What else would need to be congruent to show that ABC= ADEF by SAS?
A. ZCE ZF
B. BC = EF
O C. ZA= ZD
D. AC = DF
Answers
Answer:
The correct option is;
c. ∠A ≅ ∠D
Step-by-step explanation:
The given information are;
[tex]\overline{AB}\cong \overline{DE}[/tex]
[tex]\overline{AC}\cong \overline{DF}[/tex]
Therefore, for Side Angle Side, SAS, condition of congruency, we have;
The included angle should be congruent that is ∠C ≅ ∠D
Two triangles, triangle ABC and triangle XYZ for example, having two adjacent sides, AB and AC in triangle ABC and XY and XZ in triangle XYZ of corresponding length such that AB ≅ XY and AC ≅ XZ and also having congruent included angles between the two sides (∠A ≅ ∠X), the two triangles are said to be congruent.
For triangles ABC and DEF to be considered congruent triangles, the additional information that is needed to be congruent is: C. ∠A ≅ ∠D
What is the SAS Congruence Theorem?SAS means, side-angle-side congruence theorem, which states that two triangles are congruent if they have two pairs of congruent sides and a pair of congruent angles that are included angles (in between the two congruent sides).
Therefore, for triangles ABC and DEF to be considered congruent triangles, the additional information that is needed to be congruent is: C. ∠A ≅ ∠D
Learn more about SAS congruence theorem on:
https://brainly.com/question/14252518
Related Questions
i need help with this
Answers
Answer:
Step-by-step explanation:
diameter=2×5=10 cm
32/10=3.2≈3
128/10=12.8≈12
total number of squares=12×3=36
Find the interquartile range for a data set having the five-number summary: 5.6, 11.1, 19.2, 24.5, 33.3
Answers
Answer:
interquartile range=20.55
Step-by-step explanation:
5.6, 11.1, 19.2, 24.5, 33.3
median is 19.2
Q1=(5.6+11.1)/2=8.35
Q3=(24.5+33.3)/2=28.9
interquartile range= Q3-Q1=28.9-8.35=20.55
The side length of each square is 6 units. Find the areas of the inscribed shapes.
Answers
Answer:
a) 18
b) 20
c) 12
d) 12
Step-by-step explanation:
a) The triangle is half of the square, so you can find the area of the square(36) and divide by 2: so 18
b) There are 4 same sized blank triangles with area of 4 ( (2*4)/2 ) so 4 * 4 is 16. 16 is the blank area so the area of the shaded is 36 - 16: 20
c) There are 2 blank triangles which areas are 6, and 18, so you subtract those numbers from 36: 36 - (6+18) = 12
d) Another 2 same blank triangles with areas of 12 ( (6 *4)/2 )so you subtract them from 36 too: 36 - (12*2) = 36 - 24 = 12
Which statement about this figure is true? Pls give an explanation
Answers
Answer:
The correct option is;
It has no reflectional symmetry
Step-by-step explanation:
Reflectional symmetry is one such that a line can be drawn across a shape or figure and the shape or figure on either side of the line is the equivalent of the reflection image obtained from a mirror
Lines of reflectional symmetry can be found in squares, circles, and triangles
The characteristics of the object that has line of reflection symmetry remains the same across the line of symmetry
Two dimensional objects have lines of symmetry while three dimensional objects have planes of symmetry.
what is the value of [3.6]
Answers
Answer:
3
Step-by-step explanation:
You remove the brackets and round down to the nearest whole number which is three..
Edge 2020
~theLocoCoco
Answer:
a
Step-by-step explanation:
edge 2021
(TIMED PLEASE HELP!!) The area of the two triangles is given by the functions: Area of Triangle A: x2 + x Area of Triangle B: x2 – 3x Which function represents the sum of the areas of the two triangles? (a) 4x (b)–4x (c) x2 – 4x (d) 2x2 – 2x
Answers
Answer:
D
Step-by-step explanation:
Here, we are given the values of the areas of the two triangles and we want to find the sum of these areas
The sum can be found by adding the area of triangle A to the area of triangle B
That would be;
x^2 + x + x^2-3x = 2x^2 -2x
Answer:
d
Step-by-step explanation:
Select the correct product of the exponential expression.
