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puteri [66]
2 years ago
7

Q supp r and m q =22 degrees

Mathematics
2 answers:
Gennadij [26K]2 years ago
4 0

Answer:

Option 2 -  \angle R=158^\circ

Step-by-step explanation:

Given : \angle Q supp \angle R and \angle Q=22^\circ

To find : \angle R ?

Solution :

Supp means the supplementary angle.

We know that,

The sum of two supplementary angle is 180°.

i.e. \angle Q+\angle R=180^\circ

Substitute \angle Q=22^\circ,

22+\angle R=180^\circ

\angle R=180-22

\angle R=158

Therefore, \angle R=158^\circ

So, option 2 is correct.

netineya [11]2 years ago
3 0

Answer:

<R = 158

Step-by-step explanation:

Supplementary angles equal 180 degrees.

<Q + <R =180

22 + <R = 180

Subtract 22 from each side

22-22 + <R = 180-22

R = 158

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Please help fill in the blanks
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Answers:

Reason 4: Isosceles triangle

Reason 5: Segment Addition Postulate

Reason 6: Segment Addition Postulate

Reason 7: Substitution

Reason 8: Substitution

Reason 9: Subtraction property of equality

Reason 10: Definition of congruence

Reason 11: Vertical Angles Theorem

Reason 12: Vertical Angles Theorem

Reason 13: ASA (angle side angle) congruence theorem

==================================

Explanations:

Reason 4: Triangle DCE is an isosceles triangle because of statement 1 of the proof table. The congruent base angles lead to congruent opposite sides.

Reason 5 and 6: This is the idea of breaking any segment into smaller pieces. The smaller pieces glue back together to get the larger original segment.

Reasons 7 and 8: Substitution is a math term which means "replacement". So for instance, in line 7 we started with DB = DC + CB (from line 6), then we replaced the "DB" with "DF" (see line 3); and then replaced "DF" with "DE+EF"

Reason 9: In this step, we subtract DE from both sides to have it go away and cancel out

Reason 10: If two lengths are equal, then the segments are congruent

Reason 11 & 12: Two angles are vertical if they are opposite from one another after forming from two lines crossing. Think of an X shape. Vertical angles are congruent.

Reason 13: We have two pairs of congruent angles, and a pair of congruent sides. The sides are between the angles. The order is important. See the attached image below.

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3 years ago
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Answer:

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Step-by-step explanation:

Just like any of these problems, we should start by forming an equation for us to get a reference and plug in. We'll be using x as our variables.

As we have four consecutive integers (and not multiples) we can assume that the integers will be x, x+1, x+2, and x+3.

The sum of the two largest integers we have equals: n+2 + n+3 = 2n+5

and three times the sum of the two smallest = 3(n + n+1) = 6n+3

and the sum of t he two largest subtracted from three times the sum of the two smallest = (6n+3) - (2n+5) = 4n-2

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3 years ago
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