Given:
The statement is: If 2 angles are both right angles then they are congruent.
To find:
The converse of the given statement and then check whether it is true or not.
Solution:
We know that,
Statement: If p, then q.
Converse : If q, then p.
The statement is: If 2 angles are both right angles then they are congruent.
So, the converse of this statement is:
If 2 angles are congruent then both are right angles.
This statement is not true because if 2 angles are congruent then it is not necessary that the angles are right angles.
Therefore, the converse of this statement is not true.
Martina is recording the percentages she earned on each quiz in her math class. Here are her results for the last 7 quizzes.
74, 64, 90, 74, 92, 68, 71
Find the range of the data set.
=___
Answer:
28
Step-by-step explanation:
Subtract highest number from lowest.
92-64 = 28
Find the perimeter.
8.2 in.
2.8 in.
3.4 in.
4.5 in.
7.1 in.
10.8 in.
Enter
Answer:
36.8
Step-by-step explanation:
Perimeter is the addition of each side.
8.2 + 4.5 + 7.1 + 10.8 + 3.4 + 2.8
^ ^
12.7 + 7.1
19.8 + 10.8
30.6 + 3.4
34 + 2.8
36.8
Hope this helped.
Answer:
36.8 in
Step-by-step explanation:
Perimeter is the sum of length of all sides of the figure
Perimeter=8.2+10.8+4.5+7.1+2.8+3.4=36.8
use trigonometry to find the unknown side (round to 1 decimal)
Answer:
a = 7.5
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{15}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2a = 15 ( divide both sides by 2 )
a = 7.5
PLEASE HELP
Simplify by combining like terms.
2/3b - 2 3/4b =??
Step-by-step explanation:
the Anwer is 2-6b(3/4b) / 3b
Answer: -2[tex]\frac{1}{12}[/tex] b or -[tex]\frac{25}{12}[/tex] b
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] b - 2 [tex]\frac{3}{4}[/tex] b
= [tex]\frac{2}{3}[/tex] b - [tex]\frac{11}{4}[/tex] b
= [tex]\frac{8-33}{12}[/tex] b
= -[tex]\frac{25}{12}[/tex] b
= -2[tex]\frac{1}{12}[/tex] b
PLEASE HELP!
Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 10.
Refer the attached image for the answer
HOPE SO IT HELPS YOU
A rectangle with an area of 3990 cm2 is x centimeters wide and (x+4) centimeters long. To the nearest tenth of a centimeter, the width and length are
Answer: width:60.2 cm
Length: 64.2 cm
Step-by-step explanation:
Given
The area of the rectangle is [tex]3990\ cm^2[/tex]
Width of the rectangle is [tex]x\ cm[/tex]
Length of the rectangle is [tex]x+4\ cm[/tex]
Area of the rectangle is the product of length and width
[tex]\therefore 3990=(x+4)x\\\Rightarrow 3990=x^2+4x\\\Rightarrow x^2+4x-3990=0\\\Rightarrow x=60.198\ or\ -65.198\ cm\\\text{Neglecting negative term}\\\Rightarrow x=60.198\approx 60.2\ cm[/tex]
Width of the rectangle is [tex]60.2\ cm[/tex]
Length of the rectangle is [tex]60.2+4=64.2\ cm[/tex]
what is the ratio of the surface area to the volume of a cube with sides length 5
Answer:
6 : 5
Step-by-step explanation:
Volume of a cube = s^3
5^3 = 125
Surface area of a cube = 6s^2
6(5^2) = 6(25) = 150
150 : 125
30 : 25
6 : 5
Please help me solve this quickly! Will give brainliest!
Answer:
y = 5[tex]\sqrt{6}[/tex]
Step-by-step explanation:
JLT forms the special 90-60-30 right triangle and the side length for the given measure follows as 2a-a[tex]\sqrt{3}[/tex]-a
since the side length that sees 90 degrees is 10 then x = 5
according to Euclidian theorem :
y^2 = LK*KI (LK = 15 -x, KI = 15)
y^2 = 10*15
y^2 = 150 find the root for both sides
y = 5[tex]\sqrt{6}[/tex]
What connects a coefficient and a constant
Answer:
The variable
Step-by-step explanation:
pls somebody help me wth this
Answer:
8 puzzles, and 840 pieces
Step-by-step explanation:
420 / 4 = 105
630 / 6 = 105
Option 2 is the correct answer,
Reason
840 / 8 = 105
A. What are the approximate coordinates of the point of intersection of the two
graphs? What does this mean in terms of the two mold populations?
