Using the diagram below, which of the following parts of the triangles are
congruent?
7 miles
B
С
16 ft
12 ft
D
21 ft
E
1 mile = 5280 ft
Given:
1. ACAB-ACED
2. AB ||ED
A. ZA ZB
B. ZASZC
y
Answer: Choice D. [tex]\angle A \cong \angle E[/tex]
Explanation: Since AB is parallel to ED, this means the alternate interior angles A and E are congruent as marked below.
Angle A is congruent to angle E by alternate interior angle theorem. Therefore, option D is the correct answer.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
Given that, triangle CAB is similar to triangle CED and AB is parallel to ED.
From the given figure, AB=7 miles, DC=16 ft, EC=12 ft and DE=21 ft.
Here, in figure,
∠A ≅ ∠E (Alternate interior angles)
∠B ≅ ∠D (Alternate interior angles)
∠ACB ≅ ∠DCE (Vertically opposite angles are congruent)
Therefore, option D is the correct answer.
To learn more about the similar triangles visit:
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Which of the following represents the set of possible rational routes for the polynomial shown below
2x^3+5x^2-8x-10=0
Answer:
The given polynomial is,
2x³+5x²-8x-10=0
all possible roots of a polynomial,
ax³+b²+c x +d=0 ← all possible factors of ration (d/a)
Therefore, eq (1), all possible factors are the factors of ratio (-10/2)
which are, B) { ± 1, 1/2, ± 2, ± 5/2, ±5, ± 10}
OAmalOHopeO
DOES A TRANSLATION PRESERVE ITS LENGTH, SHAPE, SIZE, AND ORIENTATION? EXPLAIN.
Step-by-step explanation:
Yes. A translations preserve it's. length, shape,size and orientation. WHY?
, A translation is a rigid transformation so it preserve it physical features of the shape( both pre image and current image).A translation can be used to show if two figures are congruent so it preserve it shape.Solve for “X”
a. 7/3 =X/49
Answer:
[tex]x = \frac{343}{3} [/tex]Step-by-step explanation:
Given,
[tex] \frac{7}{3} = \frac{x}{49} [/tex]
[tex] = > x = \frac{7}{3} \times 49[/tex]
[tex] = > x = \frac{343}{3} (ans)[/tex]
Answer:
343/3 or 114 1/3
Step-by-step explanation:
7/3 = x/49
Using cross products
3x = 7*49
3x =343
Divide by 3
3x/3 = 343/3
x =343/3
x =114 1/3
(4*10^4)+(6*10^2) Standard form
Answer:
40600
Step-by-step explanation:
(4 * 10^4) + (6 * 10^2) =
= 4 * 10000 + 6 * 100
= 40000 + 600
= 40600
Answer:
4.06 x 10^4
Step-by-step explanation:
Find the length of AD in the figure.
A. √26 units
B. √34 units
C. √122 units
D. √130 units
Answer:
√122
Step-by-step explanation:
To find the distance/length between two points
Use this formula: [tex]\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex]\sqrt{(1 - 2)^2 + (3 + 8)^2}[/tex]
[tex]\sqrt{(-1)^2 + (11)^2}[/tex]
[tex]\sqrt{1 + 121}[/tex]
[tex]\sqrt{122}[/tex]
is the value of x=3 find the value of 4x³-2x²+3x
Answer:
99
Step-by-step explanation:
4x³-2x²+3x
4×3³-2×3²+3×3
4(27)-2(9)+9
108-18+9
99
99
=(4)(27)−2(32)+(3)(3)
=108−2(32)+(3)(3)
=108−(2)(9)+(3)(3)
=108−18+(3)(3)
=90+(3)(3)
=90+9
=99
What is the volume of the solid? Let π=3.14
Answer:
V = 7234.56 km^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
V = 4/3 (3.14) (12)^3
V = 7234.56 km^3
Answer:
7234, 56 km³
Step-by-step explanation:
π×R³×4/3=3.14×1728×4/3=7234, 56 km³
Determine the slope for the equation.
I started it but got stuck
7/5 thats the answer lol
the exterior angle of a regular polygon is 36°. what is the name of this polygon?
Answer:
Answer:
the polygon name is decagon
Step-by-step explanation:
sum exterior angles is 360
10 sides
360÷10=36
Answer:
decagon
Step-by-step explanation:
[tex] \frac{360 \degree }{size \: \: of \: \: \: \: the \: \: exterior \: \: angle} = number \: \: of \: \: sides \\ \\ \frac{360}{36} = 10 \: \: sides \\ [/tex]
Name of the polygon which has 10 sides is decagon
The corresponding edges of two similar containers are 56cm and 84cm.Find the ratio of the capacities
Answer:
8 : 27
Step-by-step explanation:
Given the ratio of sides of 2 similar objects = a : b , then
ratio of volumes = a³ : b³
Here ratio of sides = 56 : 84 = 2 : 3 , then
ratio of volumes = 2³ : 3³ = 8 : 27
Describe this sequence. 2, 6, 18, 54
Choices:
The sequence starts at 54 and divides by 3 repeatedly.