6^4
Answers
Answer:
1,296
Step-by-step explanation:
Answer:
1,296
Step-by-step explanation:
Well 6 to the 4th power is also,
6*6*6*6 which is 1,296.
help with the question below would be much appreciated :)
Answers
Answer:
B
Step-by-step explanation:
In an isosceles triangle, the altitude is the median so the altitude splits the base into two segments with lengths of 5. We notice that x is part of a right triangle with legs of 5 and 12, therefore, using the 5 - 12 - 13 Pythagorean Triple, x = 13.
Answer:
(B) 13
Step-by-step explanation:
This isosceles triangle is broken up into two parts, both are right triangles.
To find the length of a missing side in a right triangle, we use the Pythagorean Theorem - [tex]a^2+b^2=c^2[/tex]. where one of the legs is a, the other leg is b, and the hypotenuse is c.
We know that one of the legs is 12, and since the base of the triangle is 10, the leg of one of the right triangles is 5.
Let's solve.
[tex]5^2+12^2=c^2\\25+144=c^2\\169=c^2\\\\\sqrt{169} =c\\13=c[/tex]
So, c is 13, therefore the hypotenuse is 13, therefore x is 13.
Hope this helped!
(ii) Atrader gets a profit of 20% by selling an item for £ 150. Find the buying in price.
(iii) A bank charges 12% per annum on loans. If a person borrowed a loan of
£ 20000 find the total amount that he has to repay after one year.
(a) Six workers can build a wall in 10 days. At the same rate how many
workers are needed to complet in 4 days.
(c) How many extra workers to be employed ?
Answers
Answer:
ii) £120
iii) £2,400
a) 10 workers
c) 4 workers more to be employed.
Step-by-step explanation:
ii) To find the buying price we deduct 20% (percent) from the selling price of £150.
= 20/100 x 150
= £30 (Next we substract this value from the selling price of £150) = €150 - £30 = £120
iii) A 12% interest per annum Implies a 12 percent of the borrowed amount of 20,000, which is calculated as
12% or 12/100 x 20,000 = £2,400
a) Put simply, we create an equation for the problem.
4 men * 10 days = 40 man days.
X men * 4 days = 40 man days.
Let's substitute the equation:
(X/ 4) * (4/ 10) = 40 / 40
(X/4) * 0.4= 1 (collect like terms)
0.4 * x = 4
0.4x/0.4= 4/0.4
x = 10 workers.
(c) 4 extra workers to would need to be employed since we have six already available (10-6=4).
PLEASEEEEANSWERWhich of the following linear equations represents the data chart below? y = 3x + 5 y = x − 5 y = 3x + 11 None of these choices are correcT
Answers
Answer:
y=3x+5
Step-by-step explanation:
Factor .
X2-x-56=0
PLEASE HELP!!!
Answers
Answer:
use factoring x (see attachment)
-8 x 7 = -56
-8 + 7 = -1
(x - 8)(x + 7) = 0
x = 8, -7
hope this helps :)
Select the correct answer. Which equation represents a line that is perpendicular to line FG?
Answers
Answer:
Hey there!
Equation of Line FG: [tex]y=\frac{1}{2} x+3.5[/tex], because the slope (rise over run) is 2 and we see that the y intercept is 3.5.
Equation to a Line Perpendicular to FG: [tex]y=-2x-3\\[/tex], because the equations of perpendicular lines have the same (but could also be different y-intercepts), and opposite reciprocal slopes.
