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3 years ago

Given: angle ABD is congruent to angle DBC are complementary

Mathematics

1 answer:

nadya68 [22]3 years ago

5 0

Answer:

∠ABD ≅ ∠DBC - Given.

∠ABD and ∠DBC are complimentary angles - Given.

∠ABD + ∠DBC = 90° - Definition of complimentary angles.

∠ABD + ∠DBC = ∠ABC - Angle addition postulate.

∠ABC = 90° - Substitution property.

∠ABC is a right angle - Definition of a right angle.

~Hope this helps!~

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The sum of two rational numbers is Rational or irrational

Luden [163]

Answer:

The sum of two rational numbers will be rational.

Step-by-step explanation:

Rational numbers are numbers that can be written, are integers, and are not zero. So, any rational number plus another rational number will be rational because their sum will also be an integer, writable, and not a zero.

7 0

3 years ago

Read 2 more answers

Phil and matt make cookies for a fundraiser at their school

Ivahew [28]

The equation would be y=0.45x.

Let x be the number of cookies Matt made. Since Phil made 25% more, and 100%+25%=125%=125/100=1.25, the number of cookies Phil made can be represented by 1.25x.

Together the cookies they made are represented by x+1.25x=2.25x

Since there were 20% of the cookies remaining, this means they sold 100%-20%=80%=80/100=0.8 of the cookies:
0.8(2.25x) = 1.8x

Each cookie sold for 0.25, so we have
0.25(1.8x) = 0.45x

Letting y be the money they make, we have
0.45x=y

3 0

3 years ago

8 - n = -4 what does N equal

Kryger [21]

Answer:

Make N alone

There is an 8 so we subtract 8 from both sides so the equation is still equal

-4 - 8 = -12

Because we are subtracting N it is positive

N = 12

8 - 12 = -4

Hope this helps

Step-by-step explanation:

8 0

4 years ago

Drag each tile to the correct box.

levacccp [35]

Answer:

15 - 7 (Parentheses)
3² (Exponents)
8 × 2 (Multiplication)
40 ÷ 8 (Division)
5 + 9 (Addition starting from the leftmost)
14 + 16 (Addition after the first addition operation)

Concept:

When encountering questions that ask for simplifying expressions through operation, following the PEMDAS method would be easier:

Parentheses
Exponents
Multiplication
Division
Addition
Subtraction

Therefore, the whole process of simplifying the given expression should follow the PEMDAS method. For extra, whenever there are two occurences of the same operation, then prioritize the leftmost and go right.

Hope this helps!! :)

Please let me know if you have any questions or need further explanation

8 0

3 years ago

Find the equation of the line that is perpendicular to line

olganol [36]

Answer:

5x +6y -90 = 0

Step-by-step explanation:

The perpendicular line will have the x- and y-coefficients swapped, and one of them negated. The constant will be chosen so the equation is satisfied at the given point.

5x +6y = 5(6) +6(10) = 90

The equation of the perpendicular line in general form is ...

5x +6y -90 = 0

8 0

2 years ago