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Congruence of triangle
grade 7
Answers
5.
since ΔABC = ΔXYZ
x = ∠ACB = 30°
y = 180° - 60° - 30° = 90°
6.
a. ΔABC ≅ ΔADC
b. ΔQRS ≅ ΔTPQ
Related Questions
Which graph represents the solution set of the compound inequality -43x-1 and 2x+43 18?
;+
-10
-5
0
10
-10
-5
0
5
10
-10
10
о
-10
0
5
10
Answers
Answer:
Step-by-step explanation:
YOU CAN DO THIS :)
1. find the area of a semi circle of diameter 14cm
2.find the area of a circle of radius 1cm
3.find the areaof a circular lawn whose diameter is 10cm
Answers
#1
d=14cmr=14/2=7cm[tex]\\ \sf\longmapsto Area=\pi r^2[/tex]
[tex]\\ \sf\longmapsto Area=3.14(7)^2[/tex]
[tex]\\ \sf\longmapsto Area\approx 154cm^2[/tex]
#2
r=1cm[tex]\\ \sf\longmapsto Area=\pi r^2[/tex]
[tex]\\ \sf\longmapsto Area=3.14(1)^2[/tex]
[tex]\\ \sf\longmapsto Area=3.14cm^2[/tex]
#3
d=10cmr=5cm[tex]\\ \sf\longmapsto Area=3.14(5)^2[/tex]
[tex]\\ \sf\longmapsto Area=3.14(25)[/tex]
[tex]\\ \sf\longmapsto Area=78.5cm^2[/tex]
Answer:
1. Diameter of a semicircles =14cm
Radius or semicircle =7cm
*Area if circle =pi radius 2
=22/7 × 7×7cm 2
=154cm 2
But semicircle is half if a circle so,
Area of a semicircle =1/2 ×154cm2
=77cm2
2. Radius of the circle =1cm
Area of the circle=pi radius 2
=3.14×1×1
=3.14cm2
3.Diameter of a circular lawn=10m
Radius of the circular lawn =5m
Area of the circular lawn =pi radius2
=3.14×5m×5m
=78.5m2
Hope this helps:)PLS HELP!!! WILL GIVE BRAINLIEST AND 5 STARS
Answers
Answer:
she had to sy difference of 35 and 16
sum of 10 and 9
sum of 14 and 2
Step-by-step explanation:
Why do the graphs of basic exponential functions all have the point (0,1) in common?
Explain your answer using a few complete sentences.
Answers
Answer:
b/c any real number to the power of zero is one
Step-by-step explanation:
let a be any real number then
a^0=1
RAMP
21.7 ft
8.5 ft
12 ft
20 ft
1. What is the total surface area of the ramp?
Answers
The surface area of the triangular prism ramp is: 1,020 ft².
Surface Area of Triangular PrismSurface area = 1/2(base area × height)
The triangular prism has the following dimensions:
base area = 20 × 12 = 240 ft²
height = 8.5 ft
Plug the values into the formula:
Surface area = 1/2(240 × 8.5)
Surface area = 1/2(2,040)
Surface area = 1,020 ft²
Therefore, the surface area of the triangular prism ramp is: 1,020 ft².
Learn more about triangular prism on:
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Exponent question. image attached
Answers
Step-by-step explanation:
Find a common power for them all, then divide and get your answer
use pascals triangle to expand the binomial (d-3)^6
Answers
Answer:
d^6 - 18d^5 + 135d^4 - 540d^3 + 1215d^2 - 1458d + 729
Step-by-step explanation:
Answer:
The Binomial Theorem Quick Check:
1. [tex]d^6-18d^5+135d^4-540d^3+1215d^2-1458d+729[/tex]
2. [tex]s^5+15s^4v+90s^3v^2+270s^2v^3+405sv^4+243v^5[/tex]
3. [tex]-64b^3[/tex]
100% 3/3
You're Welcome! A brainliest would help me alot.
Draw a net for the prism.Find the surface area.
Answers
Triangle FGH is an equilateral triangle.FH=6x+1,FG=3x+10,and GH=9x-8
Two of the angles in a triangle have measures of 43 degrees and 48 degrees. What type of triangle is this? *
Right
Obtuse
Acute
1. What is the value of x in the above situation?
3. What is the value of GH?
Answers
Answer:
Acute triangle
x = 3
GH = 19
Step-by-step explanation:
what does b=????
27b-9=45b+45
Answers
Answer:
b=-3
Step-by-step explanation:
Which of these is a ratio equivalent to 3/2?
A. 6/4
B. 3/4
C. 5/2
D. 5/2
Answers
Answer:
A
Hope I helped
6 and 4 have a common factor of 2.
This means we need to divide 6 by 2 and 4 by 2. That gives us 3 and 2.
6/4 simplified is 3/2.
