Look at the figure. How can you prove the triangles are congruent?
A) it is not possible to determine if the triangles are congruent
B) ABD = CBD by the SSS postulate
C) ABD = CBD by the SSS postulate
Answer:
Δ ABD ≅ Δ CBD SSS
Step-by-step explanation:
AB ≅ CB Given
AD ≅ DC Given
BD ≅ BD Reflexive property
Δ ABD ≅ Δ CBD SSS
person who answers this gets brainliest
If Manny the Martian's shadow is 17.5 ft. in length and the shadow of a yard stick sitting perpendicular to the ground is 7.5 ft., what is Manny's height?
A 8 ft
B 5.5 ft
C 6 ft
D 7 ft
Answer:
letter B.
Step-by-step explanation:
5.5ft
hope it helps you
If AM = x + 8 and MB= 6x – 2, find MB.
Answer:
10
Step-by-step explanation:
Firstly, AM=x+8
or, A=x+8-M......eqn (i)
MB=6x-2
or, B=6x-2-M......eqn (ii)
Now,
from eqn (i) and (ii)
x+8-M=6x-2-M
or, 8+2=6x-x-M+M
or, 10=5x
or, 10÷5=x
therefore, x=2
Again,
MB=6x-2
=6×2-2
=12-2
=10
is it correct
please mark me as BRAINLIEST
Convert the mixed numbers to improper fractions:1. 5 6/72. 8 3/9
BRAINLIEST!!! +10 POINTS!!! REAL ANSWERS ONLY PLEASE!!!
Answer:
plus ten points huh i only see five
Step-by-step explanation:
Answer:
|-x| + 3
Step-by-step explanation:
I say that because -x will be turned into positive x and then add the 3, and you will get the answer.
State the reason for statement #5.
PLEASE ANSWER FAST
1. Given
2. Given
3. Alternate Interior Angles
4. Reflexive Property
5. SAS
Hope this helps!! :)
Given that in isosceles △ABC , base BC¯¯¯¯¯, BE¯¯¯¯¯⊥AC¯¯¯¯¯, and CF¯¯¯¯¯⊥AB¯¯¯¯¯, which of the following proves that BE¯¯¯¯¯≅CF¯¯¯¯¯?
1. Isosc. △ABC, base BC¯¯¯¯¯ (Given)
2. AB¯¯¯¯¯≅BC¯¯¯¯¯ (Def. of Isosc. △)
3. BE¯¯¯¯¯⊥AC¯¯¯¯¯, CF¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
4. ∠BEA and ∠CFA are Supplementary Angles (Def. of ⊥)
5. AB¯¯¯¯¯≅BC¯¯¯¯¯ (Supp. ∠s ≅ Thm.)
6. ∠A≅∠A (Reflex. Prop. of≅)
7. △ABE≅△ACF (SAS Steps 1, 6, 5)
8. BE¯¯¯¯¯≅CF¯¯¯¯¯ (CPCTC)
1. Isosc. △ABC, base BC¯¯¯¯¯ (Given)
2. AB¯¯¯¯¯≅BC¯¯¯¯¯ (Def. of Isosc. △)
3. BE¯¯¯¯¯⊥AC¯¯¯¯¯, CF¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
4. ∠BEC and ∠CFB are Supplementary Angles (Def. of ⊥)
5. AC¯¯¯¯¯≅BC¯¯¯¯¯ (Supp. ∠s ≅ Thm.)
6. ∠A≅∠B (Sym. Prop. of≅)
7. △ABE≅△ACF (SAS Steps 1, 6, 5)
8. BE¯¯¯¯¯≅CF¯¯¯¯¯ (CPCTC)
1. Isosc. △ABC, base BC¯¯¯¯¯ (Given)
2. AB¯¯¯¯¯≅AC¯¯¯¯¯ (Def. of Isosc. △)
3. BE¯¯¯¯¯⊥AC¯¯¯¯¯, CF¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
4. m∠BEA=m∠CFA=90∘ (Def. of ⊥)
5. ∠BEA≅∠CFA (Rt. ∠s ≅ Thm.)
6. ∠A≅∠A (Reflex. Prop. of≅)
7. △ABE≅△ACF (AAS Steps 5, 6, 1)
8. BE¯¯¯¯¯≅CF¯¯¯¯¯ (CPCTC)
1. Isosc. △ABC, base BC¯¯¯¯¯ (Given)
2. AB¯¯¯¯¯≅AC¯¯¯¯¯ (Def. of Isosc. △)
3. BE¯¯¯¯¯⊥AC¯¯¯¯¯, CF¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
4. m∠BEC=m∠CFB=90∘ (Def. of ⊥)
5. ∠BEC≅∠CFB (Rt. ∠s ≅ Thm.)
6. ∠A≅∠B (Sym. Prop. of≅)
7. △ABE≅△ACF (AAS Steps 5, 6, 1)
8. BE¯¯¯¯¯≅CF¯¯¯¯¯ (CPCTC)
The correct proof that proves that BE ≅ CF is the proof in option C. (see attachment).
