,5,5,7,9
Please help I will give brainliest to whoever answer correct first
aasaaaaaaaaaaaaaaaaaaaa
Answer:
mjmdsfkjdsfjdfdjkfhdkfdkfdjhkjhfk
Step-by-step explanation:
dfjdbfjfshdgdsjhdh
Answer:
aasaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
hee haw i beat u i put more a's in my answer
What is the equation of a circle with center (2, -5) and
radius 4?
Answer:
(x-2)^2 +(y+5)^2=4^2
Step-by-step explanation:
x minus 2 squared + y plus 5 squared = radius squared
Answer:
(x-2) ^2 + ( y+5)^2 = 16
Step-by-step explanation:
The equation for a circle is given by
(x-h) ^2 + ( y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x-2) ^2 + ( y- -5)^2 = 4^2
(x-2) ^2 + ( y+5)^2 = 16
What is the remainder when x^3-8x^2+20x-16 is divided by x+2?
Answer:
(x - 4)(x - 2)²
Step-by-step explanation:
x³ - 8x² + 20x - 16
x³ - 4x² + 4x - 4x² + 16x - 16
x(x² - 4x + 4) - 4(x² - 4x + 4)
(x - 4)(x² - 4x + 4)
(x - 4)(x² - 2x - 2x + 4)
(x - 4)(x(x - 2) - 2(x - 2))
(x - 4)(x - 2)(x - 2)
(x - 4)(x - 2)²
(x - 4)(x - 2)²
Answer:
-96
Step-by-step explanation:
x+2=0 take 2 to the other side which will be -2
the -2 you sub it into the quotient and calculate
What is the value of x?
Hope this help!!!
Have a nice day!!!
I thought of a number, multiplied it by 2 ½ , divided the result by 1 1/5 , subtracted 7/18 from it, and got 1 ⅚ . What was my number?
Answer:
1.06 or 1 1/15
Step-by-step explanation:
So, basically what we need to do is reverse the steps.
So now it goes like this:
We start with 1 5/6(1.83)
Then we add 7/18(0.389)
Then we multiply by 1 1/5(1.2)
Then finally, we divide by 2 1/2(2.5)
This will get us our answer. So:
1.83+0.389 = 2.219
2.219*1.2 = 2.6628
2.6628/2.5 = 1.06
This is 1.06 in decimal form, or 1 1/15 in fraction form
Hope this helps!
This can also be double checked, if you plug it into the orginal equation:
1.06, then you multiply by 2.5: 1.06*2.5= 2.6628
2.6628, then you divide by 1.2: 2.6628/1.2= 2.219
Then finally, 2.219 and subtract 7/18: 2.219-0.389= 1.83
So we have double checked, and our answer is still 1.06.
Help pls pls pls pls
Answer:
C
Step-by-step explanation:
Answer:
option c is correct
Step-by-step explanation:
y = 2x +5
5 = 2*0 +5
5 = 0 +5
5=5
y = 2x +5
9 = 2*2 + 5
=9 = 4 +5
9=9
y = 2x +5
13 = 2*4 +5
13 = 8 + 5
13 = 13
therefore option c is correct because it satisfies all the elements of x and y of the given function when we substitute the values.
Plot the points A(3, 10), B(-3,5) and C(-1,-6) on the graph paper. Join them in pairs and identify the figure so formed.
9514 1404 393
Answer:
obtuse scalene triangle
Step-by-step explanation:
Connecting 3 points will make a triangle. The sides are different lengths, and the largest angle is more than 90°. The figure is an obtuse scalene triangle.
Find the area if the composite shape
Answer:
111 m²
Step-by-step explanation:
A rectangle is a quadrilateral (has four sides and four angle) with two pairs of parallel sides. Opposite sides of a rectangle are equal to each other. Also all the angles of a rectangle are 90° each.