Let me know if this helps :)
Answer:
C)
Step-by-step explanation:
f(-5,1) & G(9,8)
Slope of FG = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
= [tex]\frac{8-1}{9-[-5]}=\frac{7}{9+5}\\\\[/tex]
[tex]\frac{7}{14}\\\\=\frac{1}{2}[/tex]
Slope of line perpendicular to FG = -1/m = -1/(1/2) = -2
Equation of line in slope intercept form : y = mx + b
m = - 2
So, option c will be the equation of the line perpendicular to FG
2.) Calculate x, to the nearest tenth of a meter
Answers
Answer:
63.4°
Step-by-step explanation:
The following data were obtained from the question:
Opposite = 6 cm
Adjacent = 3 cm
Angle x =?
The value of angle x can be obtained as follow:
Tan x = Opposite/Adjacent
Tan x = 6/3
Tan x = 2
Take the inverse of Tan.
x = Tan¯¹ 2
x = 63.4°
Therefore, the value of angle x is 63.4°
Answer:
63.4°
Step-by-step explanation:
Which was one of the goals for some advocates of the Progressive movement?
A: conservation
B: laissez-faire economy
C: welfare
D: establishment of a national bank
Answers
Answer:
d
Step-by-step explanation:
The sequence of transformations that can be performed on quadrilateral ABCD to show that it is congruent to quadrilateral GHIj is a _______
followed by a _______
1.
A.Reflection across the y axis
B.90 degree counter clockwise rotation about point A
C.90 degree clockwise rotation about point A
D. 90 degree counter clockwise rotation about point B
2.
A.Clockwise rotation about point B and a translation 20 units down
B.reflection across the y axis and a translation 20 units down
C. Reflection across the x axis and a translation 15 units down
D. Reflection across the y axis and a translation 25 units down
Plz respond quick
Answers
Answer:
1).
A. Reflection across the y axis.
2).
A. Clockwise rotation about point B and a translation 20 units down.
The sequence of transformation that can be performed on quadrilateral
ABCD to show that is congruent to GHIJ is a B. 90 degree counter
clockwise rotation about point A followed by a B. Reflection across the y-
axis and a translation 20 units down
Reasons:
Rotation 90° counterclockwise about the point AThe coordinates of the point (x, y) following a rotation of 90°
counterclockwise is the point (-y, x)
Taking point A as the origin
The coordinates of point A = (15, 10)
Coordinates of the points B, relative to the point A = (0, 10)
Coordinates of the points C, relative to the point A = (5, 5)
Coordinates of the points D, relative to the point A = (5, -5)
The location of the image of point B, following a rotation about the point A, is therefore;
B'(-10 + 15, 0 + 10) = B'(5, 10), C'(-5 + 15, 5 + 10) = C'(10, 15), D'(5 + 15, 5 + 10) = D'(20, 15)
Reflection across the y-axisThe coordinates of the image of the point (x, y), following a reflection
across the y-axis is the point (-x, y). The coordinates of the parallelogram
A'B'C'D' following a reflection across the y-axis are the point B''(-5, 10),
C''(-10, 15), D''(-20, 15) A''(-15, 10). The coordinates of the quadrilateral GHIJ
are; G(-15, -10), H(-5, -10), I(-10 - 5), J(-20, -5)
Translation 20 units downThe x-coordinates of the quadrilaterals A''B''C''D'', and GHIJ are the same,
therefore, we translate A''B''C''D'', 20 units down to get;
B'''(-5, -10), C'''(-10, -5), D'''(-20, -5) A'''(-15, -10)
Coordinates of A'''(-15, -10) = G(-15, -10)
Coordinates of B'''(-5, -10) = H(-5, -10)
Coordinates of C'''(-10, -5) = I(-10 - 5)
Coordinates of D'''(-20, -5) = J(-20, -5)
Therefore;
The sequence of transformation that can be performed on quadrilateral
ABCD to show that is congruent to GHIJ is a;
B. 90 degree counter clockwise rotation about point AFollowed by a;
B. Reflection across the y-axis and a translation 20 units downLearn more here:
https://brainly.com/question/1593448
Which property justifies this statement?