Recall the following:
An isosceles triangles has two sides that are congruent and a base.AAS Congruence Theorem proves that two triangles are congruent if they possess two pairs of congruent sides and a pair of non-included congruent sides.All corresponding parts of two congruent triangles are equal in measure to each other, based on the CPCTC Theorem.The isosceles triangle ABC given is shown in the image attached below.
To prove that, BE ≅ CF, establish the fact that △ABE ≅ △ACF by the AAS Congruence Theorem.
Since △ABE ≅ △ACF, therefore BE ≅ CF by the CPCTC Theorem.
Thus, the correct proof that proves that BE ≅ CF is the proof in option C. (see attachment).
Learn more about AAS Congruence Theorem on:
https://brainly.com/question/3168048
Given the following function, find f(-2), f(0), and f(1).
f(x) = x2 + 3
=
Answer:
jjjjnnuiuhjiihhiihb
Step-by-step explanation:
tyuijiojnoo.
yu8ijhiihj
Your mother bought 2 kilograms of chicken and 3 kilograms of pork to consume in week. How many kilograms of chicken and pork did your family consume in a month?
Answer:
20?.... seems right to me.
Step-by-step explanation:
9514 1404 393
Answer:
20 kg
Step-by-step explanation:
The mass of the chicken and pork for 1 week is (2 kg) +(3 kg) = 5 kg.
Normally, we think of a month as 4 weeks.
(4 wk)(5 kg/wk) = 20 kg
If pork and chicken are consumed at the same rate for 4 weeks, the family will consume 20 kg of pork and chicken.
_____
If we consider a year to be 52 weeks (it is actually 1 or 2 days longer), then the number of weeks in an average month is ...
52/12 = 4 1/3 weeks/month
Multiplying that value by 5 kg/week will give 21 2/3 kg per month.
__
The answer depends on the assumption you make about weeks in a month.
May I please receive help?
the cost of a new laptop is $750 which genorates a sales tax of$37.50 what is the sales tax rate
Answer:
5%
Step-by-step explanation:
To find the sales tax rate, you would divide the tax by the cost to see the percentage of the tax.
$750 / $37.50= 0.05
The answer is 5%
Hope this helps
Function 1 is defined by following table what function has greater y- intercept?
Answer:
They both have the same y intercept
Step-by-step explanation:
(1,0)(0,3)
(0,3)(1,-1)
A family of 2 adults and 3 children goes to a play . admission costs $8per adults and $5 per child. what expression would show the total admission cost for the family
Answer:
8 + 8 + 16 5 * 3 is 15 16 + 15 is 31 that is the answer to the question
greatest common factor of 5, 6 and 15
Answer:
1
Step-by-step explanation:
As you can see when you list out the factors of each number, 1 is the greatest number that 5, 6, and 15 divides into.
Please help! Algebra question see picture...
Marking Brainliest!
Answer: G is -1/3
Step-by-step explanation:
967 times 24 equals?
Answer:
23,208 is the final answer.
Hope this helps!
Answer:
23,208
Hopefully this is correct
Which of the following numbers are rational, but NOT integers?
Select one or more:
a.√33
b.8.4
c.3/4
d.0
Answer:
0
Step-by-step explanation:
Zero is a rational number, and we know that the integer 0 can be written in any one of the following forms. ... Thus, 0 can be written as, where a/b = 0, where a = 0 and b is any non-zero integer. Hence, 0 is a rational number and not an integer.
[tex]Simplify: \frac{ 5×(25)^{n+1} - 25 × (5)^{2n}}{5×(5)^{2n+3 }- (25)^{n+1}} \\ [/tex]
Need help please"....."
[tex] \green{\large\underline{\sf{Solution-}}}[/tex]
Given expression is
[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]
can be rewritten as
[tex]\rm \: = \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]
We know,
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]
And
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]
So, using this identity, we
[tex]\rm \: = \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]
can be further rewritten as
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]
[tex]\rm \: = \: \dfrac{4}{25 - 1} [/tex]
[tex]\rm \: = \: \dfrac{4}{24} [/tex]
[tex]\rm \: = \: \dfrac{1}{6} [/tex]
Hence,
[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]
helpppppppppppppppppppppppppppppppppppppppppppppppppp plessssssssssss
screenshot
Answer:
2.511 square kilometers
How do I solve for this?
https://brainly.com/invite/3caaa23db4167cc1029ce1999a411bee?utm_source=invite&utm_medium=link&utm_campaign=bfp_parental_feed&utm_term=parent
Answer:
angle L = 100 degrees
angle M = 110 degrees
angle N = 70 degrees
angle P = 80 degrees
Step-by-step explanation:
find value of 'x' then substitute into each of the four angle expressions
to find 'x', add all expressions and set them equal to 360 (there are 360 degrees in any four-sided polygon)
2x + 20 + 3x - 10 + 2x - 10 + 2x = 360
combine 'like' terms to get:
9x = 360
x = 40
angle L = 2(40) + 20 = 100 degrees
angle M = 3(40) - 10 = 110 degrees
angle N = 2(40) - 10 = 70 degrees
angle P = 2(40) = 80 degrees
Check:
100 + 110 + 70 + 80 = 360
hellppppppppppppppppppppppppp
Answer:
⁴/2
Step-by-step explanation:
because is I solveng to be a good
brainliest me
Answer:
Common ratio is - 4 / 2.
