Which congruence theorem can be used to prove angle BDA triangle DBC?
С
B
D
A
OHL
O SAS
O AAS
O SSS
Answers
The answer is actually A. HL
The congruence theorem can be used to prove Δ BDA ≅ Δ DBC is HL.
Option A is the correct answer.
What is triangle congruency?There are ways to prove that two triangles are congruent.
- Side-Side-Side (SSS) Congruence.
The three sides of one triangle are equal to the corresponding three sides of another triangle.
- Side-Angle-Side (SAS) Congruence.
The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.
- Angle-Side-Angle (ASA) Congruence.
The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.
- Angle-Angle-Side (AAS) Congruence.
We have,
We see that,
ΔBDA and ΔDBC are both right triangles.
Now,
DC = AB (hypotenuse) (given)
DB = DB ( Common sides )
CB = DA ( Remaining side of the right triangle )
ΔBDA ≅ ΔDBC
Proved by HL.
Thus,
The congruence theorem can be used to prove Δ BDA ≅ Δ DBC is HL.
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Related Questions
The GCF of 36 uw 3y and 45 u 2y is _____. 9 uy 3 uy 1,620 u 2w 3y 180 u 2w 3y
Answers
Given:
[tex]36uw^3y[/tex] and [tex]45u^2y[/tex]
To find:
The GCF of given expressions.
Solution:
The factor forms of given terms are:
[tex]36uw^3y=2\times 2\times 3\times 3\times u\times w\times w\times w\times y[/tex]
[tex]45u^2y=3\times 3\times 5\times u\times u\times y[/tex]
Now, greatest common factor (GCF) of given terms is
[tex]GCF(36uw^3y,45u^2y)=3\times 3\times u\times y[/tex]
[tex]GCF(36uw^3y,45u^2y)=9uy[/tex]
So, the GCF of given terms is 9uy.
Therefore, the correct option is A.
Solve for the variable using Trig ratio.
Answers
Answer:
x = 3.86
a = 5.86
Step-by-step explanation:
From the triangles attached,
By applying cosine rule in triangle 1,
cos(50)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(50)° = [tex]\frac{x}{6}[/tex]
x = 6cos(50)°
x = 3.86
Now we apply sine rule in the second triangle,
sin(23)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(23)° = [tex]\frac{a}{15}[/tex]
a = 15sin(23)°
a = 5.86
A robot has a straight arm 20 inches long that can rotate about the origin of a coordinate system. If the robot’s hand is located at (-20,0) and then rotates through an angle of 45°, what is the new location of the hand with the coordinates approximated to the nearest 0.01 inch?
Answers
Answer:
The location of the robots hand after rotating 45° counterclockwise from (-20, 0) in inches is (-14.14, 14.14)
The location of the robots hand after rotating 45° clockwise from (-20, 0)) in inches is (-14.14, -14.14)
Step-by-step explanation:
The initial location of the robots hand = (-20, 0)
The angle through which the robot rotates his hand = 45°
∴ We have the length of the robots hand = 20 inches
We note that (-20, 0) is in the 2nd Quadrant
The location of the robots hand after rotating 45° counterclockwise = 135°
Therefore, the location of the robots hand after the rotation = (20×cos(135°), 20×sin(135°)) = (-10·√2, 10·√2) = (-14.14, 14.14)
The location of the robots hand after rotating 45° clockwise from (-20, 0) = 225°
Therefore, the location of the robots hand after the rotation = (20×cos(225°), 20×sin(225°)) = (-10·√2, -10·√2) = (-14.14, -14.14)
i need these from least to greatest A.11^4/11^11 B.1/11^-4 C.(11^-3)^-3 D.11^5•11^2
this is for 30 points
Answers
Answer:
[tex] \frac{ {11}^{4} }{ {11}^{11} } < \frac{1}{ {11}^{ - 4} } < {11}^{5} . {11}^{2} < ( {11}^{ - 3} )^{ - 3} [/tex]
Step-by-step explanation:
[tex]A) \frac{ {11}^{4} }{ {11}^{11} } = {11}^{4 - 11} = {11}^{ - 7} \\ \\ B)\frac{1}{ {11}^{ - 4} } = {11}^{4} \\ \\C) ( {11}^{ - 3} )^{ - 3} = {11}^{ - 3( - 3)} = {11}^{9} \\ \\ D){11}^{5} . {11}^{2} = {11}^{5 + 2} = {11}^{7} \\ \\ \because \: {11}^{ - 7} < {11}^{4} < {11}^{7} < {11}^{9} \\ \\ \therefore \: \frac{ {11}^{4} }{ {11}^{11} } < \frac{1}{ {11}^{ - 4} } < {11}^{5} . {11}^{2} < ( {11}^{ - 3} )^{ - 3} [/tex]
Answer:
A.11^4/11^11
Step-by-step explanation:
The lunch lady has 3 pounds of lasagna. If she makes 1/6 pound servings using this amount of lasagna, how many servings can she make?
