Answer:
a) ∠ADB is 55°
b) ∠ABD is 45°
Step-by-step explanation:
a) In the cyclic quadrilateral ABCD, we have;
Segment AB = Segment BC
∠ABC = 70°
Therefore, ∠ADC = 180° - 70° = 110° (Opposite angles are supplementary)
∠ADC + ∠CDP = 180° (Sum of angles on a straight line)
∴ ∠CDP = 180° - ∠ADC
∠CDP = 180° - 110° = 70°
∠DCP = 180° - 70° - 30° = 80°, (Angle sum property)
Similar to ∠DCP = ∠DAB = 80° (Exterior angle of a cyclic quadrilateral)
∠CAB = ∠ACB = (180° - 70°)/2 = 55° (Base angles of isosceles triangle ΔABC)
∠ADB = ∠ACB = 55° (Inscribed angle of a circle subtended by the same chord)
∠ADB = 55°
b) ∠ABD = 180° - ∠DAB - ∠ADB
∴ ∠ABD = 180° - 55° - 80° = 45°
∠ABD = 45°
HELP ME SOMEONE PLEASE!!!!!!!!!!!
Answer:
The probability that they will both break down would be 8%
Step-by-step explanation:
I believe it is 8% (sorry if its wrong) because tractor 1 is 3% and tractor 2 is 5% add them together and that is where you get 8%
YALL I NEED HELP ASAP!!!!! ITS BASIC MATH!!
So i have to multiply and cast out 9s and I know i have the right answer but the casting out 9s part its not falling into place so pls helpppppp
948 x 789 = 747,972
pls help ill brainliest, thnxs, and 5 star rate!!!!! pls
Answer:
Step-by-step explanation:
948 x 789 = 747,972
a same side interior angles pf two parallel lines is three times the other same side interior angle. find the measures of these two angles
Answer:
45 and 135
Step-by-step explanation:
Same Side Interior Angles = 180
x + 3x = 180
4x = 180
x = 45
3x = 135
Answer:
Angle 1 = 45 degrees
Angle 2 = 135 degrees
Step-by-step explanation:
All same side exterior angles are supplementary so if one is three times the other which means a ratio of 3:1.
180/4 = 45
First angle = 45 degrees
Second angle = 135 degrees
Can someone help me solve this problem please
Thankyouuuu
Answer:
in picture
Step-by-step explanation:
Brainliest please
Answer:
this is the best way for the question
Answer quickly please <33333
The side length of square A is shorter than the side length of square B by 5 inches. The perimeter of square A is 100 inches. What is the difference, in square inches, between the area of square A and the square area of B?
A)10
B) 25
C)125
D)175
please help me please help me
Answer:
the answer is 1
Step-by-step explanation:
(√4 / √6) + (√6 / √4)
(2 / 2√3) + (2√3 / 2)
√3 / √3
= 1
Find DE. A.4 B.5/3 C.7 D.11
Answer:
DE = 11
Step-by-step explanation:
DE = x + 7
EF = 7
DF = 4x + 2
DF = DE + EF (segment addition postulate)
Substitute
4x + 2 = x + 7 + 7
4x + 2 = x + 14
Collect like terms
4x - x = -2 + 14
3x = 12
Divide both sides by 3
x = 12/3
x = 4
✔️DE = x + 7
Plug in the value of x
DE = 4 + 7
DE = 11
Plss answer the bottom question
Answer:
200
Step-by-step explanation:
250/100=2.5
2.5*80=200
So the answer is 200
Can someone please help me. If you do thanks
Answer:
(B)
Step-by-step explanation:
Can't explain lol, but that's the answer
Can someone help me with this
Answer:
Step-by-step explanation:
The cost of having a window fixed is $175 plus $30 per hour of labor. Using h for the number of hours of labor, write an expression that represents the total cost.
Answer:
175 + 30h
Step-by-step explanation:
Hope this helps
Answer:
total cost = 175+30h
Step-by-step explanation:
Total cost = fixed cost + cost per hour * hours
total cost = 175+30h where h is the number of hours
Consider the graph of f(x) = 5x + 1. Explain how to find the average rate of change between x = 0 and x = 4.
What is the average rate of change?
Answer:
5
Step-by-step explanation:
You divide the change in the output value by the change in the input value.
Input: 0 | 4
Output: 1 | 21
20/4= 5
How many black berry trees were sampled to create this graph
Answer:
C. 31 trees
Step-by-step explanation:
Add up all the frequencies: 3+3+8+10+5+2=31
Hope this helps!!!
Answer:
It's C. 31 trees
Step-by-step explanation:
That's about all I can say
Which of the following biconditional statements is true?