A power company calculates a person's monthly bill from the number of
kilowatt-hours (kWh), x, used.
The function b(x) = {
0.15x, x < or equal 200
0.10 (x - 200) + 30, x > 200
determines
the bill.
How much is the bill for a person who uses 300 kWh in a month?
A. $45
B. $40
Ο Ο Ο Ο
C. $60
D. $55
please help
Answers
Answer:
B. 40
Step-by-step explanation:
if x=300, it means x>200, then b(x)=0.1(x-200)+30; ⇔ b(x)=0.1*100+30= 40 [USD].
The bill for a person who uses 300 kWh in a month is $40.
Option B is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
For a person who uses 300 kWh in a month, we need to use the second part of the function:
b(x) = 0.10(x - 200) + 30, x > 200
Substituting x = 300, we get:
b(300) = 0.10(300 - 200) + 30
b(300) = 0.10(100) + 30
b(300) = 10 + 30
b(300) = 40
Therefore,
The bill for a person who uses 300 kWh in a month is $40.
Learn more about functions here:
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A new health drink has 120% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 20mg. How many milligrams of the vitamin are in the drink?
Answers
Evaluate 4(x-3)+5x-x^2 for x = 5
Answers
Answer:
the answer is 8
Step-by-step explanation:
1. plug in 5 where there is an x: 4(5-3)+5(5)-[tex]5^{2}[/tex]
2. solve everything out and cancel: 4(2)+25-25
3. 4(2)=8
Step-by-step explanation:
Given that:
Evaluate 4(x-3)+5x-x^2 for x = 5
⇛4(5-3)+5(5)-5²
⇛4(2) + 25 - 5*5
⇛8 + 25 - 25
⇛8 - 0
⇛8 Ans
Read more:
Similar questions
Evaluate the expression 3 4/5x − 2 1/2 for x = −5.
https://brainly.com/question/13793815?referrer
can any equation in point-slope form also be written in slope-intercept form?
Answers
Answer:
Yes
Step-by-step explanation:
The way the equation is written in point-slope form is:
[tex]y-y1=m(x-x1)[/tex]
The way we write an equation in slope-intercept form is:
[tex]y=mx+b[/tex]
We can change point-slope form to slope-intercept form by first distributing the m and then adding y1 to both sides of the equation. When we do this we will get:
[tex]y=mx-(m*x+y1)[/tex] where [tex](m*x+y1) = b[/tex]
which is now in slope intercept form.
What is 926 - 628 estimated using compatible numbers
Answers
Answer:
298
Step-by-step explanation:
The average electric bill from Duke Energy is $147 with a standard deviation of $32. What is the probability that the bill will be less than $100?
Group of answer choices
93%
10%
7%
17%
Answers
The probability that the bill will be less than $100 is 7%
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\x=raw\ score, \sigma=standard\ deviation, \mu=mean\\\\\\Given\ that\ \sigma=32,\mu=147,hence:\\\\For\ x<100:\\\\z=\frac{100-147}{32}=-1.47[/tex]
From the normal distribution table, P(x < 100) = P(z < -1.47) = 0.0708 = 7.08%
The probability that the bill will be less than $100 is 7%
Find out more at: https://brainly.com/question/15016913
What is the sum of all the values of m that satisfies [tex]4mx^{2} −2m-6=0[/tex]
Answers
Answer:
The sum of the solutions = 1/2
Step-by-step explanation:
4m^2 - 2m - 6 = 0
Factor out 2
2( 2m^2 -m-3) =0
2 ( 2m-3)(m+1) =0
Using the zero product property
2m-3 =0 m+1 =0
2m =3 m=-1
m = 3/2 m=-1
Adding the solutions
3/2 -1
+3/2 -2/2
1/2
9514 1404 393
Answer:
1/2
Step-by-step explanation:
A quadratic equations that has solutions p and q can be factored as ...
(x -p)(x -q) = 0
When this is expanded, it becomes ...
x^2 -(p+q)x +pq = 0
That is, the opposite of the x-coefficient is the sum of the solutions.
__
We can put your quadratic into this form by dividing by the leading coefficient, 4.
(1/4)(4m^2 -2m -6) = 0
m^2 -1/2m -3/2 = 0
The coefficient of the linear term is -1/2. This tells us the sum of the solutions is -(-1/2) = 1/2.
Parin digs a hole at a rate of 5/6 feet every 15 minutes. After digging for 45 minutes, Parin places a bush in the hole that fills exactly 3/4 feet of the hole.
Relative to ground level, what is the elevation of the hole after placing the bush in the hole?
Enter your answer as a simplified mixed number in the box.
