Triangle BDC is isosceles
Which angle is congruent to ZBAD?
O ZBCD
ZCAB
D
O 2DBC
O ZACD
Answers
ZCAB angle is congruent to ZBAD
The triangles ΔDAB and CAB are congruent and measure of ∠BAD = measure of ∠CAB
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle be represented as ΔCAB
Let the second triangle be represented as ΔDAB
Now , the measure of BD = measure of BC ( given )
The measure of side AB = measure of side AB ( reflexive property )
And , the measure of ∠BAD = measure of ∠CAB
So , Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
Therefore , the triangles are congruent by SAS theorem
Hence , the triangles are congruent
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Related Questions
56+86/5? what is the anwser
Answers
58=58/1
Clearly denominators of the two rational numbers are positive. Now rewrite them so that they have a common denominator equal to the LCM of the denominators. In this case, the denominators are one and five the LCM of one and five is five the number 58 can be written as.
58= 58/1 =58x5/1x5 =290/5
So 58+ 86/5=290/5+87/5
=290+86/5
=376/5
Final answer 58+86/5=376/5
Solve the following equation for
G:2 (g-h) = b+4
Answers
If the equation 2(g - h) = b + 4 is solved for g. Then the value of g will be b/2 + h + 2.
What is the solution of the equation?A combination of equations solution is a collection of values x, y, z, etc. that enable all of the calculations to true at the same time.
The equation is given below.
2(g - h) = b + 4
Then solve the equation for the value of g. Then we have
2(g - h) = b + 4
g - h = b/2 + 2
g = h + b/2 + 2
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A radioactive compound with mass 470 grams decays at a rate of 3% per hour. Which
equation represents how many grams of the compound will remain after 6 hours?
Submit Answer
O C = 470(0.03)
O C = 470(0.7)
O C = 470(1 + 0.03)
C = 470(1 – 0.03)
Answers
After 6 hours the radioactive compound with mass 470 grams becomes 391.49 grams and the equation will be C is equal to 470(1-0.03)^6.
What is exponential decay?During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.
We know the decay can be as:
[tex]\rm C = a(1-r)^t[/tex]
We have:
a = 470 grams
r = 3% = 0.03
t = 6 hours
[tex]\rm C = 470(1-0.03)^6[/tex]
C = 391.49 grams
Thus, after 6 hours the radioactive compound with mass 470 grams becomes 391.49 grams and the equation will be C is equal to 470(1-0.03)^6.
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The sum of three consecutive numbers is 357.
a.
Use an equation to find the smallest of the three numbers
Answers
Answer: The smallest number is 118.
Step-by-step explanation:
Let's say that the consecutive numbers are x-1, x, x+1
The sum of the three consecutive numbers is 357
(x-1) + x + (x+1) = 357
So, 3x = 357
x = 357 ÷ 3
x = 119
The 3 consecutive numbers are: 118, 119 and 120
The smallest out of the 3 is clearly 118.
Hope this helps!
Express 160° in radian measure
Answers
A cylinder, cone, and sphere are show below. The three figures have the same radius. If the radius is 3, what is each volume?
Answers
Answer:
cylinder = 27π
cone = 9π
sphere = 36π
Step-by-step explanation:
volume of a cylinder = πr²h where r = radius and h = height
height of cylinder (h) = 3 and radius (r) = 3
so volume = π(3)²3
==> simplify exponent
volume = π9(3)
==> multiply 9 and 3
volume of cylinder = 27π
Volume of a cone = πr²(h/3) where r = radius and h = height
height of cone (h) = 3 and radius (r) = 3
so volume = π(3)²(3/3)
==> simplify exponent
volume = π9(3/3)
==> divide 3 by 3
volume = π9(1)
==> multiply 9 and 1
volume of cone = 9π
volume of a sphere = 4/3πr³ where r = radius
radius = 3
so volume = 4/3π(3)³
==> simplify exponent
volume = 4/3π27
==> multiply 4/3 and 27
volume of sphere = 36π
Find the inverse of the function
Answers
Hope this helps!! :)
HELP ASPA PLEASE I will give brainliest
A state uses a combination of three letters (A – Z) followed by three digits (0 – 9) for
their standard vehicle license plates. How many different standard license plates are
possible using a combination of three letters followed by three digits.