Step-by-step explanation:
Sequence = - 2, 4, - 8, 16, - 32, ....
Let the terms be " a ".
Here,
a1 = 2
a2 = 4
a3 = - 8
a4 = 16
a5 = - 32
Let the common ratio be " r ".
r1 = a2 / a1
= 4 / - 2
r1 = - 2
r2 = a3 / a2
= - 8 / 4
r2 = - 2
r3 = a4 / a3
= 16 / - 8
r3 = - 2
r4 = a5 / q4
= - 32 / 16
r4 = - 2
Since, the common ratios are same,
Therefore, r = - 2
- 4 / 2 = - 2
So, - 2 can also be written as - 4 / 2.
Hence,
r = - 4 / 2
Finally,
Common ratio ( r ) = - 4 / 2
Convert 62 miles to hour to feet to second
62 Miles per Hour =
90.933333 Feet per Second
(rounded to 8 digits)
what is the equation of the line that is perpendicular to y = −2x + 5 through the point (-4, -5)
Step-by-step explanation:
m1=-2
m1m2=-1
-2m2=-1
m2=1/2
y+5/x+4=1/2
so 2y+10=x+4
2y-x=-6
Answer:
[tex]y=\frac{1}{2}x-3[/tex]
Step-by-step explanation:
Hi there!
We are given the equation y=-2x+5 and we want to find the equation of the line that is perpendicular to that line, and pass through the point (-4, -5)
Perpendicular lines have slopes that multiply to get -1.
So to find the slope of the perpendicular line: use the formula [tex]m_1*m_2=-1[/tex], where [tex]m_1=-2[/tex]
Substitute:
-2m=-1
Divide both sides by -2
m=[tex]\frac{1}{2}[/tex]
Here's the equation of the line so far, as we know it, written in slope-intercept form (y=mx+b, where m is the slope and b is the y intercept):
[tex]y=\frac{1}{2}x+b[/tex]
We need to find b.
Because we know the line passes through the point (-4, -5), we can use it to help solve for b.
Substitute -4 as x and -5 as y
[tex]-5=\frac{1}{2}(-4)+b[/tex]
Multiply:
-5=-2+b
Add 2 to both sides
-3=b
Substitute -3 as b:
y=[tex]\frac{1}{2}x-3[/tex]
Hope this helps!
pls helpppppppppppppppppp meeeeeee marking BRAINLIEST!
You are selling tickets to your school musical. Student tickets cost $2 and general admission tickets are $3. You sell 17 tickets and collect $42 how many of each type of ticket did you sell?
Answer:
9 student tickets and 8 general admission ticketsStep-by-step explanation:
Let the number of student tickets is s and general admission tickets - g.
Set equations and solve:
s + g = 172s + 3g = 42Double the first equation and subtract from the second to eliminate s:
2s + 3g - 2s - 2g = 42 - 2*17g = 8Find s:
s = 17 - 8 = 9Let the student tickerts and general tickets be x and y respectively
x+y=17=>x=17-y2x+3y=42--(2)From (1) put in (2)
2(17-y)+3y=4234+y=42y=8And
x=17-8=9What is the value of 6(9+2)/h when g = 6 and h = 4?
Answer: 12
Plug 6 and 4 into the problem-
6(6 + 2)/4
6(8)/4
48/4 = 12
Hey there!
6(g + 2) / h
= 6(6 + 2) / 4
= 6(8) / 4
= 8(6) / 4
= 8 + 8 + 8 + 8 + 8 + 8 / 4
= 16 + 16 + 16 / 4
= 32 + 16 / 4
= 48 / 4
= 48 ÷ 4 / 4 ÷ 4
= 12 / 1
= 12 ÷ 1
= 12
Therefore, your answer is: 12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Please what is the answer?
Answer: scale to measure the weight
Step-by-step explanation:
need help for 20 points.....plzzzzz
a^2/16-5ab+100b^2
is it factorization ...
I NEED HELP ON 1 PLEASEEE
Answer:
C
Step-by-step explanation:
SA of a cylinder formula:
A=2πrh+2πr^2
A=2π(3)(15)+2π(3)^2
A=339.29in^2
Hope that helps
Answer:
Step-by-step explanation:
Hi there!
From the given figure;
Radius(r) = 3 inch
Height (h) = 15 inch
Now;
Total surface area (TSA) = 2πr(r+h)
TSA = 2*([tex]\frac{22}{7}[/tex])*3(3+15)
TSA = [tex]\frac{132}{7}[/tex]*18
TSA = 339.42in².
Therefore, the answer is option c (339.29in²).
Hope it helps!
please please please help PLEASE PLEASE
Step-by-step explanation:
refer to the picture.. hope this helps :)