The sequence starts at 6 and adds 12 repeatedly
The sequence starts at 2 and adds 4 repeatedly
The sequence starts 2 and multiplies by 3 repeatedly
Find the distance between K(9, 2) and L(-3, 9) to the nearest tenth
Answer:
≈ 13.9
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = K(9, 2) and (x₂, y₂ ) = L(- 3, 9)
d = [tex]\sqrt{(-3-9)^2+(9-2)^2}[/tex]
= [tex]\sqrt{(-12)^2+7^2}[/tex]
= [tex]\sqrt{144+49}[/tex]
= [tex]\sqrt{193}[/tex]
≈ 13.9 ( to the nearest tenth )
You put $5000 in an investment account with interest compounded
continuously. Calculate the approximate annual interest needed for the
account to grow to $10,000 after 20 years.
Answer:
3.465 %
Step-by-step explanation:
10000 = 5000 [tex]e^{20r}[/tex]
2= [tex]e^{20r}[/tex]
ln(2) = 20r ln(e)
r = ln(2)/20
r = 0.03465
CAN SOMENE PLESAE ANSWER B ITS URGERT MARKING BRAINLIEST
Does this graph represent a function (scatter)
A. Yes
B. No
Answer:
A. Yes
Step-by-step explanation:
it is always yes because no os negative
Answer
a
Step-by-step explanation:
it does represent a function
A shop owner buys loaves of bread at $4800 and sells them for $5650 each. Find the percentage profit/ loss earned.
Answer:
17.708333% increase
Step-by-step explanation:
To find the percent increase take the new price and subtract the old price
5650-4800
850
Divide by the old price
850/4800
0.177083333
Change to percent form
17.708333% increase
What is the slope of a line parallel to line B?
Sandra has developed a program designed to increase reading comprehension scores in 6th graders. She randomly selects three students and has them participate in her program. When she compares the mean score from the students who completed her program to three students who did not participate in the program, she finds no significant difference between their mean scores. What is most likely the reason for the non-significant finding
Answer:a small sample size
Step-by-step explanation:
From the information given in the question, we are informed that Sandra developed a program that was designed to increase reading comprehension scores in 6th graders and she then randomly selects three students and has them participate in her program.
After comparing the mean score from the students who completed her program to three students who did not participate in the program, she finds no significant difference between their mean scores, it should be noted that the reason for this will be because the sample size is small.
If a large sample size was used, this could have been different as thsi could result in a significant difference between their mean scores.
could someone please answer this
Answer:
Step-by-step explanation:
draw a parallel line to x at a distance of 23 cutting the quadrilateral in two points.
A right angle is formrd at the bottom.
Hypotenuse=59
one side=45-23=22
x= other side=√(59²-22²)=√(59-22)(59+22)=√((37)(81))=9√(37)≈54.74
Which equation matches the graph shown?
Answer:
f(x) = -(x+2)(x-1)
Step-by-step explanation:
We know the zeros are at 1 and -2
f(x) = a *(x-b1)(x-b2) where b1 and b2 are the zeros and a is a constant
f(x) =a(x-1)(x- -2)
f(x) =a(x-1)(x+2)
We know that a must be negative since the parabola opens down so
The only choice is choice D where a = -1
f(x) = -(x+2)(x-1)
Find the length of the segment indicated. Round to the nearest tenth
Answer:
x=5
Step-by-step explanation:
x is the length of the line segment from the center to the boderline of circle. So x=5
the actual length of wall c is 4 m . to represent wall c noah draw a segment 16cm long what scale is he using explain your reasoning
Answer:
1/25
Step-by-step explanation:
1 m = 100 cm
4m x 100 = 400 cm
If it is 16 cm long, then the scale factor is 16/400, which simplifies to 1/25.
Sue was paid $384 for working 32 hours. How many hours will she have to work to earn $672?
Answer:
56
Step-by-step explanation:
Answer:
56 hours
Step-by-step explanation:
I divided 384 dollars by 3w hours and then was Sue made 12 an hour. Then I tried mukyiplong different times until I discovered 12×56=672. So, 56 hours
help me pleaseeeeee!!!!!!
Step-by-step explanation:
AC = 20
AB = 18
BC² = 20²+ 18² -2•20•18•cos(52°)
BC² = 280.72
BC = √280.72
BC ≈ 16.75
Angle C:
18² = 20² + 16.75² -2•20•16.75•cos(C)
324 = 400 + 280.72 -670•cos(C)
cos(C) = -356.72/-670
cos(C) ≈ 0.53
acos(0.53) = C
C = 57.8°
Angle B:
180-52-57.8 = 70.2°
Please hurry I will mark you brainliest
What is the value of p so that the line passing through (6, 2) and (9, p) has a slope of -1?
Answer:
-1
Step-by-step explanation:
im pretty sure its right
sry if it not good luck!!
The match starts at 14 55 and ends 1 hour 50 minutes later. Work out the time the match ends
Choose the inequality that represents the following graph.
Answer:
D) x ≥ -2
Step-by-step explanation:
Please help me solve this guys Thankyou so much
Step-by-step explanation:
first blank: 0 seconds
second blank: 9.8 seconds
third blank: 5 seconds
fourth blank: 120 meters
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
A ___________________ summarizes all values in a data set and lists how many times they occur.
A. tally chart
B. data value
C. data summary
D. frequency table
Answer:
Step-by-step explanation:
B) data summary its in the words it sums up the answers to all the data you've collected over timew