Answers
Given:
In [tex]\Delta ABC, \overline{CA}=\overline{CB}[/tex].
[tex]\overline{CD}[/tex] is an altitude drawn from C to [tex]\overline{AB}[/tex].
To prove:
[tex]\overline{CD}[/tex] bisects [tex]\overline{AB}[/tex].
Proof:
In [tex]\Delta ABC[/tex], [tex]\overline{CD}[/tex] is an altitude drawn from C to [tex]\overline{AB}[/tex].
It means, [tex]\Delta ACD\text{ and }\Delta BCD[/tex] are right angle triangles.
In [tex]\Delta ACD\text{ and }\Delta BCD[/tex],
Hypotenuse : [tex]\overline{CA}=\overline{CB}[/tex] [Given]
Leg : [tex]\overline{CD}=\overline{CD}[/tex] [Common]
If the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then by HL postulate both triangles are congruent.
[tex]\Delta ACD\cong \Delta BCD[/tex] [HL postulate]
[tex]\overline{AD}\cong \overline{BD}[/tex] [CPCTC]
[tex]\overline{AD}=\overline{BD}[/tex]
It means, point D is the midpoint of [tex]\overline{AB}[/tex].
So, [tex]\overline{CD}[/tex] bisects [tex]\overline{AB}[/tex].
Hence proved.
Related Questions
Simplify the expression:
Question 20 options:
A)
B)
2
C)
4
D)
Answers
Helpppppppppppppppppppppp
Answers
Answer:
16
Step-by-step explanation:
y=2x
2*2=4
3*2=6
6*2=12
8*2=16
Answer:
16
Step-by-step explanation:
y=2x
2*2=4
3*2=6
6*2=12
8*2=16
Hope this helps :)
math The newly elected president needs to decide the remaining 3 spots available in the cabinet he/she is appointing. If there are 15 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed
Answers
Answer:
2730 ways
Step-by-step explanation:
Given that,
There are 15 eligible candidates for these positions.
The newly elected president needs to decide the remaining 3 spots available in the cabinet he/she is appointing.
It is a concept based on permutations.
[tex]P(n,r)=\dfrac{n!}{(n-r)!}[/tex]
Put n = 15 and r = 3
[tex]P(15,3)=\dfrac{15!}{(15-3)!}\\\\=\dfrac{15!}{12!}\\\\=\dfrac{15\times 14\times 13\times 12!}{12!}\\\\=15\times 14\times 13\\\\=2730[/tex]
Hence, 2730 ways can the members of the cabinet be appointed
You need to lower your debt to credit limit ratio by $1,000. Your current limit is $1,400. $1,000 is what percent of your credit limit?
Answers
Answer:
1,000 of 1,400 is 71.43%
What’s 5,700 divided by 70
Answers
Have a good day hope this helps! :)
Answer:
81.4285714286
Step-by-step explanation:
1. If the original price of an item was 75 cents and the new price is 81 cents, 1 pc
what is the percent change? (MAKE SURE YOU TYPE % AT THE END OF
YOUR ANSWER) *
Your answer
Answers
Answer:
8%
Step-by-step explanation:
Original Price = 75 cents New Price = 81 cents, % increase = ?
% increase = 81 - 75/75 × 100%
% increase = 6/75 × 100%
% increase = 8% ( Ans)
Solve. Round to the nearest tenth.
6
2-12
19
2x-2
HELP ASAP!!