Answers
Answer:
She can make 18 servings.
Step-by-step explanation:
We can simply multiply 3 by 6 to get the number of servings.
This is the same as dividing 3 by 1/6 since dividing is the same as multiplying the reciprocal.
Answer the question below?
Answers
the figure is regular quaidlater
the sum of all interior angle is 360
measure of angle = 360/4
= 90
so the exterior angle is 90 ( by linear pair)
What is the length of the hypotenuse? 1. 52 + 122 =c2 2. 25 + 144 =c2 3. 169=c2 c=
Answers
Answer:
Step-by-step explanation:
In order to solve this question we need to know that [tex]a^{2} + b^{2} = c^{2}[/tex] (were a and b are the legs of a right angle triangle and c is the hypotenuse). Now since we are given [tex]a^{2}[/tex] and [tex]b^{2}[/tex],we can solve for hypotenuse in each case. So we do......
1) 52 + 122 = [tex]c^{2}[/tex]
174 = [tex]c^{2}[/tex]
[tex]\sqrt{174} =c[/tex]
13.190905 ≈ c
2) 25 + 144 = [tex]c^{2}[/tex]
169 = [tex]c^{2}[/tex]
[tex]\sqrt{169} = c[/tex]
[tex]13 = c[/tex]
3) 169 = [tex]c^{2}[/tex]
[tex]\sqrt{169} = c[/tex]
[tex]13 = c[/tex]
Hope this helps :)
The length of the hypotenuse 13 units.
What is a hypotenuse?A hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.
Given that, A right triangle has side lengths 5 inches and 12 inches.
Using Pythagoras theorem,
h = √5²+12²
h = √25+144
h = √169
h = 13
Hence, the length of the hypotenuse 13 units.
For more references on hypotenuse, click;
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As a lifeguard, Sara earns a base pay of $80 per day. If her day involves swim instruction, Sara earns an additional $9 per hour, where t represents the number of hours she gives instruction.
Part A: Write an expression to represent how much money Sara earns in a day
Part B: Evaluate your expression to determine how much money Sara earns if she does 7 hours of swim instruction
Answers
Answer:
Part A: y = 9t + 80
Part B: $143
Step-by-step explanation:
When solving this question all we need to keep in mind is the fact that if Sarah will not give swim instructions she will get $80 dollars just because she was there as a lifeguard. Then lets think about what will happen when she will work "t" hours? Well, she will get $80 for just being there as a life guard and then on top of that she will get $9t (because she gets $9 every hour she gives instructions). So just now we made an equation that we can use to express how much money Sara earns a day. It can be written mathematically as the following......
Let "y" be the among of money Sara will get paid at the end of the day. then...
y = 9t + 80
In order to answer Part B of this question we will just have to plug 7 instead of "t" into he expression that we made in part A. And so we get .......
y = 9t + 80
y = (9)(7) + 80
y = 63 + 80
y = 143
In a bouquet of flowers, there are 7 daisies and 19 roses. Write the ration of daisies
to roses in three different ways.
A. 7 to 19, 7:19, 7/19
B.19 to 7, 19:7, 1977
C.7 to 19, 19:7, 1977
D.19 to 7, 7:19, 7/19
Answers
Answer:
A
Step-by-step explanation: : )
Order the set of integers from greatest to least. {6, 17, -20, 15, -19, 26}
Answers
Write a linear function f with the given values.
f(x) =
Answers
Answer:
f(x) = -2x + 1
Step-by-step explanation:
the green shape is a dilation of the black shape.what is the scale factor of the dilation?
