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3 years ago

What is the solution to this inequality x-7<1

2 answers:

8 0

X−7<1

Add 7 to both sides.

x−7+7<1+7

x<8

To plot this on a number line, put a circle around 8 and a line going to the left with an arrow at the end.

Rashid [163]3 years ago

6 0

$x - 7 \ \textless \ 1$
$x \ \textless \ 7+1$
$x \ \textless \ 8$

Hope this helps !

Photon

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How many sides do 1980 have

mel-nik [20]

Answer:

13 sides

Step-by-step explanation:

1980 = (n − 2)×180 Formula for number of sides

n − 2 = 1980/180 Divide both sides by 180

n - 2 = 11

+ 2 + 2 Add 2 to both sides

n = 13

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3 years ago

Two consecutive integers have a sum of 77

Fudgin [204]

The two consecutive integers would be 38 and 39. Hope this helps!

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3 years ago

Find the distance between a and b

Jet001 [13]

Answer:

7.74596669241 (maybe)

Step-by-step explanation:

I havent really done this in a while but I started by making the line into a right triangle and counted how many boxes were inside(6 on the bottom 4 on the side). Then I used the Pythagorean theorem (which is the process of taking the sides and making them squares) < To simplify that explanation (I squared the sides(6 and 4).) so now we are left with 6² + 4² = x². next what you do is simplify your terms. (6² = 36, 4² = 24. 36 + 24 = 60) We have 60 = x² but we aren't don't yet, now we have to remove the square from x. and to do that we have to square root 60 and x² ( squared numbers being square rooted just leaves the regular number.) when square rooting 60 you are left with 7.8≈.

I hope this helps you, like i said its been a while since ive done this.

3 0

3 years ago

Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity.

Arturiano [62]

The Pythagorean theorem is one that can be used to determine the third unknown side of a given right-angled triangle. Thus the answers required are:

A pair of similar triangles formed are ΔABD and ΔADC
Segment AD is a perpendicular bisector of segment BC, and also bisects angle A in two equal measures
Segment AD = 3

A right-angled triangle is one which has the measure of one of its internal angles equal to $90^{o}$ . Thus to determine the value of one of its unknown sides, the Pythagoras theorem can be used.

Pythagora theorem states that: for a right-angled triangle,

$/Hypotenus/^{2}$ = $/Adjacent 1/^{2}$ + $/Adjacent 2/^{2}$

Thus from the given question, we have;

Part A: A pair of similar triangles formed are ΔABD and ΔADC.

Part B: In the given triangle, segment AD is a perpendicular bisector of segment BC. Thus segment AD also bisects angle A in two equal measures. So triangle ABC is now divided into two equal pairs i.e ΔABD and ΔADC.

Part C: Given that: If DB = 9 and DC = 4, find the length of segment DA.

Let segment AD be represented by x, so that;

from ΔABC,

$/Hypotenus/^{2}$ = $/Adjacent 1/^{2}$ + $/Adjacent 2/^{2}$

$/13/^{2}$ = $/Adjacent 1/^{2}$ + $/Adjacent 2/^{2}$

Thus the appropriate Pythagorean triple for this question is 5, 12, 13.

So that AB = 12, AC = 5 and BC = 13

Let segment AD be represented by x.

Thus from triangle ADC, applying the Pythagoras theorem we have;

$5^{2}$ = $x^{2}$ + $4^{2}$

25 - 16 = $x^{2}$

$x^{2}$ = 9

x = 3

Therefore, segment AD is 3.

For more clarifications on Pythagoras theorem, visit: brainly.com/question/343682

#SPJ1

Kindly contact a 1-on-1 tutor if more explanations are needed.

6 0

2 years ago

What number line represents the solutions to |x+4|=22?

HACTEHA [7]

Answer:

or, x= 22 - 4

Step-by-step explanation:

or, x = 18

therefore x = 18

7 0

3 years ago