Answer:
The answer is A :)
Step-by-step explanation:
Answer:
A whole number is even if and only if it is evenly divisible by 2
Step-by-step explanation:
BRAINLY
JannetPalos
Ambitious
808 answers
526.6K people helped
Answer:
A whole number is even if and only if it is evenly divisible by 2
Step-by-step explanation:
1. The first statement is false because product of two negative integers is positive.
Ex:
(- 2) × (- 3) = 6
2. The second statement is false because there are whole numbers which are divisible by 2 but not divisible by 4.
Ex:
6 is divisible by 2 but not divisible by 4
3. The fourth statement is false because if a whole number is divisible by 2, then, by definition, it must be an even number.
Ex:
6 is divisible by 2 and hence it is an even number
4. The third statement is true because if a whole number is divisible by 2, then, by definition, it must be an even number.
Ex:
6 is divisible by 2 and hence it is an even number
What type of health screening would this patient most likely receive?
Sue is a 45-year-old woman with a family history of breast cancer. Her healthcare professional will most likely recommend that she receive a
Answer:
she would need annual breast cancer screening with mammograms.
Step-by-step explanation:
hope this helps! hope you have a nice day.
A salesman receives a salary of 250 a month. To this is added 5/4% of the sales that he makes. what is his pay for a month in which he makes 1500 in sales.
Answer: $268.75
Step-by-step explanation:
First, find the amount he earned from his sales:
5/4% = 1.25% =0.01251500(0.0125) = $18.75
Next, add that to his monthly salary:
$250 + $18.75 = $268.75
Dan buys a car for £2100.
It depreciates at a rate of 2.2% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate.
Answer:
£1837.5
Step-by-step explanation:
Given data
Cost of car P= £2100.
Rate r= 2.2%
Time t= 6 years
Now we want to find the worth after 6 years, let us apply the compound interest expression but this time for depreciation
A= P(1-r)^t
Substitute
A= 2100(1-0.022)^6
A= 2100*(0.978)^6
A= 2100*0.875
A= £1837.5
Hence the amount of the car after 6 years is £1837.5
What calculation will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters?
Answer:
The complete question can be found online.
The missing information is:
Carson drove a total distance of 120km, he initially has 30L of fuel on his tank, and his car efficiency is 100 cm^3/km
Remember that 1000cm^3 = 1 L
then:
100cm^3 = 0.1L
This means that he uses 0.1 L per kilometer.
The equation that shows how many liters of fuel he will have is:
initial fuel - consumed fuel.
We know that the initial fuel is 30 liters.
And the consumed fuel will be the amount of fuel he used to drive the 120 km
Remember that for each km, he consumes 0.1 L of fuel.
Then for the 120km he used 120 times 0.1 L of fuel, so he used a total of:
120*0.1 = 12 L of fuel
Then the remaining fuel in the tank is:
30 L - 12 L = 18L
There are 18 L of fuel in the tank.
Answer:
Should be 30-100/1000*120
Step-by-step explanation:
Roger has 50 ounces of water. If he drinks 30% of it, how
much water will he have left?
Answer:
35 ounces
Step-by-step explanation:
If Roger drinks 30% of the water, that means there will be 70% of it left. We can turn percentages into decimals by dividing them by 100. If we multiply 50 by 0.7, we get 35 ounces.
Solve for h. Make sure to use scrap paper to show your work.
( 136 + 6 x 8 ) ÷ 2 = g
Answer:
92
Step-by-step explanation:
6 x 8 = 48
48 + 136 = 184
184 / 2 = 92
Can someone help me with this math homework please!
Answer:
1: the number of years since 2008 2. t is greater than or equal to 0 3. negative values 4. continuous
Step-by-step explanation:
1. t usually represents time
2. t must be greater than 0 as you can not go backward in time
3. the range must be positive as you can not have negative bobcats
4. its continuous because its a quadratic equation
1. no. of bobcats since 2008
2. greater than equal to 0
3 negative values
4. discrete because no. of bobcats cannot be broken into fraction.
Find the x and y intercept for the equation:
5 + 4 = 20 (show your work pls) serious answers only
Answer:
x = (4,0)
y = (0,5)
Step-by-step explanation:
5x + 4y = 20
5(0) + 4y = 20
(4y ÷ 4) = (20 ÷ 4)
y = 5
5x + 4(0) = 20
(5x ÷ 5) = (20 ÷ 5)
x = 4
x = (4,0)
y = (0,5)
How do angles inside a polygon affect the sides of the polygon?
Hello,
Let 's n the number of sides,
R the radius of the circonscrit circle,
c the side of the polygon (c like côté)
Angle in the center is 360/n and its half is 180/n
(c/2)/R=sin(180/n)
Inside angles are (180-360/n)/2 = 90-180/n (°)
two parallel lines are crossed by a transversal.