Answers
Answer:
2340
Step-by-step explanation:
fundamental counting principle
You purchased a new car for $32,000. The value
of the car decreases by 12% each year. Which
function could be used to model the value of the
car V after years?
a. V(t)=32,000(1+0.12)'
b. V()=32,000(1 -0.12)'
c. V(t)=32,000(0.12)'
d. V(t)=32,000 - 0.12r
Answers
The function that could be used to model the value of the car V after years is V(t) = 32000(1 - 0.12)^t
How to determine the function?The given parameters are:
Initial value, a = 32000
Rate, r = 12% --- depreciation rate
Since the value of the function decreases with time, the equation of the exponential function would be:
V(t) = a(1 - r)^t
So, we have:
V(t) = 32000(1 - 12%)^t
Express as decimal
V(t) = 32000(1 - 0.12)^t
Hence, the function that could be used to model the value of the car V after years is V(t) = 32000(1 - 0.12)^t
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can someone tell me how do I solve this. how is the result 2.40
we still have not learned log in school
Answers
Step-by-step explanation:
Properties used
logₐ a = 1log aᵇ = b log alog ab = log a + log bSee the steps below
- log (4*10⁻³) = - (log 4 + log 10⁻³) = (log 4 ≈ 0.6 rounded)- (0.6 - 3*log 10) = - (0.6 - 3*1) = - (0.6 - 3) = - (- 2.4) = 2.4Giving 16 points, give the right answer because I keep getting different results. Find the value of x
Answers
Answer:
38.7
Step-by-step explanation:
Use cosine
cos = adj / hyp
adj = cos x hyp
adj = cos(49) x 59
adj = 38.7
Hurry and answer this please. Find the volume of the sphere use 3.14 for pi
Answers
Answer:
44.6cm³
Step-by-step explanation:
V=3/4×3.14×2.2³=44.6cm³
Answer:
Option 2) 44.6 cm³ os the correct answer.
Step-by-step explanation:
SOLUTION :
Here we have given that the radius of the sphere is 2.2 cm. We have to find the volume of sphere.
Finding the volume of sphere by substituting all the given values in the formula :
[tex]\quad{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3}\pi{r}^{3}}}}[/tex]
V = volume π = 3.14 r = radius[tex]\quad{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3}\pi{r}^{3}}}}[/tex]
[tex]\quad{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times {(2.2)}^{3}}}}[/tex]
[tex]\quad{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times 10.65}}}[/tex]
[tex]\quad{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{\cancel{3}} \times 3.14 \times \cancel{10.65}}}}[/tex]
[tex]\quad{\longrightarrow{\sf{V_{(Sphere)} = 4 \times 3.14 \times 3.55}}}[/tex]
[tex]\quad{\longrightarrow{\sf{V_{(Sphere)} = 12.56 \times 3.55}}}[/tex]
[tex]\quad{\longrightarrow{\sf{V_{(Sphere)} = 44.58 \: {cm}^{3}}}}[/tex]
[tex]\quad{\longrightarrow{\sf{\underline{\underline{\pink{V_{(Sphere)} \approx 44.6 \: {cm}^{3}}}}}}}[/tex]
Hence, the volume of sphere is 44.6 cm³.
————————————————which has more mass: a solid cylinder of gold with a height of 5 cm and a diameter of 6 cm or a solid cone of platinum with a height of 21 cm and a diameter of 8 cm
Answers
The mass of platinum cone is more than the mass of the gold cylinder which is 7529.76 grams.
What is density?It is defined as the ratio of mass and volume. The density gives an idea of how dense the object is, and it is denoted by the symbol ρ. The unit of the density is kilogram per cubic meter.