B. The area of mold A is given by the function Ad) = 100 -0.25 .When will this
mold cover 1000 square millimeters? Explain your reasoning.
The two mold populations are equal after 4.5 years and the number of days is 9.2
Calculating the approximate coordinates of intersectionFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have the point of intersection to be
(x, y) = (4.5, 3)
The means that the two mold populations are equal after 4.5 years
Estimating when the moid will cover 1000 sq mlGiven that
A(d) = 100e⁰.²⁵ᵇ
We have
100e⁰.²⁵ᵇ = 1000
Divide by 100
e⁰.²⁵ᵇ = 10
So, we have
0.25d = ln(10)
Evaluate
0.25d = 2.3
Divide
d = 9.2
Hence, the number of days is 9.2
Read more about exponential functions at
https://brainly.com/question/2456547
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100 points please help... i think the answer is 288 pie squared but not sure
What is the surface area of a dome (a half sphere) with a radius of 12 meters?
576 pie meters squared
48 pie meters squared
288 pie meters squared
96 pie meters squared
9514 1404 393
Answer:
(c) 288π m²
Step-by-step explanation:
The area of a sphere is found using the formula ...
A = 4πr²
Then the area of a half-sphere with radius 12 m will be ...
A = (1/2)(4π)(12 m)² = 288π m²
Giving Brainliest for right answers :)
Answer:
∠ DFE = 15°
Step-by-step explanation:
The inscribed angle DFE is half the measure of its intercepted arc, that is
∠ DFE = [tex]\frac{1}{2}[/tex] DE = [tex]\frac{1}{2}[/tex] × 30° = 15°
Answer:
<DFE = 15
Brainliest, please!
Step-by-step explanation:
<DFE is an inscribed angle. An inscribed angle measures half as much as it's opposite arc.
30 x 1/2 = 15
Om had a balance of 546 in his checking account. He made a deposit of $56, and wrote checks for $17 and $30. His bank charged him a $3 service fee. How much
honey does Om have in the account?
Answer:
540
Step-by-step explanation:
546-56=490
490+17+30=537
537+3=540
PLEASE HELPPP
Below is a function. Create an input/output table for the function. Choose 4 different inputs and complete the table.
y=2x-1
Answer:
y x
-1 0
1 1
3 2
5 3
This is a table that follows the above function
find the measure of the indicated angle to the nearest degree
Answer:
28°
Step-by-step explanation:
sin ? = 19/41
? = arcsin (19/41)
? = 28° (rounded to the nearest degree)
Answered by GAUTHMATH
2 1/2 + 3 1/4 = ? pls
Answer:
5 [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
2 [tex]\frac{1}{2}[/tex] + 3 [tex]\frac{1}{4}[/tex]
= (2 + 3) + [tex]\frac{1}{2} + \frac{1}{4}[/tex] Here we add the two whole numbers first
= 5 + [tex]\frac{1}{2} + \frac{1}{4}[/tex]
= 5 + [tex]\frac{2}{4} +\frac{1}{4}[/tex] Here you bring the two fractions to a common denominator and to to this you find the highest common factor of the denominators.
= 5 + [tex]\frac{3}{4}[/tex] Here we added 1/4 and 2/4
= 5 [tex]\frac{3}{4}[/tex] This is the answer simply add 5 and 3/4
HOPE THIS HELPED
Answer:
Step-by-step explanation:
Your answer is 5 3/4
Help me solve this pls
Answer:
BC=40.16479
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 17 = BC / 42
42 cos 17 = BC
BC=40.16479
I need this quick please
Answer:
Note the same measures marked in the picture.(8)
EF = EG = 3(9)
AG = AE + EG = EB + EG = 8 + 3 = 11(10)
AD =FA - DF = FA - EG = 7 - 3 = 4(11)
m∠EFG = m∠EGF = 28(12)
DF = EF = 3Convert 2 5/8 to a decimal
Answer:
2.625
Step-by-step explanation:
First convert mixed fraction to improper fraction,
=> 21/8
Then by normal division you will get,
=> 2.625
Rosemary and Darwin are discussing how to find the value of
-28 + 45. Rosemary says the value of -28 + 45 = -73. Darwin
says the value of -28 + 45 = 17.