Answers
Answer:
[tex]\displaystyle x = \frac{216}{7}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{6}{19} = \frac{x - 12}{2x - 2}[/tex]
Step 2: Solve for x
Cross-multiply: [tex]\displaystyle 6(2x - 2) = 19(x - 12)[/tex]Distribute: [tex]\displaystyle 12x - 12 = 19x - 228[/tex]Isolate x terms: [tex]\displaystyle -12 = 7x - 228[/tex]Isolate x term: [tex]\displaystyle 216 = 7x[/tex]Isolate x: [tex]\displaystyle \frac{216}{7} = x[/tex]Rewrite: [tex]\displaystyle x = \frac{216}{7}[/tex]Answer:
[tex] \frac{6}{19} = \frac{x - 12}{2x - 2} \\ 6(2x - 2) = 19(x - 12) \\ 12x - 12 = 19x - 228 \\ 7x = 216 \\ \boxed{x = 30.857}[/tex]
30.857 is the right answer.if h(x)=x power of 2 -5x+7 find the value of h(-5)
Answers
Answer:
Step-by-step explanation:
wth is college in my recommended anyways here's the answer
your answer is -5
Solve for x
4^x/9^x=½
Answers
Answer:
x = 0.85476
Step-by-step explanation:
4ˣ/9ˣ=½
9ˣ / 4ˣ = 2
(9/4)ˣ = 2
2.25ˣ = 2 .... aⁿ = x logₐx = n
log₂.₂₅2 = x
x = 0.85476
Solve working backwards with the distributive property. 7(7) - 7(2) =
Answers
Answer:
35
Step-by-step explanation:
(7x7=49) (7x2=14)
then you do
49-14= 35
Angela works at a job that pays $9.46 per hour. She works for 30 hours per week.
Compute the total amount that Angela makes in one week.
$
Number
Answers
plz help me i really beg of you!
Answers
Answer:
v = -122.5
Step-by-step explanation:
1: 2.3 + v/7 = -15.2
2: v/7 = -17.5
3: v = -122.5
Step 1: This is the given equation
Step 2: Here, 2.3 was subtracted from both sides of the equation to isolate v
Step 3: both sides of the equation were multiplied by 7 to get v = -122.5
Answer:
245 over 2
Step-by-step explanation:
just use a calculator and you should be able to get the question right
What is the length of side EF in the triangle? Please give a step by step explanation, I'm having lots of trouble finding the solution. Thank you!
Answers
[tex]{\underline{\underline{\bf{Given:}}}}[/tex]
A right-angled triangle DEFMeasure of angle F = 90°Measure of side DF = 13.6 mMeasure of side DE = 16.2 m[tex]{\underline{\underline{\bf{Need\:to\:find:}}}}[/tex]
The measure of side EF.[tex]{\underline{\underline{\bf{Formula\:to\:be\:used:}}}}[/tex]
Pythagorean Theorem:
[tex]\underline{\boxed{\sf{{Base}^{2}+{Perpendicular}^{2}={Hypotenuse}^{2}}}}[/tex]
[tex]{\underline{\underline{\bf{Solution:}}}}[/tex]
According to the given data, we know the measures of Perpendicular and Hypotenuse. Hence, the measure of the base (Side FE) can be found by substituting the given measures in Pythagorean Theorem.
[tex]\implies{\sf{{Base}^{2}+{Perpendicular}^{2}={Hypotenuse}^{2}}}[/tex]
[tex]\implies{\sf{{EF}^{2}+{DF}^{2}={DE}^{2}}}[/tex]
[tex]\implies{\sf{{EF}^{2}+{(13.6)}^{2}={(16.2)}^{2}}}[/tex]
[tex]\implies{\sf{ EF = \sqrt{ {(16.2)}^{2} - {(13.6)}^{2} } }}[/tex]
[tex]\implies{\sf{ EF = \sqrt{ 262.44 - 184.96 } }}[/tex]
[tex]\implies{\sf{ EF = \sqrt{77.48 } }}[/tex]
[tex]\implies{\sf{EF=\red{\underline{\underline{8.802\:m}}}}}[/tex]
[tex]{\underline{\underline{\bf{Required\:answer:}}}}[/tex]
The length of side EF is 8.802 m.___________________________________________plz help me i beg of you?
Answers
Answer:
it will take her 6/8 days
Step-by-step explanation:
just subtract 1/8 from 7/8
Answer:
6/8 (3/4 in simplest form)
Step-by-step explanation:
have a good day :)
f) One number is 78 more than
another. If you add 12 to tbe
smaller number, the result is 50.
What is the larger number?
