Answer:
x= 29
Step-by-step explanation:
Since, ∆ABC is congruent to ∆DEF,
AB= DE....(i)
BC= EF....(ii)
AC= DF....(iii)
From (ii), BC= EF,
So, 3x-7 = 20
3x= 20+7= 27
x= 27/3 = 9
Hope it helps you
From the congruent triangles value of x is 9 units.
Given that, ∆ABC≅∆DEF, and AB=15, BC=20, and FE=3x-7.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
Since, ∆ABC is congruent to ∆DEF,
AB= DE --------(I)
BC= EF --------(II)
AC= DF --------(III)
From (II), BC= EF,
So, 3x-7 = 20
3x= 20+7= 27
x= 27/3 = 9 units
Therefore, from the congruent triangles value of x is 9 units.
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The figure below consists of a square and a right triangle. Find the missing length x.
34 cm
16 cm
Х
Answer:
x = 130
Step-by-step explanation:
iA square has 4 equal sides, so the one side connected to the triangle is also 16cm. Triangle's 4 sided added together is 180.
180 = x + 32 + 16
180 = x + 50
180 - 50 = x
x = 130
If there are 365 days in one year then how many days are there in 5 years?
Pls telll....
Which student’s answer most accurately describes the solution to the inequality x less-than negative 3?
Andie’s Solution
-contains only negative rational numbers
-has a lower limit of –3 and no maximum value
Bobby’s Solution
-contains positive and negative rational numbers
-has an upper limit of –3 and no minimum value
Carrie’s Solution
-contains positive and negative rational numbers
-has a lower limit of –3 and no maximum value
Deshawn’s Solution
-contains only negative rational numbers
-has an upper limit of –3 and no minimum value
A. Andie’s
B. Bobby’s
C. Carrie’s
D. Deshawn’s
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
edge 2022 :) I hope helped you edge users and other people who had the same answer I'm sorry if it's not right for you (●'◡'●)
Emma is going to invest in an account paying an interest rate of 6.7% compounded continuously. How much would Emma need to invest, to the nearest hundred dollars, for the value of the account to reach $11,000 in 18 years?
Answer:
$3300 to nearest hundred.
Step-by-step explanation:
Let the amount required be $A then
11000 = Ae^(0.067*18)
A = 11000 / e^(0.067*18)
= 3293
Are vacuoles small or large? PLS HELP I NEED THIS ANSWER FAST!
Answer:
large
Step-by-step explanation:
Which division expression represents paiges speed in miles per minute
Answer:
2/3 divided by 16
Step-by-step explanation:
Answer:
2/3 divided by 16
Step-by-step explanation:
The hypotenuse of a right triangle measures 20 cm and one of its legs measures 12 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
16 cm
Step-by-step explanation:
[tex]12^2+x^2=20^2\\144+x^2=400\\x^2=256\\\sqrt{x^2} =\sqrt{256} \\x=16[/tex]
The measure of the other leg is 16 centimeters.
What is Pythagoras theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
Given:
The hypotenuse of a right triangle measures 20 cm and one of its legs measures 12 cm.
Applying Pythagoras' theorem,
The measure of other leg = √(20)² - (12)²
The measure of other leg = √(400-144)
The measure of other leg = 16 centimeters.
Therefore, the other leg is 16 centimeters.
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James ran 3 kilometers after school. How many meters did James run?
Answer:
3000meters
Step-by-step explanation:
3×1000= 3000
Answer: 3000 Meters
Step-by-step explanation:
There are 1000 meters in a kilometer.
Multiply that by 3 and get 3000
2x + 3 > 13
Whats the answer plz help
Answer:
In this case, you can simply treat the > sign like an = sign. The only time you would need to worry about is when multiplying or dividing by negative numbers.
2x + 3 > 13
2x + 3 - 3 > 13 - 3
2x > 10
2x / 2 > 10 / 2
x > 5
Lebo buys blank writable CDs in bulk. He repackages them and sells them
Individually. He pays R40,00 cash (including VAT) for 50 CDs. He receives a 5%
discount. For how much must he sell each CD to make a 40% profit?
5. Musa buys a new radio for R125,00 excluding VAT. He pays cash and gets a 5
cash discount. How much will he pay in total including VATS
15%100 x 5,00
Answer:
He must sell each CD for R1,10 to make 40% profitStep-by-step explanation:
R40×5%=2
R40-2=R38
40%×38=R15,2
15,2+40=55,2
55,2÷50=R1,10
i didnt do the radio sum...