If x=3, then x−3=0.
Answers
Answer:
Step-by-step explanation:
identitiy property
solve : 3/2 X -7/2 = 5x +14
Answers
Answer:
The answer to your question is -5
Step-by-step explanation:
Data
[tex]\frac{3}{2}x - \frac{7}{2} = 5x + 14[/tex]
Process
1.- Subtract 5x in both sides
[tex]\frac{3}{2} x - \frac{7}{2} - 5x = 5x -5x + 14[/tex]
2.- Simplify
[tex]- \frac{7}{2} x - \frac{7}{2} = 14[/tex]
3.- Add 7/2 in both sides
[tex]-\frac{7}{2} x = 14 + \frac{7}{2}[/tex]
4.- Simplify
- [tex]\frac{7}{2} x = \frac{35}{2}[/tex]
5.- Solve for x
x = [tex]\frac{35}{2} / - \frac{7}{2}[/tex]
6.- Simplify
x = -5
Answer: x = -3.71
Step-by-step explanation:
3/2*-7/2=5x+14
-4.55=5x+14
Subtract 14
-18.55=5x
Divide by 5
x = -3.71
Hope it helps <3
A small airplane can fly 12 miles in 3 minutes. At this rate, how far can the airplane fly in 1 hour?
Answers
Answer:
The airplane can fly up to 240 miles in a hour
Step-by-step explanation:
Cross multiply
(12)(60)=3x
720=3x
Divide 3 on both sides
x=240
There are 60 minutes in 1 hour.
60 ÷ 3 = 20
12 × 20 = 240
In one hour, the airplane could fly at 240 miles.
Veronica wants to check her work after evaluating Negative 108 divided by (negative 6). What steps can she follow to verify her answer?
Answers
Answer:
The answer to your question is 18
Step-by-step explanation:
Process
1.- Write the fraction given
[tex]\frac{-108}{-6}[/tex]
2.- Divide the numbers as usual
18
6 108
48
0
3.- Divide the signs
negative / negative = positive
4.- Write the answer
[tex]\frac{-108}{-6}= 18[/tex]
5.- Check the result
Multiply 18 by -6 and the result must be -108
-6 x 18 = 108
We know a negative times a negative is equal to a positive.
- 108 / - 6 is the same as 108 / 6 because the larger number is on top.
Therefore she can drop the negative signs and solve 108/6 to verify her answer.
S = { x ; x is a multiple of 8. 0 < x <30 } Describe this set in another method
Answers
Step-by-step explanation:
Hi,
Let's describe it in listing method;
S= {8,16,24}.
Hope you got it...
please helllppppp........
Answers
8% lower means the gauge is showing 92% of the original pressure
( 100% - 8% = 92%)
Divide the pressure the gauge is showing by 92%
33.58 / 0.92 = 36.5
The actual pressure is 36.5
There are 86{,}40086,40086, comma, 400 frames of animation in 111 hour of anime. How many frames are there per second? There are 3600 seconds in one hour
Answers
Answer
24 frames per second
Step-by-step explanation:
Total frames=86,400
Total time=1 hour
Find frame per second
1 hour= 60 minutes*60 seconds
1 hour=3600 seconds
Frame per second=Total frames/Total number of seconds
=86,400/3600
=24 frames per second
Write the equation of a function whose parent function, f(x) = x + 8, is shifted 2 units to the right.
Answers
This has to do with function transformations. First we can set it up differently, where we are solving for y instead of f(x)
y=f(x)+8
The points of the graph are (x, f(x)+8)
To move the graph to the right, we need to subtract by 2 within the parentheses
y=f(x-2)+8
Now the point would be like (x, f(x-2)+8)
Answer:
[tex]\huge\boxed{f(x - 2) = x + 6}[/tex]
Step-by-step explanation:
f(x) + n - shift the graph n units up
f(x) - n - shift the graph n units down
f(x + n) - shift the graph n units to the left
f(x - n) - shift the graph n units to the right
===========================================
f(x) = x + 8
shift the graph 2 units to the right
f(x - 2) = (x - 2) + 8 = x - 2 + 8 = x + 6
a culinary student decorates a 8-in. -diameter round cake. What is the approximate are of the top of the cake?