Answers
Answer: 5
Step-by-step explanation:
Scale factor = [tex]\dfrac{\text{ side length of image}}{\text{Side-length of original figure}}[/tex]
Given: Black triangle ( original) having perpendicular with length 4 units. [2 blocks above and 2 boxes below the x-axis ]
Green triangle ( image) having corresponding side as 20 units [10 blocks above and 10 boxes below the x-axis ].
Scale factor of dilation = [tex]\dfrac{20}{4}=5[/tex]
Hence, the scale factor of the dilation = 5
Question 4, I do not understand how they figure It out. Please explain
Answers
Answer:
I saw this hope it helps
Chantay made this square picture. She wants to glue yarn around the border to make a frame. How much yarn does she need?
Answers
Answer:
60 I
Step-by-step explanation:
because it would be 15 times 4 right I think
pls help LOL will give brainliest!
The ratio of the measures of the interior angles in a given triangle is 13:23:9. what is the measure, in degrees, of the most acute angle?
Answers
Answer:
36 degrees
Step-by-step explanation:
So, first of all, the interior angles of any triangle add up to 180.
First, you add up all the numbers in the ratio.
13+23+9=45
180/45=4 [To find out how much each piece really equals]
So, now that we know what each piece equals, the most acute triangle was the one that said '9' in the ratio.
4*9=36
Hope it helped, tell me if it's wrong, I'll correct it.
Answer:
36
Step-by-step explanation:
Ratio = 13 : 23 : 9
The interior angles are = 13x , 23x , 9x
13x + 23x + 9x = 180 {Angle sum property}
45x = 180
x = 180/45
x = 4
Most acute angle = 9x = 9*4 = 36
PLEASE HELP ME OUT I NEED HELP
Answers
What is the value of x?
Answers
Answer:
x= 120 degrees
Step-by-step explanation:
A straight line is 180 degrees.
meaning 180-60-40= 80, which makes the missing blank at the bottom of the triangle 80.
80+40= 120 and since x is equal to the inner corner, x is 120.
Identify the solution that has grouped the like terms correctly.
-2+6y+m-2y+8-4m
Answers
Answer:
C
Step-by-step explanation:
The terms with the same variable are like terms.
4.06 = 0.19 = 0.29 = 0.86 = 19% 29% 38% 332% 247% 293% 2.98 = 406% 0.81 = 353% 2.93 = 22% 4.61 = 86% 6% 81% 483% 41% 422% 461% 3.35 = 298% 0.68 = 68% FINISH 55% 0.38 = 424% 71% 413% 315% 26% 88% 92% 2.4 = 335% 0.74 = 74% 3.32 = 3.53 = 172% 248% 240% 125% 28%
Answers
Answer:
what are you asking though
2=b-7 solve this question please
Answers
Answer: 9=b
Step-by-step explanation:
2=b-7
Add 7 to both sides
2+7=b
9=b
Answer:
b = 9
Step-by-step explanation:
2 = b - 7
add 7 to both sides
9 = b
Meredith earns 17.00 per hours at her job. She works 40 hours Per week and gets paid every two weeks. Meredith pays 1/4 of each paycheck in taxes. If Meredith earns a 10% raise in her hourly pay how much more will she pay in taxes
Answers
Answer:
34
Step-by-step explanation:
Amount earned per hour = 17.00
Total hours worked = 40 hours
per week
Total amount earned in two weeks = 2(17.00 × 40)
= 2(680)
= 1,360
Tax = 1/4 of her paycheck
= 1/4 × 1,360
= 1,360/4
= 340
If Meredith earns a 10% raise in her hourly pay
Amount earned per hour = 10% of 17.00 + 17.00
= 0.1 × 17.00 + 17.00
= 1.7 + 17.00
= 18.7
Total hours worked = 40 hours
per week
Total amount earned in two weeks = 2(18.7 × 40)
= 2(748)
= 1,496
Tax = 1/4 of her paycheck
= 1/4 × 1,496
= 1,496/4
= 374
how much more will she pay in taxes
= 374 - 340
= 34
I’ll give brainliest