If a = 8 while b = 6, find a when b = 12. (a varies inversely with b)
Answer:
a will equal 16
Step-by-step explanation:
3/4 divided by 1/3 plz I need it
Answer:
0.25
Step-by-step explanation:
b) Alfie says that all the digits in odd numbers are odd.
Which of the numbers below show that Alfie is not correct?
A: 5634
B: 7931
C: 2977
D: 3130
Answer:
c i think
Step-by-step explanation:
Alex walks from her home to the bus stop at a rate of 40 steps per minute. Write a rule thay gives her from home in steps as a funtion of time after she leaves het home
Answer:
y = 40x
Step-by-step explanation:
Given - Alex walks from her home to the bus stop at a rate of 40 steps per minute.
To find - Write a rule they gives her from home in steps as a function of time after she leaves her home.
Proof -
The function will be a linear function.
The linear function is in the format of y(x) = mx + c
Let x be the total minutes
y be the total steps
So, the rule becomes
y(x) = 40x + 0
⇒y = 40x
As she walks 40 steps in 1 minutes
So, rate of change will be 40 and constant term will be 0.
Which expression is equivalent to 36+18
A: 3(12+6)
B:6(6+18)
C:3(33+6)
D:6(6+2)
Answer:
It A the is right
Step-by-step explanation:
4a − 3 = 9 + a..........................
Answer:
[tex]4a - 3 = 9 + a \\ 4a - a = 9 + 3 \\ 3a = 12 \\ a = \frac{ 12}{3} \\ a = 4[/tex]
I hope this help
What is the answer for the wuesy
Answer:
22
Step-by-step explanation:
6 divided 6 equals 1 and 1 times 22 equals 22
Brainliest ?
Need help with this question
Answer:
1, 1
Step-by-step explanation:
i hope this answer is correct
Answer choices:
X=23
X=63
X=90
Answer:
x = 63
Step-by-step explanation:
x + 2 + 25 = 90
x + 27 = 90
x = 63
I hope that helps.
Answer:
X=63
Step-by-step explanation:
we know its a right angle (90 degree angle).
(63+2)+25
65+25=90
A file folder box is in the shape of a rectangle prism with a length of 12 inches, a width of 9 inches, and a height of 10 inches. It is open at the top. Find the surface area of the file folder box
Answer:
Step-by-step explanation:
A=2(10)12+2(10)9+9(12)
A=240+180+108
A=528 in^2
Triangle ABC is a right-
angled triangle.
ADB is a straight line.
DA = DC
Angle BCD = 20°
Work out the size of the angle
marked x.
You must give reasons for each
stage of your working out
Answer:
x=35°
Step-by-step explanation:
∠A+∠B+∠C=180°(ASP)
In ΔCAD, DC=DA
so, ∠DAC=∠DCA( angles opposite to equal sides are equal)
∠B=90°(given)
So, ∠DCA= 180°-(90+20)= 70°
Since ∠DCA= ∠DAC,
2x= 70°
x=35°
The value of angle A or the value of x is 35°
What is the triangle?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
The angle A will be calculated as:-
∠A+∠B+∠C=180°(ASP)
In ΔCAD, DC=DA
so, ∠DAC=∠DCA( angles opposite to equal sides are equal)
∠B=90°(given)
So, ∠DCA= 180°-(90+20)= 70°
Since ∠DCA= ∠DAC,
2x= 70°
x=35°
Therefore the value of angle A or the value of x is 35°
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Find the missing angle.
helllppppppppp
. One interior angle of a traingle is 45 degrees. The other angles measures are x and y. Which of the following could be the values of x and y? Select all that apply *
3 points
x = 45, y = 90
x = 45, y = 65
x = 60, y = 75
x = 25, y = 110
x = 90, y = 80
Answer:
x = 45, y = 90
x = 60, y = 75
x = 25, y = 110
Step-by-step explanation:
12
Jack burned 150 calories on the elliptical and
210 calories on the treadmill. What is the ratio
of calories burned on the elliptical to calories
burned on the treadmill? Write the ratio on
simplest form.
please help !!
