Help i will mark brainliest

Please HELP ME ON THIS MATH WRITTEN RESPONSE QUESTION.. THANK YOU

sergij07 [2.7K]

Answer:

Quadrilateral ABCD is not a square. The product of slopes of its diagonals is not -1.

Step-by-step explanation:

Point A is (-4,6)

Point B is (-12,-12)

Point C is (6,-18)

Point D is (13,-1)

Given that the diagonals of a square are perpendicular to each other;

We know that the product of slopes of two perpendicular lines is -1.

So, slope(m) of AC × slope(m) of BD should be equal to -1.

Slope of AC = (Change in y-axis) ÷ (Change in x-axis) = (-18 - 6) ÷ (6 - -4) = -24/10 = -2.4

Slope of BD = (Change in y-axis) ÷ (Change in x-axis) = (-1 - -12) ÷ (13 - -12) = 11/25 = 0.44

The product of slope of AC and slope of BD = -2.4 × 0.44 = -1.056

Since the product of slope of AC and slope of BD is not -1 hence AC is not perpendicular to BD thus quadrilateral ABCD is not a square.

4 0

3 years ago

Someone, please help me lol I'm small brain

Eddi Din [679]

Answer:

Measure of EF: 1.98

Measure of AB: 6.16

Measure of HI: 12.2

Step-by-step explanation:

Trick I learned that's very helpful when solving these problems: SOH (Sine, Opposite, Hypotenuse)- CAH (Cosine, Adjacent, Hypotenuse)- TOA (Tangent, Opposite, Adjacent)

MEASURE OF EF

you're starting with angle D which is 26 degrees. You have the measure of the Hypotenuse (DF) and you're trying to find the measure of EF (the segment opposite the angle) so you would use Sine

to do the equation, i'm going to use x in place of EF. 0.44 = sin(26)

Formula: sin(angle) = (opposite)/(hypotenuse)

Equation:

0.44 = x/4.5 <----------- multiply by 4.5 to get x by itself

4.5*0.44 = x <---------- 4.5 times 0.44

1.98= x <----------------answer

MEASURE OF AB

trying to find hypotenuse and you already have the adjacent angle so you would use cosine. Using y in place of AB. 0.616 = sin(52)

cos(angle) = (adjacent)/(hypotenuse)

cos(52) = 10/y <------ divide by y

y*0.616 = 10 <------------ divide by 0.616

y = 10/0.616 <----------- next you'll divide 10 by 0.616

y = 6.16 <-----------answer

MEASURE OF HI

trying to find adjacent, already have opposite so you would use tangent. tan(42) = 0.90. using z in place of HI

tan(angle) = (opposite)/(adjacent)

tan(42) = 11/z <------------ multiply z on both sides

z*0.90 = 11 <--------- divide by 0.90 to get z by itself

z = 11/0.90 <-------- divide 11 by 0.90

z = 12.2

4 0

2 years ago

Ok need help this is the question :Use the Pythagorean theorem to write an equation for the distance Jane's trainer bikes.

IRINA_888 [86]

Answer:

<em>Jane traveled 8 miles farther then her trainer</em>

Step-by-step explanation:

<u>The Pythagora's Theorem</u>

In any right triangle, the square of the measure of the hypotenuse is the sum of the squares of the legs. This can be expressed with the formula:

$c^2=a^2+b^2$

Where

c = Hypotenuse or largest side

a,b = Legs or shorter sides

Jane's path from the Health Club to the end of her route describes two sides of a right triangle of lengths a=16 miles and b=12 miles.

Her total distance traveled is 16 + 12 = 28 miles

Her trainer goes directly from the Health Club to meet her through the hypotenuse of the triangle formed in the path.

We can calculate the length of his route as:

$c=\sqrt{16^2+12^2}$

$c=\sqrt{256+144}=\sqrt{400}=20$

c = 20 miles

The difference between their traveled lengths is 28 - 20 = 8 miles

Jane traveled 8 miles farther then her trainer

8 0

3 years ago

The probability that a newborn baby at a certain hospital is male is 50%. Find the probability that 7 or 8 out of 10 babies born

marin [14]

Answer:

0.1611

Step-by-step explanation:

Uaing the binomial probability relation :

p = 0.5 ; q = 1 - p = 0.5

n = 10

Using the relation :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 7) = 10C7 * 0.5^7 * 0.5^3

P(x = 7) = 0.1172

x = 8 ;

P(x = 8) = 10C7 * 0.5^7 * 0.5^3

P(x =8) = 0.0439

P(x = 7 or x = 8) = 0.1172 + 0.0439 = 0.1611

4 0

3 years ago

debra buys a new mountain bike for 750 dollars . Sales tax is 9% . how much does Debra actually have to pay ?

Georgia [21]

Answer:

$817.50

Step-by-step explanation:

Hello Matt7151!

To find the total amount, we will first need to find how much tax.

We can express 9% as the fraction $\frac{9}{100}$ .

$\frac{9}{100}$ × 750 = 67.50

So she's paying $67.50 sales tax.

750.00

67.50

-------------------

817.50

So Debra's really paying $817.50.

Thus, the answer is $\boxed{$817.50}$$ $\boxed{817.50}$ .

5 0

3 years ago