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love history [14]
2 years ago
15

Need help anyone please

Mathematics
1 answer:
Lorico [155]2 years ago
3 0

Whenever <u>two</u> or <u>more</u> lines <em>intersect </em>at a point, an <em>angle</em> is usually produced. And some of these angles formed may have <u>common </u>properties, and thus be <em>congruent</em>.

The appropriate reasons for the given <u>statements</u> in the question are given below:

         STATEMENT                                          REASON

1. <1 ≅ <2                                                <u>Vertical</u> <em>Angle</em> theorem

2. <1 and <2 are complementary            

   <2 and <3 are complementary        <em>Congruent Complements</em> Theorem

3. <1 and <2 are supplementary              

   <2 and <3  are supplementary        <u>Congruent</u> Supplements

4. <1 and <2 are right angles               All<em> Right Angles</em> are Congruent

5. <1 ≅ <2,

   <1 and <2    are supplementary         If two angles are <u>congruent</u> and

                                                               <u>supplementary</u>, then each angle is

                                                               a <em>right angle</em>.

For more clarifications on the properties of complementary and supplementary angles, visit: brainly.com/question/14941189

#SPJ1

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Jensen wants to hang a mirror in his boat and put a frame around it. The mirror and frame must have an area of 19.75 square feet
Ber [7]
The third choice, 4x²+18x+0.25=0, is correct.

The frame will have the same thickness on both sides of the mirror.  Therefore we add 5+x+x to get the total length, and we have 4+x+x to get the total width. 

The area is found by multiplying the total width and total length:

A=(5+x+x)(4+x+x)
A=(5+2x)(4+2x)

Multiplying the binomials, we have:
A=5*4+5*2x+2x*4+2x*2x
A=20+10x+8x+4x²
A=20+18x+4x²

We know that the area is 19.75:
19.75=20+18x+4x²

We need quadratics set equal to 0, so subtract 19.75 from each side:
19.75-19.75 = 20+18x+4x²-19.75
0=0.25+18x+4x²


In standard form, it will be:
4x²+18x+0.25=0
6 0
4 years ago
Simplify ¾(8w+28)-10+w please :)
Zigmanuir [339]

Answer:

7w+11

Step-by-step explanation:

GEMDAS

7 0
3 years ago
Ricardo throws a stone off a bridge into a river below. The stone's height (in meters above the water), xxx seconds after Ricard
Dominik [7]
For this case we have the following function:
 <span>w (x) = - 5 (x-8) (x + 4)
 </span><span>Rewriting we have:
 </span><span>w (x) = - 5 (x ^ 2 + 4x - 8x - 32)
 </span><span>w (x) = - 5x ^ 2 - 20x + 40x + 160
 </span><span>w (x) = - 5x ^ 2 + 20x + 160
 </span><span>Then, deriving we have:
 </span><span>w '(x) = - 10x + 20
 </span><span>We equal zero and clear x:
 </span><span>0 = -10x + 20
 </span><span>10x = 20
 </span><span>x = 20/10
 </span><span>x = 2 seconds
 </span><span>Substituting values:
 </span><span>w (2) = - 5 (2-8) (2 + 4)
 </span><span>w (2) = - 5 (-6) (6)
 </span><span>w (2) = 180 meters
 </span>Answer:
 
The maximum height that the stone will reach is:
 
w (2) = 180 meters
7 0
3 years ago
What is 4/15 equivalent to
max2010maxim [7]

Answer:

.2666667 or 26.66667%

Step-by-step explanation:

4/15 cant be simplified further. the denominator is divisible by 5 or 3, while the numerator is only divisible by 2. You can't make it smaller.

8 0
3 years ago
What is  0.176 as a fraction in simplest form
RUDIKE [14]
It would be 22/125. 

You'd convert the fraction by placing the decimal number over a power of 10. 
7 0
3 years ago
Read 2 more answers
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