5
I
А
Given: AC bisects ZBAD
and ZBCAZDCA
D
Prove: AABC = AADC
B
с
Statement
Reason
Answer:
6
Step-by-step explanation:
The segment AC is the angle bisector of angle BAD and angle BCD.
What is an angle bisector?A ray, segment, or line that divides a given angle into two equal angles is known as an angle bisector.
When something is bisected or bisected, it is split into two equal sections. In geometry, an angle bisector is a line or ray that divides a triangle into two equal angles.
here, we have,
Given that ΔABC ≅ ΔADC Prove: AC bisects ∠BAD and AC bisects ∠BCD
From the given data it is concluded that all the corresponding angles of the triangle are equal to each other.
In the triangle ABC and ADC:-
∠BAC = ∠DAC
∠BCA = ∠DCA
From the above proof, it is concluded that the AC bisects ∠BAD and ∠BCD.
Therefore, the segment AC is the angle bisector of angle BAD and angle BCD.
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4. Which pair of trig functions are equivalent?
sin 23, sin 67
COS 41, sin 41
cos 58, sin 122
cos 76, sin 14
The pair of trigonometric functions that are equivalent is cos76°, sin14°.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
We know sin(π/2 - Ф) = cosФ and cos(π/2 - Ф) = sinФ.
sin23° = cos(90° - 23°) = cos67°.
cos41° ≠ sin41°.
cos58° = cos(180° - 58°) = cos122°.
cos76° = sin(90° - 76°) = sin14°.
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The first step to solve the equation x/4-3/4=16 is shown below
Answer:
i think it is A because that seems like the one making the most sense
Step-by-step explanation:
At the grocery store, sliced turkey deli meat is on sale for $11 for 2 pounds. a. What is the cost per pound of sliced turkey deli meat? b. Write an equation to represent the cost "y" of sliced turkey deli meat measured in "x" pounds. *
Answer:
- $5.5 per pound
- [tex]y = 5.5x[/tex]
Step-by-step explanation:
Given
$11 for 2 pounds
Solving (a): Cost per pound
This is calculated by dividing $11 by 2 pounds
[tex]Cost\ per\ pound = \frac{\$11}{2\ lb}[/tex]
[tex]Cost\ per\ pound = \$5.5/\ lb[/tex]
Hence, the cost per pound is $5.5 per pound
Solving (b): Represent as an equation.
If 1 pound costs $5.5 (as shown in (a))
Then
x pounds costs $5.5 * x
[tex]Cost = 5.5 * x[/tex]
[tex]Cost = 5.5x[/tex]
This cost is represented with y
[tex]y = 5.5x[/tex]
(3^8x 2^-5x 9^0)^-2x (2^-2/3^3)^4x 3^28 PLS HELP
Answer:
(3^8x 2^-5x 9^0)^-2x (2^-2/3^3)^4x 3^28 =4
i hope this is correct
Step-by-step explanation:
How many integers are between - 6,01 and 7.75?
13
14
15
16
Answer:
14 integers
Step-by-step explanation:
Given
[tex]Range: -6.01\ to\ 7.75[/tex]
Required
Determine the number of integers
Integers implies numbers without decimals; it could be positive or negative or 0.
So, within the range: the integers are:
[tex]-6, -5, -4,-3,-2,-1,0,1,2,3,4,5,6,7[/tex]
Notice that the above numbers are integers within the given range.
By counting them, we get the required number of integers.
[tex]Numbers = 14[/tex]
Hence, there are 14 integers
Help me out here please....
can you please help me with this question
Solve.
2(z - 10) = -4
Answer:
z=8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(z−10)=−4
(2)(z)+(2)(−10)=−4(Distribute)
2z+−20=−4
2z−20=−4
Step 2: Add 20 to both sides.
2z−20+20=−4+20
2z=16
Step 3: Divide both sides by 2.
2z2=162
z=8
I help to solve this problem by adding integers -2+(-4)
Answer:
-6
Step-by-step explanation:
-2 + (-4)
-2 - 4
-6
Answer:
-6 is the answer
Step-by-step explanation:
If you invest $2,000 now at an interest rate of 5% compounded quarterly, in 20 years the investment will be worth?
Answer:
it would be worth 80,000
Step-by-step explanation:
Can anyone help me determine the next terms in these sequences?
6, 8, ?, 16, 24, 28,...
1000, 999, 996, 991, 984,...
7, 9, 13, 17, ?, 29,...
8, 11, 29, 51, 125, ?, 293,...
9, 11, 30, 51, 126, ?, 294,...
102532, 112433, 122334,...
Answer:
132235
Step-by-step explanation:
2 4/5 ___ 2.45
(>,<,=)
Answer:
2 and 4/5 > 2.45
Step-by-step explanation:
2.8 is greater than 2.45
Answer:
2 4/5 is equal to 2.8 so 2 4/5 > 2.45
Step-by-step explanation:
find the values of x and y
Answer:
x = 90
y = 43
Step-by-step explanation:
[tex] In\: \triangle ABC\\
AB = AC.... (given)
\therefore m\angle ABC = m\angle ACB\\[/tex] (Property of isosceles triangle)
[tex] \because m\angle ACB = 47\degree \\
\therefore m\angle ABC = 47\degree \\
2y\degree + 47\degree+47\degree = 180\degree \\
2y\degree + 94\degree= 180\degree \\
2y\degree = 180\degree - 94\degree \\
2y\degree = 86\degree \\\\
y = \frac{86\degree}{2} \\\\
y\degree = 43\degree \\\\
\huge \purple {\boxed {y = 43}} \\\\[/tex]
x° + y° + 47°=180°
x° + 43° + 47°=180°
x ° + 90° = 180°
x ° = 180° - 90°
x° = 90°
x = 90
10/16 reduced to the lowest term?
