Step-by-step explanation:
It is because of Angle-Angle Similarity.
Angle EDC = Angle CAB [Perpendicular, 90°]
Angle ECD = Angle ACB [Vertically Opposite Angles]
So,
Triangle ADC ~ Triangle BAC
Hope it helps :)
Answer:
Because of AA postulate
Step-by-step explanation:
[tex] In\: \triangle ABC\: \&\:\triangle DEC[/tex]
[tex] \angle CAB \cong \angle CDE[/tex] (Right angles)
[tex] \angle ACB \cong \angle DCE[/tex] (Vertical angles)
[tex] \therefore \triangle ABC \sim \triangle DEC[/tex] (AA postulate)
Help me please :))))))))))
Step-by-step explanation:
[tex]\huge\mathcal\pink{here's \: your \: solution} \\ \\ \cos = base \div hypotenuse \: \\ \\ cos = j \div 8 \sqrt{2} \\ \\ \cos(45) = 1 \div \sqrt{2} \\ \\ j \div 8 \sqrt{2} = 1 \div \sqrt{2} \\ \\ j = 8 \sqrt{2} \div \sqrt{2} \\ \\ j = 8 inches \\ \\ \huge\mathfrak\purple{hope \: it \: helps..}[/tex]
Chords AB and CD intersect as sho below. Find the length of CD. Please answer with work, and please, no links.
Answer:
39
Step-by-step explanation:
The chords are equal to eachother. First multiply their divided lengths together:
9(3x-9)=21(x+1)
27x-81=21x+21
x=17
CD= 21+x+1
21+17+1=39
CD= 39
Chords AB and CD intersect as shown in the given figure. The chords are equal to each other. The length of CD is 17.
What is the relation between the line perpendicular to the chord from the center of the circle?If the considered circle has center O and chord AB, then if there is perpendicular from O to AB at point C, then that point C is bisecting(dividing into two equal parts) the line segment AB.
Or
|AC| = |CB|
Chords AB and CD intersect as shown below.
The chords are equal to each other.
Therefore,
[tex]9(3x-9)=21(x+1)\\27x - 81 = 21x + 21\\\\27x - 21x= 81 + 21\\\\x= 17[/tex]
CD = 21 + x + 1
21 + 17 + 1 = 39
CD = 39
Learn more about the chord of a circle here:
https://brainly.com/question/27455535
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In May 2019 the average price of a liter of milk in France was 1.09 euros. Given that a liter is equivalent to 0.264172 US gallons, and that the exchange rate at that time was $1 equals 0.89 euros, find the equivalent of US dollar price for a gallon of French milk.
9514 1404 393
Answer:
$4.64/gal
Step-by-step explanation:
€1.09/(1 L) × $1/(€0.89) × (1 L)/(0.264172 gal) ≈ $4.64/gal
__
To convert units, multiply by a fraction that has numerator and denominator equal, but with different units. The units you don't want should be placed in the fraction so they cancel the units in the measure you're converting.
Here, we want dollars per gallon. So, we start with the currency value and quantity we're given: euros per liter.
Since euros is in the numerator and we want dollars there, we multiply by a fraction that has dollars in the numerator and euros in the denominator: $1/€0.89.
We have liters in the denominator and we want gallons there. We can cancel the liters unit by putting it in the numerator of our conversion factor: (1 L)/(0.264172 gal).
Multiplying euros per liter by these two conversion factors give us the equivalent in dollars per gallon.
Reuben bought a bike from an online sports store. The bike was shipped to his home in Sterling, Alberta from Provo, Utah. The list price for the bike was $688 US. On the day he ordered the bike, the currency exchange rate was 1 USD = 1.02 CAD. How much did Rueben pay for the bike in Canadian dollars?
Answer:
CAD 708.76
Step-by-step explanation:
Multiply US$688 by the conversion factor 1.02 CAD / US$1:
The result is CAD 708.76
A countries population in 1994 was 184 million. In 1997 it was 190 million. Estimate the population in 2015 using the exponential growth formula. Round your answer to the nearest million.
Note: When solving for k, round to four decimal places
Answer:
230 million
Step-by-step explanation:
I took the application
CAN SOMEONE PLS HELP ME AND NO BOTS PLS I ATTACHED A PIC
Answer:
its 4
because LM equal PN if the S was the center of the circle
someone please help me
Please answer this math question for me
Answer:
A = 60°
Step-by-step explanation:
The total angle is 90°
So, subtract. 90 - 30 = 60°
Have a great day! :)
A rectangular prism has a base which is 8cm by 9cm. The length of the prism is 20cm.
Answer:
1440
Step-by-step explanation:
8x9x20=1440
Extend numeric patterns with constant ratio 1;3;9;27
Calculate the constant ratio
Help me please I can’t do this anymore it’s so hard
Answer:
2
Step-by-step explanation:
Don't really know how to explain it. OmniCalculator is very helpful.
Hope that this helps!
If you can please help thank you
Answer:
d) 2x^2 + 2x -59
Step-by-step explanation:
(x-8)(x+4) + (x-3)(x+9) *multiply each term (...)(...)*
x^2 - 4x - 32 + x^2 + 6x -27 *combine like terms*
2x^2 +2x - 59
This week, Jamyra spent a total of 100 minutes studying. This total was 20 more than four times the amount of
minutes she studied last week. How many minutes did Jamyra spend studying last week?
