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3 years ago

Help me plz!<3 asap

Mathematics

2 answers:

nexus9112 [7]3 years ago

7 0

Answer:

73,58,107,49,131

Step-by-step explanation:

m∠1=73°because alternate interior angles

m∠2= 180-49-73=58° because straight lines make 180° angles

m∠3=58+49=107° because alternate interior angles

m∠4 =49° because alternate interior angles

m∠5=180-49=131° because straight lines make 180° angles

zepelin [54]3 years ago

5 0

Answer shown in the screenshot

I hope they are right!

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1. S(–4, –4), P(4, –2), A(6, 6) and Z(–2, 4) a) Apply the distance formula for each side to determine whether SPAZ is equilatera

Aleksandr [31]

Answer:

a) SPAZ is equilateral.

b) Diagonals SA and PZ are perpendicular to each other.

c) Diagonals SA and PZ bisect each other.

Step-by-step explanation:

At first we form the triangle with the help of a graphing tool and whose result is attached below. It seems to be a paralellogram.

a) If figure is equilateral, then SP = PA = AZ = ZS:

$SP = \sqrt{[4-(-4)]^{2}+[(-2)-(-4)]^{2}}$

$SP \approx 8.246$

$PA = \sqrt{(6-4)^{2}+[6-(-2)]^{2}}$

$PA \approx 8.246$

$AZ =\sqrt{(-2-6)^{2}+(4-6)^{2}}$

$AZ \approx 8.246$

$ZS = \sqrt{[-4-(-2)]^{2}+(-4-4)^{2}}$

$ZS \approx 8.246$

Therefore, SPAZ is equilateral.

b) We use the slope formula to determine the inclination of diagonals SA and PZ:

$m_{SA} = \frac{6-(-4)}{6-(-4)}$

$m_{SA} = 1$

$m_{PZ} = \frac{4-(-2)}{-2-4}$

$m_{PZ} = -1$

Since $m_{SA}\cdot m_{PZ} = -1$ , diagonals SA and PZ are perpendicular to each other.

c) The diagonals bisect each other if and only if both have the same midpoint. Now we proceed to determine the midpoints of each diagonal:

$M_{SA} = \frac{1}{2}\cdot S(x,y) + \frac{1}{2}\cdot A(x,y)$

$M_{SA} = \frac{1}{2}\cdot (-4,-4)+\frac{1}{2}\cdot (6,6)$

$M_{SA} = (-2,-2)+(3,3)$

$M_{SA} = (1,1)$

$M_{PZ} = \frac{1}{2}\cdot P(x,y) + \frac{1}{2}\cdot Z(x,y)$

$M_{PZ} = \frac{1}{2}\cdot (4,-2)+\frac{1}{2}\cdot (-2,4)$

$M_{PZ} = (2,-1)+(-1,2)$

$M_{PZ} = (1,1)$

Then, the diagonals SA and PZ bisect each other.

8 0

2 years ago

Y=x+5;x=3<br> Find the value of y for the given value of x

ioda

Answer:

y=8

Step-by-step explanation:

Y=x+5

Let x =3

y = 3+5

y=8

8 0

3 years ago

Read 2 more answers

Design an instructional activity that could help learners recognise that decimal

sp2606 [1]

Fraction refers to a part of a whole; e.g when cup is not completely filled, it covers only a part of the cup

<h3>What is fraction?</h3>

The term fraction refers to a part of a whole. To design an instructional activity that could help learners recognize that decimal fractions can be applied across environmental situations, we could look at certain things in the house.

For instance, when cup is not completely filled, it contains water that covers only an fraction of the cup. Also, we could boil a part and not a whole cup of rice. These are all examples of fractions.

Learn more about fractions:brainly.com/question/10354322

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2 years ago

What is (4x+1) degrees and 17 degrees show your work simplify.

Alenkasestr [34]

Answer:

Let's simplify step-by-step.

4x+1+17

Combine Like Terms:

=4x+1+17

=(4x)+(1+17)

=4x+18

Answer:

=4x+18

5 0

3 years ago

Determine whether the geometric series 25 − 5 + 1 − 0.2 ... converges or diverges, and identify the sum if it exists.

Arturiano [62]

Answer:

Converges

Sum = 20.8333

Step-by-step explanation:

A geometric series has a general formula of:

$\sum ar^n$

Where 'a' is the initial term, 'n' is the number of terms, and 'r' is the constant ratio. If |r| < 1 than the series converges.

In this particular case, the initial term is a=25, and each term is being divided by -5, or multiplied by -0.2, so the general form would be:

$\sum 25*(-0.2)^n$

Since 0.2 < 1.0, the series converges.

The sum of the series is given by:

$S=\frac{a}{1-r}\\S=\frac{25}{1-(-0.2)}\\S=20.8333$

The sum is 20.8333.

5 0

3 years ago

Help me plz!<3 asap​

Help me plz!<3 asap