Who is correct, and why?
Answer:
Darwin
Step-by-step explanation:
-28+45=17 because 45-28=17. To prove, do the math!
Mary wants to get spray foam insulation in her attic space. Shown here is a diagram of her attic - how much spray foam does she need to buy
Answer:
455
Step-by-step explanation:
(1/2(10)(70))13
Mary needs to buy [tex]455~m^3[/tex] spray foam.
The correct answer is an option (B)
What is the volume of the triangular prism?"Volume = base area × length,
where, Base area = area of triangle
Length = length(or height) of the triangular prism"
For given question,
Mary wants to get spray foam insulation in her attic space.
To find the amount of spray foam she needs to buy, we need to find the volume of the given triangular prism.
First we find the base area of the given triangular prism.
For a triangular base,
base = 7 m and height = 10 m
Using the formula of the area of the triangle,
[tex]A=\frac{1}{2}\times 7\times 10\\\\ A=7\times 5\\\\A=35~sq.m.[/tex]
Now, we find the volume of the triangular prism.
[tex]V=A\times l\\\\V=35\times 13\\\\V=455~m^3[/tex]
Therefore, she needs to buy [tex]455~m^3[/tex] spray foam.
The correct answer is an option (B)
Learn more about the volume of triangular prism here:
https://brainly.com/question/17004095
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Find the range of the data set. Round to the nearest tenth.
Range = Highest - Lowest
Range = 23,950 - 6,950
Range = 17,000
Must click thanks and mark brainliest
Answer:
The range is 17000.
Step-by-step explanation:
How you find range is by finding the difference between the maximum and minimum number from the data set.
So, the maximum number is 23950 and minimum is 6950 from the data set.
23950 - 6950 = 17000.
the width of a rectangle is twice as long as the length. if the length is increased by 50% and the width is decreased by 20%, the perimeter becomes 248. find the width and length of the original rectangle.
Answer: 80, 40
Step-by-step explanation: I just made an equation which went something along the lines Of 3.1x=248 , then you get 80, then 40.
[tex]integrate \: ln(x) [/tex]
Answer:
ln(x) = 1/x... It's a basic rule of Calculus.
frank bought 3 action figures 2 board games and 3 toy cars at the toy store . The action figure coast 1.95$ each, the board games coast 5.10$ a piece and the toy cars were 1.00$ if he paid with a twenty dollar bill, how much change should he get back?
Answer:
-5
Step-by-step explanation:
22. Find the area of circle with radius 7cm ( π)
Answer:
Sol:Here
Radius (R) =7cm
Area of circle (A) =pie*r^2
=22/7*7^2
=3.14*7^2
=3.14*49
=153.86
Answer:
A=49πcm²Step-by-step explanation:
A=πr²
Given r=7,A=π(7²)=49πcm²
a two digit number divided by another two digit number,we get 3.675 what are the numbers?
Answer:
Step-by-step explanation:
I can't get the exact answer you've given, but I can tell you some things about it. The largest number in the denominator is 30 or 31. That's because 31 * 3 is 93 exactly. However the fraction is a problem and will likely push you over 100.
3.675 * 31 = 113 something. So 31 is too big.
The closes I came was 98 / 26 which is 3.769
The dimension of a rectangle are given in base 2.The width is 10 base 2 cm and the length 11 base 2 cm.Find the perimeter
Answer:
2l+2w
2 (11) +2 (10)
22+20
42
2+ (-3)^2 - (-1)
please explain! :3
Answer:
12
Step-by-step explanation:
Hello!
First of all you have to understand the order of operations.
PEMDAS
Parenthesis, Exponent, Multiplication/Divison, Addition, Subtraction.
From this you can see that we first have to deal with the exponent, then multiplication, then the addition.
So we get 2+9-(-1)
The 9 is from -3^2
2+9+1
11+1
12.
Hope this helps!