Answer:
20
Step-by-step explanation:
100-20 = 80
80/4 = 20
The base of a ladder is placed 5 feet away from a 10-foot-high wall, so that
the top of the ladder meets the top of the wall. What is the measure of the
angle formed by the ladder and the ground? Round nearest degree
A
10 ft
63 degrees
O 79 degrees
O 73 degrees
68 degrees
Answer:a i belive not 100% sure
Step-by-step explanation:
Is a straight line an angle? Please respond ASAP! Thanks!
Answer:
a straight line is a angle also called as flat angle
Step-by-step explanation:
No, a straight line is a straight angle and not a reflex angle.
Hope it helps!
Harry owes the bank money. To repay his debt, he paid $150 back to the bank each month. After 10 months, his
remaining debt was $6900.
Answer:
HIS DEBT WAS __
Step-by-step explanation:
his original debt was 8400 as after 10 months of repeatedly paying the bank 150 bucks the total amount came to 1500 bucks and the remaining debt was 6900 so 6900 + 1500 = 8400 bucks
Answer:
Step-by-step explanation:
6900 + 150 * 10 = 8400
8400 / 150 = 56 months = 4 years 8 months
A person invests 6500 dollars in a bank. The bank pays 7% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 20100 dollars?
Answer:
16.2 years
Step-by-step explanation:
Anna divided a sheet of paper into 5 equal sections and colored 3 of the sections blue. What percent of the paper did she color?
Answer:
3/5 or 60%
Step-by-step explanation:
if the paper is split into 5ths and she colors three sections its 3/5
Answer:
3/5 of the paper or 60/100 or 60%
Step-by-step explanation:
Write the slope-intercept form of a linear equation given the slope and y-intercept.
Slope : -4/3
y-intercept: -3
Answer:
y= mx+c (m-slope, c- y intercept)
y= (-4/3) x - 3
or, y= (-4x-9)/3
or, 3y = -4x -9 (you can leave it here)
or, 4x +3y=-9
or, 4x+3y+9 = 0
the last three equations are all valid answers.
please help i’ll give brainliest!!! thanks
Answer:
Lack of order
Step-by-step explanation:
What is the degree of the polynomial :
Answer:
6
Step-by-step explanation:
Answer:
In this expression the highest degree of polynomials = 6 due to because see in the one of terms constains the power of x to be as 4 and y to be as 2 Therefore the highest degree of polynomials in all terms is 4+2 = 6
Hope it helps
how many inches in a mile
Answer:
63360 inches
Hope that helps!
Answer:
1 mile is equal to 63360
Step-by-step explanation:
.
Andy has $123in his checking account. if andy has $7 less than 4 times the amount that rachel has in her account, what is the amount of money in rachels account?
Answer:
Balance in Rachel account = $37.75
Step-by-step explanation:
Given:
Balance in Andy checking account = $123
Balance in Andy checking account = 4[Balance in Rachel account - 7]
Find:
Balance in Rachel account
Computation:
Assume;
Balance in Rachel account = a
So,
Balance in Andy checking account = 4[a - 7]
123 = 4[a - 7]
123 = 4a - 28
4a = 151
a = 37.75
Balance in Rachel account = $37.75
Determine a series of transformations that would map figure T onto figure U.
Answer:
Reflection, translation
Step-by-step explanation:
:)
Charles worked for 12 hours on Wednesday. This was 3 times as long as he worked on Tuesday. How many hours did Charles work on Tuesday?
Ans:12*3=36 the answer is D
Step-by-step explanation
A cone has a height of 18 millimeters and a radius of 17 millimeters. What is it's volume.
Answer:
5447.52 mm.cubed
Step-by-step explanation:
V=πr^2h/3
π·172·18/3 =5447.52
Have a good day :)
What is the value of the expression below when m = 9 and n = 3?
m2 ÷ (n + 6)
Answer:
Step-by-step explanation:
m2 ÷ (n + 6)
Putting values of m = 9 and n = 3 in the equation
(9)^2 ÷ (3 + 6)
81 ÷ 9
= 9
Ms. Medina's math class has 15 students in total. In her class 9 of the students are boys. Which
ratio describes the number of girls to the total number of students?
Answer:
6
Step-by-step explanation:
15 - 9
what is the amount of money whose 25percent is Rs 350
Answer:
Rs 1400
Step-by-step explanation:
Let us take the required number be x. According to question ,
=> 25% of x = Rs 350
=> 25/100 × x = Rs 350
=> x = Rs 350 × 100 / 25
=> x = Rs 1400
• Hence the required answer is Rs 1400.Cameron's family traveled
3/8
of the distance to his aunt’s house on Saturday. They traveled
3/5
of the remaining distance on Sunday. What fraction of the total distance to his aunt’s house was traveled on Sunday?
Answer:
[tex]\frac{3}{8}[/tex]
Step-by-step explanation:
After Saturday, there was [tex]\frac{5}{8}[/tex] of the journey left. [tex]\frac{3}{5}[/tex] of that would be:
[tex]\frac{5}{8}[/tex] * [tex]\frac{3}{5}[/tex] = [tex]\frac{15}{40}[/tex] = [tex]\frac{3}{8}[/tex] of the journey.
Thus, the answer is 3/8