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Elden [556K]
3 years ago
14

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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Write a ratio for the following description: Kaleel made three times as many baskets as John during a basketball practice.
Hoochie [10]

Answer:

3:1

Step-by-step explanation:

If John makes 3, Then Kaleel makes 9,  If John makes 1, Then Kaleel makes 3.

8 0
3 years ago
Use the distributive property to simplify this expression: 0.1(2x+3)
soldi70 [24.7K]

\huge\text{Answer:}

\huge\mathrm{0.2x+0.3}\checkmark

\huge\text{Solution:}

Hi there, hope you are having a great day! :)

<em />\bigstar\star\star\sf{What\:is\:the\:Distributive\:Property?}

The Distributive Property is a property which states that

\longmapsto\sf{a(b+c)=ab+ac

Now, let's apply this property:

\longmapsto\sf{0.1(2x+3)

\longmapsto\sf{0.2x+0.3} (Answer)

Hope you find it helpful.

Feel free to ask if you have any doubts.

\bf{-MistySparkles^**^*

8 0
2 years ago
Solve the equation. Check your solution. - 6y + 5 = 29y - 2​
mr_godi [17]

Answer:

y = 0.2

Step-by-step explanation:

Simplifying

-6y + 5 = 29y + -2

Reorder the terms:

5 + -6y = 29y + -2

Reorder the terms:

5 + -6y = -2 + 29y

Solving

5 + -6y = -2 + 29y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-29y' to each side of the equation.

5 + -6y + -29y = -2 + 29y + -29y

Combine like terms: -6y + -29y = -35y

5 + -35y = -2 + 29y + -29y

Combine like terms: 29y + -29y = 0

5 + -35y = -2 + 0

5 + -35y = -2

Add '-5' to each side of the equation.

5 + -5 + -35y = -2 + -5

Combine like terms: 5 + -5 = 0

0 + -35y = -2 + -5

-35y = -2 + -5

Combine like terms: -2 + -5 = -7

-35y = -7

Divide each side by '-35'.

y = 0.2

Simplifying

y = 0.2

3 0
3 years ago
Read 2 more answers
Ms. Smith has 28 sixth graders and 35 seventh graders for Math. If she wants to break the two grades into identical groups witho
Ghella [55]

Answer:

58

Step-by-step explanation:

5 0
4 years ago
Mode of 68 66 76 66 69
Brums [2.3K]

Answer:

Mode 66

Step-by-step explanation:

The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!

6 0
3 years ago
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