The basic definition states that all the sides of an equilateral traingle is always same.
so equilateral traingle have same side and is justified according to the definition of the equilateral traingle.
Now secondly we have to prove that all angles of an equilateral traingle is same :
in the traingle PQR shown below PQ,QR,PR is the side of the traingle
we have to prove that ∠QPR = ∠PQR = ∠ PRQ.
As we know that all sides length of equilateral traingle are equal.
so PQ=QR=PR
Statement 1:
Angles opposite to equal sides QR and PR are equal so .
=> ∠QPR = ∠PQR
Statement 2:
Angles opposite to equal sides PR and PQ are equal so .
=> ∠PQR = ∠ PRQ.
combining statement 1 and statement 2.
=> ∠QPR = ∠PQR = ∠ PRQ and hence all three angles are same [Proved]
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Osvoldo has a goal of getting at least 30, percent of his grams of carbohydrates each day from whole grains. Today, he ate 220 grams of carbohydrates, and 55 grams were from whole grains.
Answer:
No
He ate only 25% from whole grains
He ate 5% less grams from his goal
Step-by-step explanation:
Osvoldo has a goal of getting at least 30, percent of his grams of carbohydrates each day from whole grains. Today, he ate 220 grams of carbohydrates, and 55 grams were from whole grains.
Did Osvoldo meet his goal? Why? , Osvoldo ate grams of whole grains than his goal.
Percent of whole grains ate = grams of whole grain / total carbohydrates) x 100
(55/220) x 100 = 25%
This is less than his goal of 30% by (30% - 25%) 5%
Answer:
No, Osvoldo 11 grams of whole grains less than his goal.
Step-by-step explanation:
30% x 220
30% = 30/100 = 30 ÷ 100
30 ÷ 100 = 0.3
0.3 x 220 = 66
66 - 51 = 11
Helppp please i need help!!! I was having trouble
What is the reference angle of 255°?
Answer:
255 degrees is in quadrant 3. The reference angle in this case is the negative x axis to 255 degrees, which is 255 - 180 = 75 degrees
Step-by-step explanation:
what is this value? giving thanks and marking brainliest :)
Answer:
x = 23 degress
Step-by-step explanation:
(x + 2) + 65 = 90
x + 2 = 25
x = 23 degress
Chelsea is covering the outside of an old toy box with decorative paper. The box measures 6 inches by 14 inches by 3 inches.
How many square inches of paper is needed to cover the box?
Answer:
She will be needing 300 square inches of paper
length=14inches
breadth=3inches
height=6inches
TSA= 2(lb+lh+bh)
=2(14×3+14×6+3×6)
=2(42+84+24)
=2×150
=300 square inches
Answer:
69,420
Step-by-step explanation:
69,420 sq ft of decorative paper
The New Horizons satellite is currently travelling at a speed of 35,000 mph (miles per hour). How many miles
can it travel in one day?
The circumference of a circle is 46.472 millimeters. What is the circle's radius?
Answer:
r≈7.4
Step-by-step explanation:
C=2πr
Solving forr
r=C
2π=46.47
2·π≈7.39625
Hope this helps! Happy friday!
A large tank holds 5 x 10^7 gallons of oil. How much oil can be stored in 27 tanks?
Write your answer in scientific notation.
Answer:
i dunno do the math
Step-by-step explanation:
Chase has been playing a game where he can create towns and help his empire expand. Each town he has allows him to create 1.13 times as
many villagers. The game gave Chase 4 villagers to start with. Help Chase expand his empire by solving for how many villagers he can create
with 17 towns. Then explain to Chase how to create an equation to predict the number of villagers for any number of towns. Show your work
and use complete sentences. (10 points)
Answer:
about 23 villagers
Step-by-step explanation:
17 x 1.13 =19.21 + 4 =23.21
chase would have to use the equation
(n x 1.13)+4
with n being the number of towns
How does the graph of the function g(x) = 2^x- 3 differ from the graph of f(x) = 2^x?