The area of a rectangle = length * width
For rectangle 1, length = 12 m, width = 3 m
Therefore area of rectangle 1 = length * width = 12 m * 3 m = 36 m²
For rectangle 2, length =(12 m - 3 m - 3 m) = 6 m, width =(15 m - 10 m) =5 m
Therefore area of rectangle 2 = length * width = 6 m * 5 m = 30 m²
For rectangle 3, length = 15 m, width = 3 m
Therefore area of rectangle 3 = length * width = 15 m * 3 m = 45 m²
Area of composite shape = Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3
Area of composite shape = 36 m² + 30 m² + 45 m² = 111 m²
A Statistics class has a test average of 87 with a standard deviation of 2.1. Find the z-score that corresponds to Kate's test score of 93. (Round to the nearest hundredths)
Answer:
2.86
Step-by-step explanation:
So I'm pretty sure we don't want the probability, just the zscore
to find the zsore subtract the mean and divide by the standard deviation
(93-87)/2.1= 2.86
8 friends go out for dinner and the bill for food and drink comes to £120. The friends decide to add a 20% tip on top of this total. If they divide the expense equally between them, how much does each friend pay?
Answer:
$18
Step-by-step explanation:
Given the following data;
Number of friends = 8
Total expense = $120
Tip = 20%
To find how much each friend would pay?
First of all, we would determine the amount of tip.
Tip = 20/100 * 120
Tip = 2400/100
Tip = $24
New balance = total expense + tip
New balance = 120 + 24
New balance = $144
Next, we find how much each friend would pay using the mathematical expression;
Each paid = 144/8
Each paid = $18
f (x) = (3x - 2). find f^-1f (10)
f-¹f(10)=10
Answer:
Solution given:
f(x)=3x-2
let
y=3x-2
interchanging role of x and y
x=3y-2
y=[tex]\frac{x+2}{3}[/tex]
so
f-¹(x)=[tex]\frac{x+2}{3}[/tex]
now
f(10)=3*10-2=28
now
f-¹f(10)=f-¹(28)=[tex]\frac{28+2}{3}[/tex]=10
I just need help man
Answer:
3rd box
Step-by-step explanation:
Which statement illustrates the associative property of addition?
Select one:
a. (1+√3)² + √7= 1 + (√3+√7) ²
b.(-2+72) + 4i - 2 + (7i+ 42)
c. v 18 + 5/3 (√6 +5)
d. (51.21) + 111 – 111 + (51-21)
En la tabla se muestra la cantidad de
personas que asisten a la cancha de un
colegio, así como el rango de edad de
las mismas
La moda corresponde a
intervalo frecuencia
0-3 12
4-10 8
11-17 14
18-24 5
25-31 10
32-38 4
39-45 9
46-52 3
a) 18,6
b) 27,15
c) 45,23
d)2171
what's the length of each side using the Pythagorean theorem, round to the nearest hundredth if necessary. Will give brainliest
Answer:
X.2 y C 5
Step-by-step explanation:
the dots please
Which of the following expressions is equivalent to the one shown below? (4^3)5 A. 49 B. 42 C. 48 O D. 415
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{(4^3)(5)}[/tex]
[tex]\mathsf{4^3}[/tex]
[tex]\mathsf{= 4 \times 4\times 4}[/tex]
[tex]\mathsf{= 16 \times 4}[/tex]
[tex]\mathsf{= \bf 64}[/tex]
[tex]\mathsf{64(5)}[/tex]
[tex]\mathsf{= \bf 320}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 320}\huge\textsf{ (NONE of the ABOVE)}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
the person below isn't giving the right answer choice did you ever get the answer for this question please comment me the answer cuz they clearly don't see the answer choice
Surface area. Math hw I need help on.
Answer:
Area of A is 30
Step-by-step explanation:
total area = 280
amount of area given= 60+60+50+50
=220
area left = 280-220
=60
Area of 1 A= 60/2
=30
x + 2/3 = 8/9 x=__ ..........................................