9x^2+3x^3
Answers
Answer:
9x² + 3x³ = 3x²(3 + x)
Step-by-step explanation:
9x² + 3x³ = 3x²(3 + x)
Answer:
3x²(3 + x)
Step-by-step explanation:
9x² + 3x³
3x²(3 + x)
I hope this helps
Help?????????? Please
Answers
Answer: 2 cups of water to 8 cups of flour
Step-by-step explanation:
Answer:
2 cups of water to 8 cups of flour
Step-by-step explanation:
Which of the following is equal to the square root of the cube root of 6 ? (1 point)
Select one:
a. 6 to the power of 1 over 6
b. 6 to the power of 1 over 3
c. 6 to the power of 2 over 3
d. 6 to the power of 3 over 2
Answers
Answer:
b
Step-by-step explanation:
Patrice has 18 square tiles that she will lay side-by-side to form a rectangle. Name the dimensions of three different rectangles she can form
Answers
Answer:
9x2, 6x3, 1x18
Step-by-step explanation:
9x2=18
6x3=18
1x18=18
Answer:
9x2, 6x3, 1x18
Step-by-step explanation:
Hope this helped have an amazing day!
A bag of 8 apples costs $1.50 at Sam's Orchard. a. At this same
rate, how much would 18 apples cost?
Please help
Answers
Answer:
$3.38
Step-by-step explanation:
8/1.5=18/x
18*1.5/8
3.375
or 3.38
Hope this helps plz hit the crown :D
Answer:
18=3.38
Step-by-step explanation:
At a local restaurant, 40% of the lunch customers order a hamburger, 70% of the lunch customers order French fries, and 30% of lunch customers order both a hamburger and French fries. If a lunch customer is randomly selected from this restaurant, what is the probability that the customer order fries if we know they ordered a hamburger?
0.40
0.40
0.43
0.75
0.30
Answers
Answer:
hola anyone got tacos
Step-by-step explanation:
The probability that a customer orders fries given that the customer orders hamburger is 0.75
To solve this, we make use of the following representations
A represents the event that a lunch customer orders a hamburgerB represents the event that a lunch customer orders a French friesSo, we have:
[tex]P(A) = 40\%[/tex]
[tex]P(B) = 70\%[/tex]
[tex]P(A\ n\ B) = 30\%[/tex]
The probability that a customer orders fries given that the customer orders hamburger is calculated as:
[tex]P(B | A) =\frac{P(A\ n B)}{P(A)}[/tex]
So, we have:
[tex]P(B | A) =\frac{30\%}{40\%}[/tex]
[tex]P(B | A) =0.75[/tex]
Hence, the probability that a customer orders fries given that the customer orders hamburger is 0.75
Read more about probabilities at:
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Expand and simplify
(7 + V 6 )^2
Give your answer in the form b+ c V 6
Answers
Answer:
55 + 14[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Given
(7 + [tex]\sqrt{6}[/tex] )² = (7 + [tex]\sqrt{6}[/tex] )(7 + [tex]\sqrt{6}[/tex] )
Each term in the second factor is multiplied by each term in the first factor, that is
7(7 + [tex]\sqrt{6}[/tex] ) + [tex]\sqrt{6}[/tex] (7 + [tex]\sqrt{6}[/tex] ) ← distribute both parenthesis
= 49 + 7[tex]\sqrt{6}[/tex] + 7[tex]\sqrt{6}[/tex] + 6 ← collect like terms
= 55 + 14[tex]\sqrt{6}[/tex]
b +cV 6 ÷12a
Step-by-step explanation:
let meknow 8i I am wrong
What is the answer to the division problem shown?
9)4590
Answers
Answer:510
Step-by-step explanation:Can double check internet
hii please help mee urgent :)
Answers
Answer:
The answer is C.
explanation:
The reason for answer (C) is because when looking for a function the (X) value cant repeat, but the (Y) can. In answer (C) the x-value 19 repeats.
sorry if its wrong, but pretty sure im right.