A. It is moved up 3 unit.
B. It is moved down 3 unit.
c. It is moved right 3 unit
D. It is moved left 3 unit.
The doctor wrote a prescription for 3,110 milliliters of medicine. How many liters of medicine did she prescribe? (1 liter = 1,000 milliliters)
Answer:
3.11 liters
Step-by-step explanation:
converting mL to L requires dividing by 1000, or moving the decimal point 3 places to the left
find the slope of the lines graphed below
Answer:
use formula
slope m =(y2-y1)/(x2-x1)
Step-by-step explanation:
for first one
(x1,y1)=(2,1)
(x2,y2)=(0,-3)
now
slope m =(y2-y1)/(x2-x1)=(-3-1)/(0-2)=-4/-2=2
try other thank you hope it helps
Add fractions with unlike denominators
Answer:
29/12
Step-by-step explanation:
[tex]\frac{7}{4} +\frac{2}{3}[/tex]
7 * 3 / 4 *3 = 21/12
2 * 4 / 3 * 4 = 8/12
[tex]\frac{21}{12} +\frac{8}{12}= \frac{29}{12}[/tex]
Hope this helps!
Answer:
29/12 or 2 and 5/2 as a mixed number
Step-by-step explanation:
Given the exponential decay function
y = 39, 752 * (0.925) ^ t which represents the population of a town after t years, what is the rate of decay written as a percentage?
A. 0.073
B. 0.925
C. 7.5
D. 92.5
HELP ASAP!!!!!!!!! what is the measure of angle x?
Step-by-step explanation:
x + 149° = 180° {Being linear pair }
x = 180° - 149°
x = 31°
Hope it will help :)❤
Answer:
180-149 = 31
that's right
Find the measure of the exterior <1.
A. 35°
B. 95°
C. 85
D. 120°
Answer: the answer is c for me I took the test
Step-by-step explanation:
Took the test
Midory had 0.0085 pounds of chocolate. What is this equation written in scientific notation?
Answer in scientific notation: 8.3x10^-3
M
N
Which statement is true about ZJXM and 2NXP?
O ZJXM and 2NXP are complementary
O ZJXM and XNXP are vertical.
O ZJXM and 2NXP are supplementary
O ZJXM and XNXP are adjacent
i
Answer:
Im late but i was doing the assignment and got A
Step-by-step explanation:
Option A is correct, ∠JXM and ∠NXP are complementary is the true statement.
What are Angles?An angle is formed when two straight lines or rays meet at a common endpoint.
There are three angles on this straight line JP which are ∠JXM, ∠NXP and ∠MXN
It is shown that ∠MXN is a right angle i.e. 90°.
Then, sum of angle on this line is 180°.
∠JXM + ∠NXP + ∠MXN = 180°
∠JXM + ∠NXP + 90° = 180°
∠JXM + ∠NXP = 180° — 90°
∠JXM + ∠NXP = 90°
From the definition of complementary angles : Two Angles are said to Complementary if their sum is 90° (a Right Angle).
Then, since ∠JXM + ∠NXP add up to 90°, it shows that ∠JXM and ∠NXP are complementary
Hence, ∠JXM and ∠NXP are complementary is the true statement.
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I need help on this plz and thank you
Answer:
c.
Step-by-step explanation:
because probability is normally in fraction or decimal
Which of the following describes theoretical probability?
Answer:
Roll of a Die
Step-by-step explanation:
What is equivalent to 9?
A:2^3
B:3^-2
C:2^-3
D:3^2
8y =120 find the solution to the equation
Answer:
15
Step-by-step explanation:
Answer:
y=15
Step-by-step explanation:
8y=120/8
y=15
Dana takes a sheet of paper and cuts from one corner to the opposite corner, making two triangles. If the piece of paper is 8 inches long and 5 inches wide, how long is the diagonal cut that Dana made? If necessary, round to the nearest tenth.