Think about Digit's game of spinning the spinner.
He wants to know the probability of the following events happening on two separate spins.
A: spinning praline wafer
B: spinning oven-baked apple & lavender calzone
Which formula should Digit use to find the probability?
P(A∩B)=P(A)⋅P(B|A)
P(A∪B)=P(A)+P(B)
P(A∪B)=P(A)+P(B)−P(A∩B)
P(A∩B)=P(A)⋅P(B)
Answer:
Should be P(A∩B)=P(A)⋅P(B)
find the GCF of the
Answer:
6x
Step-by-step explanation:
24 and 30 share a GCF of 6. x^2 and x^2y share a GCF of x as we do not know what the value of y is.
Answer:
6xxxxxxxxxxxxxxxx with one x
WRITE THE POINT -SLOPE FORM OF THE EQUATION OF THE LINE THAT PASSES THROUGH THE POINTS (5,9) AND (-6,10)
Answer:
y-5 = -3(x-9)
Step-by-step explanation:
(9--6)/ (5-10)
(9+6)/ (5-10)
15/-5
-15/5
Slope = -3
y-y1 = m(x - x1)
y-5 = -3(x - 9)
There are 13 left-handed and 21 right-handed spirals on the cacti in the photograph. What is special about these numbers?
A. The value of the 13th term of the pyramidal sequence is 21.
B. They are consecutive terms in the pyramidal sequence.
C. The value of the 13th term of the Fibonacci sequence is 21.
D. They are consecutive terms in the Fibonacci sequence.
THE CORRECT ANSWER IS D!
a bag of mixed nuts contains almonds and hazelnuts there are (6x + 13) nuts in particular bag
Answer:
99=00-41+69=6969
Step-by-step explanation:
A bike costs $520. You have a coupon for 25% off.
Find the discount amount and sale price.
Answer:
Discount: $130
Sale price: $390
Step-by-step explanation:
Discount: 0.25 * $520 = $130
Sale price:
bike cost - discount = sale price
$520 - $130 = $390
Brainliest to right answer
Answer:
the answer is A)no solutions
Dave ran from one corner of a field to the opposite corner , a distance of 100 meters . Then he ran along its length, a distance of 96 meters . How wide is the field
Answer:
28 meters wide
Step-by-step explanation:
This involves using the Pythagorean Theorem.
We know: a (the length)=96, b (the width)=?, c (diagonal distance)=100
a^2+b^2=c^2
96^2+b^2=100^2
9216+b^2=10000
b^2=784
b=28
The field is 28 meters wide
25% of 88 is what number?
Math
Answer: 22
What is 25 percent (calculated percentage %) of number 88? Answer: 22.
Answer:
25% of 88 is 22
88 times .25 because it is a decimal
solve for h h and 26 is −52
Answer:
If you mean h multiplied by 26 is -52 then h is -2
If it is added to 26 then h is -78
If it is subtracted then h is -26
Step-by-step explanation:
answer this please i appreciate it
Answer:
oh I know the answer its r=27
Step-by-step explanation:
I know that it is 27 because 16+24=65 and 65+27 is 180
A random sample of a specific brand of snack bar is tested for calorie count, with the following results:
149 145 140 160 149 153 131 134 153
Assume the population standard deviation is ı = 24 and that the population is approximately normal. Construct a 95% confidence interval for the calorie count of the snack bars.
Answer:
iddiduududjdhdhdjdhdjr
6. Grandma's favorite muffin recipe uses 1 cups of
flour for one batch of 12 muffins. Solve each of the
following problems and determine whether it is
a “how many groups?" or a “how many in one group?"
type of division problem. Give an exact answer to
each problem using a common fraction or
a mixed number.
(a) How many cups of flour are in 1 muffin?
(b) How many muffins does 1 cup of flour make?
(Assume that you can make partial muffins).
(C) If you have 4 cups of flour, then how many
batches of muffins can you make? (Assume
that you can make partial batches).
Answer:
im to hungry now to answer
Step-by-step explanation:
ASAP
3(– 2а - 4) + За
Answer:
3a -12
Step-by-step explanation:
3(– 2а - 4) + За → -6a - 12 + 3a → -3a -12
Zoey invested $230 in an account paying an interest rate of 6.3% compounded daily.
Assuming no deposits or withdrawals are made, how much money, to the nearest
hundred dollars, would be in the account after 12 years?
Answer:
A ≈ $500
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlgebra I
Compounded Interest Rate: A = P(1 + r/n)ⁿˣ
A is final amountP is initial (principle) amountr is raten is number of compoundsx is number of yearsStep-by-step explanation:
Step 1: Define
P = 230
r = 0.063
n = 365
x = 12
Step 2: Solve for A
Substitute: A = 230(1 + 0.063/365)³⁶⁵⁽¹²⁾Divide: A = 230(1 + 0.000173)³⁶⁵⁽¹²⁾Multiply: A = 230(1 + 0.000173)⁴³⁸⁰Add: A = 230(1.00017)⁴³⁸⁰Exponents: A = 230(2.1296)Multiply: A = 489.808