Answer:
5:7
Step-by-step explanation:
150:210
50:70
5:7
(Ratio has been simplified)
Please Help! Brainliest Answer! Thank you
Answer:
Step-by-step explanation:
Since WV || XY, V and Y are same side int. angles
same side int angles add up to 180
V+Y=180
subst -> 60+V=180
V=120
Can anyone give me examples of this songwriting project?
Answer:
First find what to sing about. Next get your rythim. Last get the lyrics together.
Step-by-step explanation:
daom its been so long i was just zoning out and thinkin... why havent they made a dark mode to this smh i be on discord to much my eyes have adjusted
btw who invented the first algebra term?
Answer:
dark mode da best
Step-by-step explanation:
plz help me with my work
Answer:
the answer is B
Step-by-step explanation:
please help
"A power line must be laid to connect two towns, A and B. They are situated on opposite sides of a broad river that is 1 kilometre wide.
Town B is 5 kilometres down the river from a point C, directly across the river from town A, as shown on the diagram ATTACHED.
The cost of installing the power line is estimated at $20 000 per kilometre under water and $10 000 per kilometre on dry land. The proposed budget to install the lines is $64 000."
Where should the powerlines meet the bank of the river to have the lowest cost??
Answer:
hope this helps
Step-by-step explanation:
When a small group of farmers in eastern China looked at their watermelon fields one spring morning in 2011, they had quite a shock. The fields were not full of a bumper crop like that shown in this picture. Instead, the fields were full of shattered watermelons. The melons looked like they had been blown apart.
A row of watermelons in a field.
Field of ripe watermelons
The problem was limited to about 45 acres (18 hectare) of melons near Danyang. Experts concluded a chemical called forchlorfenuron was at fault. This chemical makes fruits and vegetables grow faster and larger than normal. In fact, they can grow 20 percent bigger!
China’s Watermelon Crop
China grows more watermelons than any other country. All parts of the watermelon are used in traditional Chinese medicine. Farmers see benefits in increasing the size of each melon. Bigger melons bring bigger profits. Melons that grow faster also get to market more quickly. As a result, several farmers had treated their watermelon crop. But the melons grew much faster than anyone expected—in fact, so fast that they burst apart.
Scientists who studied the situation stated that several important things went wrong. First, the type of watermelon these farmers grow is fairly thin-skinned. Under the best conditions, it would be more likely than other types of melon to split. Adding the growth stimulant made that result even more likely.
Watermelons are also more likely to split when the amount of water they receive fluctuates. Watermelons are 92 percent water. During drier weather, their skin tightens. If a heavy rain follows, the plant must absorb a lot of water very fast. The result is cracking. In this case, farmers applied the chemical before a period of heavy rain. The pressure from the water plus the growth stimulant caused the melons to burst.
Chemical Use—Good and Bad
Farmers use many chemicals on crops. That is especially true in a country like China where many people make a living as farmers, and where agriculture is an important part of the economy. The chemical used on the watermelons was a growth stimulant. It makes each acre more productive. Farmers also use pesticides. These chemicals kill pests such as insects or rodents that destroy crops. They use other chemicals to control weeds or kill organisms that spread disease.
Much of China’s farmland has been used for a long time. Fertilizers are needed to add nutrients to soil that years of use have pulled out. China’s farmers also raise livestock and poultry under conditions where many animals are crowded together. Antibiotics are widely used to control the spread of disease.
The goal of heavy chemical use is to boost farm productivity. In fact, China is the world’s largest user of agricultural chemicals. It uses 30 percent of the world total on just 9 percent of the world’s farmland. They do help China produce more food. But chemicals can also cause problems—and not just exploding watermelons.
Some chemicals can be harmful to people or the environment. Most of China’s farms are small—fewer than 5 acres (2 hectares). Studies show that small farms are more likely to use chemicals inefficiently. They may use them in way that can be harmful to the environment. Small farms are also less likely to use innovations in technology that reduce the need for chemicals.
Still, China knows the harm these chemicals are doing to the land. It has set a goal of no further growth in the use of these chemicals by 2020. That means farmers will have to cut back on the chemicals they spray onto their crops. And that should also mean no more exploding watermelons.
The letters for the word SCHOOL are placed in a hat. What is the probability of drawing the letter o out of the hat?
Answer: 2/6 or 1/3
Step-by-step explanation:
SCHOOL has 6 letters in it and two O's. Therefore, it would be 2/6 or simplified it would be 1/3.
That was FUN!