Answers
Answer:
The larger number = 116
Step-by-step explanation:
Let the smaller number = x
Given that one number is 78 more than another, so
The larger number = x+78
Given that if we add 12 to the smaller number, the result is 50, so
[tex]x+12=50[/tex]
subtract 12 from both sides
[tex]x+12-12=50-12[/tex]
Simplify
[tex]x=38[/tex]
Therefore,
The smaller number = 38The larger number = x+78 = 38+78 = 116Thus, the larger number = 116
Which graph represents y = √ X
Answers
Explanation:
[tex]\displaystyle [9, 3] → 3 = \sqrt{9} \\ [4, 2] → 2 = \sqrt{4} \\ [1, 1] → 1 = \sqrt{1} \\ [0, 0] → 0 = \sqrt{0}[/tex]
**In this case, we want NON-NEGATIVE terms.
I am joyous to assist you at any time.
HW HELP ASAPPP
+10PTS
Answers
Answer:
bruce
y = 1/4 x
Step-by-step explanation:
9 tiles per sq ft for felicia
so 1/9 sq ft per tile
so bruce covers more
HELP PLEASE!!
The question: Are these two quantities in a proportional relationship? Explain why or why not. Use number or words to explain your answer.
Answers
Answer:
Yes it is correct.
Step-by-step explanation:
It is correct because .75 time 3 is 2.25 and .75 times 4 is 3.00 and .75 times 6 equals 4.50 and .75 times 8 equals 6.00.
PLEASE HELP ASAP WILL GIVE BRAINLEIST!!
What is the circumference of this circle?
Answers
Answer:
37.7
Step-by-step explanation:
C = 2 pi r
C= πd
12× 22/7
= 264/7
= 37.71cm
Helpppp meee (10 points )
Answers
122
Explanation:
Do you need one ?
pls help !! - Using the graph below, what is the rule for a translation form point A to point D?
Answers
Answer:
B
Step-by-step explanation: i took the test on docs/forms
Lisa solved the equation x + 6 = 8 + 7x and claimed that the solution is X=-6. Is she
correct? Explain.
Answers
Answer:
she is wrong x would be -1/3
Step-by-step explanation:
-6x - 2 = 0
x = -2/6 which is equal to -1/3
A crafter is making a triangular flag. She has two sides of length 22 in and 36 in. What are the length possibilities for the third side?
Answers
Answer:
22 in.
Step-by-step explanation:
IN MY BRAIN
What is the quotient of 2/3 divided by 4
Answers
Answer:
Step-by-step explanation:
(2/3)/4=(2/3)*(4/1)=8/3=2 2/3
ILL MARK BRAINLIST pls help
Answers
You cut out the question-
What’s the answer? Pls help soon
Answers
Answer:
Step-by-step explanation:
didn't distribute the 3 into the six
16z+72z-18-7-31z
57z-25
i gicveeeeee brainlilstttt
Answers
Answer: (-2,6)
Step-by-step explanation:
Hope this helps ;)
Which of the following statements is correct? Group of answer choices For day-to-day business data analysis, most firms rely on a large staff of expert statisticians. A statistical test result that is significant also has practical importance. A parameter is a measure that is calculated from a sample. Statistics is the science of believability.
Answers
Answer:
Step-by-step explanation:
From the answer choices available the answer that is correct is that for day-to-day business data analysis, most firms rely on a large staff of expert statisticians. This is because on a daily basis firms receive large sets of data from all of their business movements, therefore a large staff of highly experienced individuals is needed in order to handle and document all of these numbers carefully so that no mistakes are made. The smallest mistake in the firm's financial accounts can lead to a very costly loss for the company.
the length of a living room is 12 fert and its width is 10 1/2 feet. the length of the room is being expanded by x feet. select all the expressions that represent the area of the living room in square feet
Answers
Answer:
vbhjnkmlnkbjvhcgfdxgcvhbjnncnng
Step-by-step explanation:
cxvcxbvcbcvbvcbcvbvcvbb
Answer:
thanks
Step-by-step explanation:
Liza types 180 words in 3 minutes. At
that rate, how many minutes does it
take her to type 1,260 words?
Answers
1260 divided by 60= 21
21minutes