Answer:
9.4 inches
Step-by-step explanation:
The triangle formed is aright angled triangle with the right angle between the length and width of the paper cut hence the diagonal represents the hypotenuse side.
Recall that Pythagoras theorem states that
a^2 + b^2 = c^2 where c is the hypotenuse side and a, b are the opposite and adjacent sides
Hence
8^2 + 5^2 = c^2
c^2 = 64 + 25
= 89
Finding the roots of both sides
c = 9.433981132
To the nearest tenth
c = 9.4 inches
Simplify the expression. Write your answer as a power.
6^7•6^10 divided by 6^4•6^3
Answer:
[tex] {6}^{10} [/tex]
Step-by-step explanation:
[tex] \frac{6^7•6^{10}}{6^4•6^3} \\ \\ = \frac{6^7•6^{10}}{ {6}^{4 + 3} } \\ \\ = \frac{ \cancel{6^7}•6^{10}}{ \cancel{6^7}} \\ \\ = {6}^{10} [/tex]
One factor of f(x)=5x3-5x2-170x+280is(x+7). What are all the roots of the function? Use the Remainder Theorem.
Answer:
Roots of the f(x) is -7 , 4 and 2.
Step-by-step explanation:
Give that
5x^3-5x^2-170x+280 is (x+7)
One factor of f(x) = x + 7
So,
One root , x = -7
First we determine All factors of the given f(x).
Now divide f(x) by given factor the results are given below:
f(x) = ( x + 7 ) ( 5x² - 30x + 40 )
= ( x + 7 ) ( 5x² - 20x - 10x + 40 )
= ( x + 7 ) ( 5x( x - 4 ) - 10( x - 40 ) )
= ( x + 7 ) ( x - 4 ) ( 5x - 10 )
Now
Place x = -7 in the given function,
f(-7) = 5(-7)³ + 5(-7)² - 170(-7) + 280 = -1715 + 245 + 1190 + 280 = 0
So, First root is -7
Now, Place x = 4
f(4) = 5(4)³ + 5(4)² - 170(4) + 280 = 320 + 80 - 680 + 280 = 0
So, Second root is 4
ANd, place x = 10/5 = 2
f(2) = 5(2)³ + 5(2)² - 170(2) + 280 = 40 + 20 - 340 + 280 = 0
So, Third root is 2
Therefore, Roots of the f(x) is -7 , 4 and 2.
in shop a crunchy peanut butter costs $325 for 250g
in shop b crunchy peanut butter costs $408 for 340g
which shop gives better value for money. explain your answer
Answer:
shop b
Step-by-step explanation:
We can find for example how much 100 grams of peanut butter cost in each shop using a proportion
shop A 100 : 250 = x : 325
x = (325 * 100) / 250 = $130
shop B 100 : 340 = x : 408
x = (408 * 100)/ 340 = $120
We discovered that shop B is cheaper
BRAINLY TO WHOEVER CAN HELP- ALSO IF YOU GIVE VIA FILESHARE PLS JUST GIVE ME A VERY BREIF SUMMARY CAUSE I CANT OPEN IT
Answer:
A':2,4
B'4,4
C'2,4
D'2,1.5
Step-by-step explanation:
Just half all the points so in the case of A the original point is 4,8. Dialating by 1/2 is splitting it in half so the new point would be A' 2,4
what are the values of a, b, and c in the quadratic equation -2x² + 4x - 3 =0?
Answer:
x=1
Step-by-step explanation:
I believe that's the answer sorry if I'm wrong
To complete the square for x2 + 8x = -7
you will need to add what number to both sides?
A. -4
B. 12
C. 64
D. 16
I need help please help me
Answer:
1: 11/14 2: 1 5/12 3: 1 1/20 4: 7/10 5: 3/4 6: 1 2/9 7: 1 8: 1/8 9: 3/5 10: 23/24