Answers
Answer: IMA LET YOU KNOW THIS THAT ITS ACTUALY -3 8/10
Step-by-step explanation:
________|45 ÷ 15=3|__________________________|5/6 AND 3/4: 5 + 3= 8, 6 + 4= 10|If Parin digs a hole at a rate of 5/6 feet every 15 minutes. After digging for 45 minutes, Parin places a bush in the hole that fills exactly 3/4 feet of the hole. Then the elevation of the hole after placing the bush in the hole is [tex]1\frac{3}{4}[/tex]
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Parin digs a hole at a rate of 5/6 feet every 15 minutes.
In 45 minutes, Parin digs a hole of 5/6×45/15
5/6×3
5/2
The total depth of the digging = 5/2
Now, 3/4 feet dig is filled by bush, so the remaining elevation of the depth, = 5/2- 3/4
five by two minus three by four.
5/2-3/4
Take LCM of 2 and 4
(10-3)/4
7/4
the elevation of the hole after placing the bush in the hole is 7/4.
Now we can write in mixed fraction [tex]1\frac{3}{4}[/tex]
Hence elevation of the hole after placing the bush in the hole is [tex]1\frac{3}{4}[/tex]
To learn more on Equation:
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Solve the following system of equations graphically on the set of axes below.
y=x+1
3x+y=−7
(worth 60 points)
Answers
Answer:
(-2, -1)Step-by-step explanation:
Given system:
y = x + 13x + y = − 7Graph each line and find the point of intersection of lines.
Graphical solution is attached.
The solution is (-2, -1)
(-2, -1)
y = x + 1 ... (1)
3x + y = -7 ... (2)
Graph in the picture.
please guys help me qith this i will brainlist u i promise
write the standard form of the given number words
1.three million,eighty-five thousand three
2.one hundred fourteen million,seven hundred twenty-six.
3.seven million ninety-eight thousand
4.eight hundred eighty-two thousand,one hundred eight
5.five hundred million,six thousand,seven hundred nineteen.
Answers
Answer:
1. 3,085,003
2. 114,000,726
3. 7,098,000
4. 882,108
5. 500,006,719
Step-by-step explanation:
Raj had 1/2 gallon of orange juice. He used 8/9 of the juice to make punch. Raj used this expression to find the amount of juice he used to make punch. 1/2 x 8/9
how much orange juice did Raj use to make punch? the fraction need to be in the simplest form.
Answers
Answer:
4/9
Hope i helped
Can someone help? Show work
Answers
Answer:
5[tex]\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{50}[/tex]
[tex]\sqrt{25} = 5^{2}[/tex]•[tex]2[/tex]
[tex]\sqrt{5^{2} }[/tex]×[tex]\sqrt{2}[/tex]
since 5 is squared the square root cancels out
so 5[tex]\sqrt{2}[/tex]
Estimate a 15% tip on a dinner bill of 68.47 by first rounding the bill amount to the nearest ten dollars. please help thanks
Answers
Round to $70
10% Of 70= $7
5% of 70 = $3.50
So, 15% = $10.50
#Help plz
#No spam -_-||
#Quality answer needed
Answers
Hope it helps.
Do comment if you have any query.
Reciprocal of 7 5/8 as fraction
Answers
Hey there!
7 5/8
= 7 * 8 + 5 / 8
= 56 + 5 / 8
= 61 / 8
= 61 ÷ 8
= 7.625
Reciprocal form for fraction is basically the bottom number switched from the top number
Therefore, your answer is: 7 8/5
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
1.) 5x-10=2x-7
2.) 1+x=-5x+25
3.) 8-x=5x+20
4.) -2+2x=6x-6
5.) 3x+2=4x+4
Answers
2.) 1+x=-5x+25 Answer: x=4
3.) 8-x=5x+20 Answer: x=-2
4.) -2+2x=6x-6 Answer: x=1
5.) 3x+2=4x+4 Answer: x=-2
I need help with this please.
1. Which value is the closest to 1/9 • 24/25 (fractions)
a. 0
b. 0.5
c. 1
d. 21/20 (fraction)
Explain your answer:
Answers
The correct answer is 21/20
1/9•24/25=1.06 making 21/20 the closest option because 21/20 is 1.05 :)
Divide: 2 ÷ 1
2
A.2
B.16
C.8
D.4
Answers
Answer:
the answer is 2..............
Answer:
2÷1= 2
Step-by-step explanation:
2X1=2 so 2÷1=2
find the equation of the line shown
Answers
Find the equation of the line shown in the picture.
Answer:
y = x + 6
Answer:
firstly you have to find the slope of the line.
Step-by-step explanation:
for thus, use the number which is on the coordinate system like x and y. the slope is (10-6)/(4-0) =1 so m=1
the equation should be on this form y-y1=m"(x-x1)
then put the value of y and x from equation.
when the x is 4 the y have to be 10
y-10=1*(x-4)
finally the equation is y=x+6
