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zhannawk [14.2K]
3 years ago
14

Which goes to this inequality x + 1 < 3

Mathematics
1 answer:
Serggg [28]3 years ago
7 0
I got x < 2 for the inequality
Look at the image for more information

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1) 5.4 +(-9.7)<br> Find the sum
harina [27]

Answer:

-4.3

Step-by-step explanation:

5.4 +(-9.7)

= 5.4-9.7

=-4.3

4 0
3 years ago
Read 2 more answers
Fill in the missing statement and reason in the proof of the Alternate Exterior Angles Theorem.
ludmilkaskok [199]

Answer:

∠EGB and ∠AGF are congruent;

Transitive Property of Equality

Step-by-step explanation:

The vertical angles theorem is about the angles that are opposite to each other. These angles are formed when two lines cross each other

Vertical angles are congruent i.e their measures are equal

Look at the attached graph

Given:

AB // CD

E , G , H , F are col-linear

The line which contains points E , G , H , F is a transversal for the parallel lines AB and CD

∵ AB and EF intersected at point G

∴ m∠EGB = m∠AGF ⇒ by the vertical angles theorem

When lines AB and EF intersected at G they formed opposite angles like angles EGB and AGF, then angles EGB and AGF are congruent (  vertical angle theorem)

∵ AB // CD and EF is a transversal

∴ m∠AGF = m∠CHF (corresponding angles theorem)

Transitive Property of Equality:  if one angle is equal to two other angles, then the two other angles are equal

 Therefore, If a = b and b = c, then a = c

∵ m∠EGB = m∠AGF

∵ m∠AGF = m∠CHF

∴ m∠EGB = m∠CHF (transitive property theorem)

 ∠EGB and ∠AGF are congruent; Transitive Property of Equality

4 0
3 years ago
Read 2 more answers
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-6, -4),A(−6
Lelu [443]

Answer:

8

Step-by-step explanation:

8 0
3 years ago
Find the number that we can place in the box, so that the resulting quadratic is the square of a binomial.
Arturiano [62]

We need a number to complete

(x+c)^2=x^2+2xc+c^2

Since we have

2xc=\dfrac{4}{5}x \iff 2c=\dfrac{4}{5}\iff c=\dfrac{4}{10}=\dfrac{2}{5}

And so the expanded square is

\left( x+\dfrac{2}{5}\right)^2=x^2+\dfrac{4}{5}x+\dfrac{4}{25}

6 0
3 years ago
Walter is practicing his high jumps for the track team. His first jump measured 5 feet, 9 inches. His second jump measured 3 fee
tia_tia [17]

Answer: 1.834 ft

Step-by-step explanation:

Given

Walter's first Jump is 5 ft, 9 in.

His second Jump is 3 ft, 11 in.

We know,

1\ ft=12\ in

Converting inches to feet

First Jump in feet

\Rightarrow 5\ ft+\frac{9}{12}\ ft=5.75\ ft

Second jump

\Rightarrow 3\ ft+\frac{11}{12}\ ft=3.916\ ft

The difference in the measurement of two Jumps is

\Rightarrow 5.75-3.916=1.834\ ft

So, Walter first Jump is 1.834 ft higher than the second Jump

3 0
3 years ago
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