Answers
Answer:
The top of the cake is 25.12 in²
Step-by-step explanation:
Hello!
So you are dealing with a circumference question! And because the diameter is 2x the radius, we know the radius is actually 4.
Lets write out the circumference formula and use that to help us.
c = 2[tex]\\\pi[/tex] x r
pi is 3.14....
But lets use 3.14
c = 2(3.14) x 4
Plus this into a calculator and we get 25.12 as the answer.
Answer:
≈50.265 [tex]in^{2}[/tex]
Step-by-step explanation:
You first have to find the radius since the formula for the area of a circle is A=[tex]\pi r^{2}[/tex].
Since the radius is half the diameter, just divide 8 by 2 which will give you 4.
r=4
Now plug in the radius into the formula and simplify.
A=[tex]\pi 4^{2}[/tex]
[tex]A=\pi 16[/tex]
≈50.265 [tex]in^{2}[/tex]
The base BC of an equilateral triangle ABC lies on y-axis. The coordinates of points C are (0, -3). The origin is the mid –point of the base. Find the coordinates of the points A and B. Also find the coordinates of another point D such that BACD is a rhombus.
Answers
Answer
Point b is (0,0) Point a is (3,-2) Im not doing the second part
Step-by-step explanation:
The perimeter of a rectangle is 60 cm. The ratio of length to width is 3:2. Find the length and width of the rectangle.
Answers
Explanation:
Find the semi rectangle:
60/2 = 30
Now we can find the length and width using the semi rectangle:
L = 30 x 3/5 = 18
W = 30 x 2/5 = 12
Answer:
See below.
Step-by-step explanation:
The perimeter = 2*length + 2 * width.
As the ratio is 3:2 the fraction 3 / (3 +2) is used to find the length:
The measure of the 2 lengths = 3/ (3+2) * 60
= 3/5 * 60
= 36 cm
So the measure of the length = 18 cm
So the measure of the width = (60 - 36) / 2
= 24/2
= 12 cm.
Please answer it now in two minutes
Answers
Answer:
VX = 8.8 in
Step-by-step explanation:
By applying Sine rule in the right triangle WXV,
Sin(∠W) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{\text{VX}}{\text{WX}}[/tex]
Sin(34)° = [tex]\frac{VX}{15}[/tex]
VX = 15.Sin(34)°
= 8.8379
≈ 8.8 in.
Therefore, measure of side VX is 8.8 in.
Determine the equation of a line that passes through the points: (3, 12) and (- 2, -13)
Answers
Answer:
Step-by-step explanation:
(-13-12)/(-2-3)= -25/-5= 5
y - 12 = 5(x - 3)
y - 12 = 5x - 15
y = 5x - 3
Kabir wants to know the volume of a solid right pyramid with a square base.
Answers
Activity: A flagpole has cracked 1.7 m from the ground and fallen over, as if hinged. The top of the flagpole hit the ground 3 m from the base. How tall was the flagpole before it fell?
Answers
Answer:
Height of flagpole before it fell = 5.15 m
Step-by-step explanation:
Given:
Height of remain pole (p) = 1.7 m
Distance from base (b) = 3 m
Find:
Height of flagpole before it fell
Computation:
Using Pythagorean theorem
H = √ p² + b
Length of broken part = √ 1.7² + 3²
Length of broken part = √ 2.89 + 9
Length of broken part = √ 11.89
Length of broken part = 3.45 (Approx)
Height of flagpole before it fell = Length of broken part + Height of remain pole
Height of flagpole before it fell = 3.45 + 1.7
Height of flagpole before it fell = 5.15 m