Answer:
x = -6
Step-by-step explanation:
[tex]x+\frac{2}{3}=\frac{8}{9}x\\\\x = \frac{8}{9}x - \frac{2}{3}\\\\x - \frac{8}{9}x= -\frac{2}{3}\\\\\frac{9}{9}x-\frac{8}{9}x=\frac{2}{3}\\\\\frac{1}{9}x=-\frac{2}{3}\\\\x=-\frac{2}{3}*\frac{9}{1}\\\\x=(-2)*3\\\\x = -6[/tex]
Answer:
x = [tex]\frac{2}{9}[/tex]
Step-by-step explanation:
Given
x + [tex]\frac{2}{3}[/tex] = [tex]\frac{8}{9}[/tex] ( multiply through by 9 to clear the fractions )
9x + 6 = 8 ( subtract 6 from both sides )
9x = 2 ( divide both sides by 9 )
x = [tex]\frac{2}{9}[/tex]
1. Explain, without graphing, how you can determine whether the table below represents a
linear equation
X
y
-6-3
-2-1
0
1
1
2
4
6
Answer:
below
Step-by-step explanation:
you can find the distance between the y values for each x value and if it comes out to be an even increase/decrease you know it is linear
Answer:
It does not form a linear equation.
Step-by-step explanation:
For this question, you should check that they all have the same gradient.
To work out the gradient, use [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex].
Using the top 2 rows, this gives [tex]\frac{-1--3}{-2--6}[/tex], or [tex]\frac{2}{4}[/tex], simplified to [tex]\frac{1}{2}[/tex]. This means for every increase in x by 1, y increases by [tex]\frac{1}{2}[/tex].
Between the first 2 rows, x increases by 4 and y by 2 (half of 4), so it is true.
Between the second and third rows, x increases by 2 and y by 2 (which isn't half of 2). This is false, meaning this does not form a linear equation.
**This question involves solving linear equations using gradients, which you may want to revise. I'm always happy to help!
PLEASE HELP QUICK
graph and show work and i will give 30 points
If f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g)(2)?
12
14
36
38
Answer:
14
Step-by-step explanation:
(f - g)(x)
= f(x) - g(x)
= 3x² + 1 - (1 - x)
= 3x² + 1 - 1 + x
= 3x² + x
Then
(f- g)(- 2)
= 3(- 2)² + 2
= 3(4) + 2
= 12 + 2
= 14
The cost of a computer processor is directly proportional to its speed.
A 4GHz processor costs £400.
Find the cost of a 6GHz processor
Answer:
Step-by-step explanation:
If cost is directly proportional to speed, then the equation for this is
£ = ks, where k is the constant of proportionality. We need to solve for this first.
400 = k4 so
100 = k. Now we will use that k value in the next equation to find the cost of a 6GHz processor:
£ = (100)(6) so
£ = 600
What is the value of x?
45°
m
(2x-5)
n
Answer:
x = 70
Step-by-step explanation:
The two angles are same side interior angles and same side interior angles add to 180
45+ (2x-5) = 180
Combine like terms
2x +40 = 180
Subtract 40 from each side
2x+40-40 =180-40
2x =140
Divide by 2
2x/2 = 140/2
x = 70
Answer:
x=70
Step-by-step explanation:
hope it helped! :)
have a nice day
i need help pls help
Answer:
33/20
Step-by-step explanation:
I dont know if that was a minus or a plus but it looked like a minus sorry if its wrong
Answer:
0.475
Step-by-step explanation:
It makes it easier for people to turn fraction to decimal.
So, 1/4 in decimal is 0.25.
1.9•0.25=0.475
Sorry if I'm wrong I'm in 8 grade I learned it in this year
7th grade math help me pleaseeee
Answer:
The answer is D
Step-by-step explanation:
Answer:
22 ft
Step-by-step explanation:
We need to find the side of the square garden.
Area of square garden = 484 sq.feet
side² = 484
[tex]side = \sqrt{484}\\\\side = \sqrt{2*2*11*11} \\\\side = 2 * 11 = 22 feet[/tex]
Lines Line A E and Line G H are parallel in the image below. The image will be used to prove that the sum of the measures of the interior angles of Triangle C G H is 180°.
Lines A E and G H are parallel. Angles A and H are congruent.
Which statement would be included in a proof of why Measure of angle C + measure of angle G + measure of angle H = 180 degrees.?
Angles F and H are congruent.
Angles A and G are congruent.
Angles A and H are congruent.
Angles E and C are congruent.
Answer:
Angles F and H are congruent.
Step-by-step explanation:
Answer:
Angles F and H are congruent.
Step-by-step explanation: