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Mkey [24]
4 years ago
5

shannon said that a triangle with exactly 2 congruent sides and an obtuse angle is an equilateral obtuse triangle . describe her

error.
Mathematics
1 answer:
Ludmilka [50]4 years ago
5 0
All equilateral triangles are acute, as all the angles are 60 degrees.
You might be interested in
HOW MANY DIFFERENT COMMITTEES CAN BE FORMED FROM 4 TEACHERS AND 20
Daniel [21]

Answer:

6840

Step-by-step explanation:

multiply combinations

n!/(r!(n − r)!)

n choose r

n (objects) = |n

r (sample) = r

(4 teachers, CHOOSE 2)*(20 students, CHOOSE 3)

C(4,2) times C(20,3) =

C(n,r)=?

C(n,r) = C(4,2)

4! / (2!(4-2)!)

4! /2! x 2!

= 6

C(n,r)=?

C(n,r) = C(20,3)

20! / (3!(20-3)!)

20! /  3! x 17!

= 1140

6 * 1140 = 6840

alegbracom Edwin McCravy

4 0
1 year ago
The sum of three consecutive terms in an arithmetic sequence is 27, and their product is 585. find the three terms.
sammy [17]
\text{the three consecutive terms in an arithmetic sequence}\\a;\ a+d;\ a+2d\\\\\text{system of equals}\\\\ \left\{\begin{array}{ccc}a+a+d+a+2d=27\\a(a+d)(a+2d)=585\end{array}\right\\ \left\{\begin{array}{ccc}3a+3d=27&|:3\\a(a+d)(a+2d)=585\end{array}\right\\ \left\{\begin{array}{ccc}a+d=9&\to d=9-a\\a(a+d)(a+2d)=585\end{array}\right\\
\text{substitute to the second equation}\\\\a(a+9-a)(a+2(9-a))=585\\\\a(9)(a+18-2a)=585\\9a(18-a)=585\ \ \ |:9\\a(18-a)=65\\18a-a^2=65\ \ \ |\text{change the signs}\\a^2-18a=-65\\a^2-2a\cdot9=-65\ \ \ |+9^2\\\underbrace{a^2-2a\cdot9+9^2}_{(a-b)^2=a^2-2ab+b^2}=-65+9^2\\(a-9)^2=16\to a-9\pm\sqrt{16}\\a-9=-4\ \vee\ a-9=4\ \ \ |+9\\a=5\ \vee\ a=13\\\\d=9-5=4\ \vee\ d=9-13=-4
Answer:\ a=5;\ a+d=9; a+2d=13\ vee\ a=13;\ a+d=9;\ a+2d=5

5 0
3 years ago
What is this answer??
kolbaska11 [484]
1.2 * 10^-5 * 1.5 * 10^-4

= 1.2 * 1.5 * 10^-5 * 10^-4

=  1.8 * 10^-9

Its A

8 0
3 years ago
Let g(x) be the reflection of f(x) in the x-axis. What is the function rule for g(x)? Let g(x) be the reflection of f(x) = 3x +
goblinko [34]
Reflection rule in the x-axis:
g(x) = - f(x)

f(x) = 3x+12
g(x) = - f(x) = -3x-12

The correct choice is option (C)
8 0
3 years ago
75 - 3.5y - 4y = 4y + 6 <br> Solve for y please.
Alla [95]

Answer:

6

Step-by-step explanation:

75−3.5y−4y=4y+6

Step 1: Simplify both sides of the equation.

75−3.5y−4y=4y+6

75+−3.5y+−4y=4y+6

(−3.5y+−4y)+(75)=4y+6(Combine Like Terms)

−7.5y+75=4y+6

−7.5y+75=4y+6

Step 2: Subtract 4y from both sides.

−7.5y+75−4y=4y+6−4y

−11.5y+75=6

Step 3: Subtract 75 from both sides.

−11.5y+75−75=6−75

−11.5y=−69

Step 4: Divide both sides by -11.5.

−11.5y

−11.5

=

−69

−11.5

y=6

Hope this helps!

7 0
3 years ago
Read 2 more answers
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