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2 years ago

Beverly drew the line AB shown below. She then constructed line DC which is the perpendicular bisector of AB.

Mathematics

1 answer:

earnstyle [38]2 years ago

5 0

Answer:

Line segments are congruent due to the side-angle-side congruence postulate.

Step-by-step explanation:

DC is the perpendicular bisector of line AB, this mean that DC divides AB at 90 degrees into two equal parts at point E. Hence:

AE = BE

Also DE ≅ DE (reflexive property of congruence)

Also ∠AED = ∠BED = 90° (perpendicular bisector)

We can therefore say that triangle AED and triangle BED are congruent according to the side-angle-side congruence theorem. Therefore line AD = line BD

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Write each sum using summation notation.<br> 1+ 3 + 5 + 7 + ⋯ + 99

PIT_PIT [208]

Answer:

$\Sigma(2n-1) \left \{ {{n=50} \atop {n=1}} \right. \hspace{5} n\in N$

Step-by-step explanation:

First, we need to find the sequence associated to the summation. As you can see the sum only takes odd numbers into account. Hence the sequence it is defined by:

$2n-1$

Where:

$n\in N$

Now, we only need to find the limits of the summation:

Evaluating n=1

$2(1)-1=2-1=1$

Evaluating n=50

$2(50)-1=100-1=99$

Therefore the summation can be written as:

$\Sigma(2n-1) \left \{ {{n=50} \atop {n=1}} \right.$

4 0

3 years ago

Pls help and show workings <br> Due ASAP

tester [92]

Answer: B

Step-by-step explanation:

The equation $y+2=\frac{3}{4} x-8$ is not yet in slope-intercept form( $y=mx+b$ ). Simply subtract 2 from both sides to turn the equation into slope intercept form as $y=\frac{3}{4}x-10$ . For a line to be perpendicular to another, it must have an opposite reciprocal slope. A reciprocal is the fraction reversed, where the numerator is the denominator and vice versa. Thus, 3/4 would become 4/3. The opposite reciprocal of 3/4 would be -4/3.

The slope of the line given is 3/4. Thus, simply plug in the opposite reciprocal of 3/4 for the slope to get: $y=-\frac{4}{3} x+b$ . Then, because the line passes through -12, 1, plug those values in for x and y, respectively.

$1=-\frac{4}{3}*-12+b$

$1=16+b$

$-15=b$

Thus, the equation of the line is $y=-\frac{4}{3} x-15$ , or B.

Hope it helps :D

4 0

3 years ago

madreJ [45]

Answer:

72 pounds of water.

Step-by-step explanation:

60% of 120= 72.

120 x 60% = 72

I hope this answer helps! :D

7 0

3 years ago

NEED HELP I DONT REMEBER DIS

4vir4ik [10]

1 . RTP
2 . NM
3 . x = 7

7 0

3 years ago

Read 2 more answers

I need help finding the missing side length with the answer in radicals in the simplest form.

AlekseyPX

Answer:

Step-by-step explanation:

There’s nothing hard with this

You need to know special right triangles

This is a 30,60, 90 triangle

We automatically know becuase theres. Right angle (90) and a 60 degree angle

now the formula is the smallest side is (n) {I’m using N becuase theres already an X) or in this case, 6

The hypotenuse, the one directly above the 2nd biggest side, or the diagnoal side is 2n or (12). Now we know what X is in this situation which is 12. So that narrows it to 2 answers

Now the side on the bottom of the hypotenuse, the second biggest side is used in the formula N $\sqrt{3}$ . So we know what N is in the beginning, 6 so we just plug that in and well get C. Attached is a photo on q 30, 60, 90 special right triangle

4 0

3 years ago