Answer:
[tex]{ \boxed{ \tt{m \angle1 = m \angle5}}} \\ { \tt{m \angle1 = 180 \degree - m \angle6}} \\ { \tt{m \angle1 = 180 \degree - 123.5 \degree}} \\ { \bf{m \angle1 = 56.5 \degree}}[/tex]
When a pair of parallel lines is intersected by a transversal, then
Corresponding angles are equal.
∠2 and ∠6 are corresponding angles.
So, m∠2 = m∠6
=> m∠2 = 123.5°
We know that linear pair of angles are supplementary (180°).
∠1 and ∠2 are linear pair of angles.
So, m∠1 + m∠2 = 180°
=> m∠1 + 123.5° = 180°
=> m∠1 = 180° - 123.5°
=> m∠1 = 56.5°
What is essential to remember when simplifying a cube root compared to a square
root?
Answer:
The cube root of a number x is the length of the side of a cube whose volume is x cubic units.
The square root of a number x is the length of the side of a square whose area is x square units.
Hence the words ‘cube’ and ‘square’.
Mathematicians have then generalized these two concepts for when x is not necessarily a volume of a cube or an area of a square
Does anyone know the answer to this question?
Last month, a factory produced 880 television sets. This month, the same factory produced 1,210 television sets. The increase in production from last month to this month is
Answer:
330 television set
Step-by-step explanation:
Last month production = 880 television sets
This month production = 1,210 television sets
The increase in production from last month to this month = This month production - Last month production
= 1,210 - 880
= 330
The increase in production from last month to this month = 330 television set
As per linear equation, the increase in production of television of the factory is 330.
What is a linear equation?A linear equation is an equation where the variable has the highest power of 1.
Given, a factory produced 880 television sets last month.
This month, the same factory produced 1,210 television sets.
Therefore, the increase in production of television of the factory is
[tex]= (1210-880)\\= 330[/tex]
Learn more about a linear equation here: https://brainly.com/question/11203335
#SPJ2
Estimate the value of \frac{\sqrt{2\pi }}{\sqrt{5}}
Answer:
the exact answer is 1.98
if we rationalize denominator we get root 0f 10 times pi divided by 5
root of 10 is about 3.1 ([tex]\pi[/tex]) so we have [tex]\frac{\pi ^{2} }{5}[/tex] ≈ 9.6/5 = 1.92
Step-by-step explanation:
[tex]\frac{\sqrt{2\pi }}{\sqrt{5}} * \frac{\sqrt{5 }}{\sqrt{5}}[/tex] = [tex]\frac{\sqrt{10} \pi }{5}[/tex]
help asap no wrong answers pls
Answer:
- 1.4
Step-by-step explanation:
The average rate of g(x) in the closed interval [ a, b ] is
[tex]\frac{g(b)-g(a)}{b-a}[/tex]
Here [ a, b ] = [ - 4, 1 ] , then
g(b) = g(1) = - 3 ( value of g(t) when t = 1 ]
g(a) = g(- 4) = 4 ( value of g(t) when t = - 4 )
average rate of change = [tex]\frac{-3-4}{1-(-4)}[/tex] = [tex]\frac{-7}{5}[/tex] = - 1.4
Consider the probability distribution shown below. x 0 1 2 P(x) 0.15 0.80 0.05 Compute the expected value of the distribution. (Enter a number.) Compute the standard deviation of the distribution. (Enter a number. Round your answer to four decimal places.)
Answer:
Expected value =0.9
Standard deviation = 0.4359
Step-by-step explanation:
Let's use the formula to find expected value or mean.
Expected value =Σ x *P(x)
x 0 1 2
P(x) ) .15 .8 .05
So, expected value = (0)(0.15) +1(0.8)+2(0.05)
= 0 +0.8 +0.1
=0.9
Expected value =0.9
Now, let's find standard deviation
x [tex](x- E(x))^{2}[/tex] [tex](x-E(x))^{2} *p(x)[/tex]
0 [tex](0-0.9)^{2}[/tex] [tex](0-0.9)^{2} *0.15[/tex] =0.1215
1 [tex](1-0.9)^{2}[/tex] [tex](1-0.9)^{2} *0.8[/tex] =0.008
2 [tex](2-0.9)^{2}[/tex] [tex](2-0.9)^{2} *0.05[/tex] =0.0605
Now, add the last column together and then take square root to find standard deviation.
Standard deviation of the distribution =[tex]\sqrt{0.1215+0.008+0.0605)}[/tex]
Simplify it, so standard deviation =0.4358898...
Round the answer to nearest four decimal places
Standard deviation = 0.4359