The volume for the cylinder = π(6/2)²(5) = 141.37 cubic cm
The density for gold = 19.3 gram/cm³
Mass of gold cylinder = 19.3×141.37 = 2728.44 grams
The volume of the cone = (π(8/2)²×21)/3 = 351.85 cubic cm
The density for platinum = 21.4 gram/cm³
Mass of platinum cone = 21.4×351.85 = 7529.76 grams
Thus, the mass of platinum cone is more than the mass of the gold cylinder which is 7529.76 grams.
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2. 47 in = ? ft ? in
a .3ft 11in
b. 3ft 9in
c. 4ft 0in
564 ft 0 in
Answers
Answer:
a
Step-by-step explanation:
3 feet 11 inches
hope this helps
34) Find the inverse of y = 5x
Answers
Isolate y, so divide both sides by 5
x/5=y
Or
f(x)^-1=x/5
What is the slope of the line that passes through the points (-4,210) and
(-7, -19)?
Answers
Which expressions represent the volume of the composite figure (the shaded figure)? check all that apply. (7)(12)(10) – π(32)(10) one-third(7)(12)(10) – one-thirdπ(32)(10) one-third(7)(12)(10) one-thirdπ(32)(10) 280 – 30π 280 30π 840 – 90π
Answers
Answer:
esf
Step-by-step explanation:
Answer: b and d
Step-by-step explanation: right on edge
find the difference 2/3-2/4
Answers
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
1. You need the same denominator to subtract
2. You can do this by picking the least common multiple of both denominators or multiplying the denominators by each other. In this case, the LCM (least common multiple) and multiply 4*3 or 3*4 is the same thing: 12.
3. But, what you do to the denominator, you do to the numerator:
[tex]\frac{2*4=8}{3*4=12} \\\\\frac{2*3=6}{4*3=12}[/tex] This leaves the fractions as [tex]\frac{8}{12} -\frac{6}{12} =\frac{2}{12}[/tex].
4. When you subtract fractions, you don't subtract the denominator.
5. You can simplify this fraction by dividing the numerator and denominator by 6: [tex]\frac{2/2}{12/2} =\frac{1}{6}[/tex]
simplify the expression
4(5+ -3x) +10
Answers
Answer:
30 - 12x or 6(5 - 2x)
Step-by-step explanation:
Given expression:
4[5 + (-3x)] + 10First, let us simplify the expression inside the parentheses;
⇒ 4[5 + (-3x)] + 10⇒ 4[5 - 3x] + 10Then, let us open the parentheses by simplifying the distributive property;
⇒ 4[5 - 3x] + 10⇒ 20 - 12x + 10Finally, let us simplify the expression by adding 10 to 20.
⇒ 20 - 12x + 10⇒ 30 - 12x[Optional] Factor the expression by putting the expression in parentheses.
⇒ 30 - 12x⇒ (30 - 12x)Since 6 is divisible to all the terms in the expression, we can divide 6 to all the terms in the expression and take "6" outside the parentheses.
⇒ 6(30/6 - 12x/6)⇒ 6(5 - 2x)Therefore, the simplified expression is 30 - 12x or 6(5 - 2x).
Which type of function is shown in the table
below?
Answers
Answer:
Not a function
Step-by-step explanation:
Since 2 different points have the same x-coordinte, the relation is not a function.
Find the area. Answer without units. *
Answers
The area of the composite figure composed of two rectangles is 217 centimetres squared
How to find the area of the composite figure?
The area of the composite figure can be found as follows:
The area of the composite figure can be found by adding up the individual area of each shape in the figure.
Therefore,
area of the figure = area of rectangle + area of rectangle
area of a rectangle = lw
where
l = lengthw = widthTherefore,
area of the figure = (14 × 11) + (7 × 9)
area of the figure = 154 + 63
area of the figure = 217 cm²
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Suppose a rocket is launched from a platform. The function h(t) - 4.96 + 200€ + 25gives the rocket's
height, h, in meters, in terms of time, t, in seconds. The function h(t) is equivalent to -4.9(t- 20. 41) + 2,065.82
Answers
Answer:
See below
Step-by-step explanation:
Opens Downward ( due to the - coefficient of t^2 )
when t = 0 the height is = 25 meters
initial velocity = 200 m/s
Vertex = 20.41, 2065.82
Select the fraction that is equivalent to one fifth. (2 points)
a
1/10
b
2/1
c
2/5
d
3/5
Answers
Answer:
none
Step-by-step explanation:
[tex]one \: fifth = \frac{1}{5} \\ from \: the \: options \: no \: fraction \: is \: equivalent \: to \: one \: fifth \: and \: non \: of \: the \: fracrions \: can \: be \: reduced \: to \: give \: one \: fifth \\ so \: the \: answer \: is \: none[/tex]
the ratio of boys:girls in a class is 4:5
A: what is the fraction of boys in the class
B: what is the fraction of girls in the class
Answers
Answer:
Answer: 4/9 of the class are boys and 5/9 of the class are girls.
Step-by-step explanation:
There are 9 nine students in total in the class since 4 + 5 = 9.
Input the amount of boys and girls there are in the class in the numerator and have 9 as the denominator. 4/9 of the class are boys and 5/9 of the class are girls.
--~Hope this helped~--
My sister and I each brought a bottle of sunblock to the beach.My bottle had 89ml and my sister’s had 147 ml.How much more sunblock did my sister have?
Answers
Answer:
58 more
Step-by-step explanation:
What is the area, in square centimeters, of the trapezoid below?
8.5 cm
7.5 cm
15.7 cm
Answers
Answer:
90.75 cm^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 ( b1+b2) *h
where b1 and b2 are the lengths of the bases and h is the height
A = 1/2(8.5+ 15.7) * 7.5
1/2 (24.2) 7.5
90.75 cm^2
Find the length of the arc of the circle.
Answers
Answer:
25.12 in
Step-by-step explanation:
In the given circle
radius (r) = 12 incentral angle [tex](\theta) = 120\degree[/tex]Formula for length of arc is given as: [tex] l=\frac{\theta}{360\degree}\times 2\pi r[/tex]Plugging the values of r and [tex]\theta[/tex] in the above equation, we find:[tex] l=\frac{120\degree}{360\degree}\times 2(3.14) (12)[/tex][tex]\implies l=\frac{1}{3}\times 2(3.14) (12)[/tex][tex]\implies\huge\red{ l=25.12\:in}[/tex]Review the steps of the proof of the identity
At which step was an error made?
sin (A-3) - COSA.
= A.
step 1
step 2
3п
sin
step 3
step 4
Step 1: = sinAcos
3 п
2
-
COSAsin
n ()
Step 2: = (sinA)(0) + COSA( - 1)
Step 3: = (sinA)(0) + (1) (COSA)
Step 4: = 0 + COSA
Step 5: Cos A
Answers
Answer:
step 2
and then also in step 3 compensating the error in step 2
Step-by-step explanation:
I think I just answered this for another post.
sin(a - b) = sin(a)cos(b) - cos(a)sin(b)
so, step 1 is correct :
sin(A - 3pi/2) = sin(A)cos(3pi/2) - cos(A)sin(3pi/2)
but step 2 suddenly and incorrectly switched that central "-" to a "+".
yes, sin(3pi/2) = -1, but that is still an explicit factor in step 2. so it was not used to flip the central operation from subtraction to addition, and therefore this change was a mistake.
then, in step 3, another error was made by just ignoring the "-" sign of "-1" and still keeping the central "+" operation. this error compensated for the error in step 2 bringing us back by pure chance to the right result.
a cylinder has a diameter or 4 ft and height of 7 ft use 3.14 for pi
Answers
Answer:
87.92ft^3
Step-by-step explanation:
Formula:
V= π*r^2 *h
V=π*2^2*7V=π*4*7V=12.56 *7V=87.92ft^3Are these ratios equivalent?
12 cards to 72 animals, 11 marbles to 66 marbles
Answers
72/12 = 6
66/11 = 6
6 = 6
