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3 years ago

Rectangle ABCD is congruent to rectangle HGJK

Mathematics

2 answers:

lidiya [134]3 years ago

7 0

Answer:

The area of rectangle ABCD is 198 square inches.

Step-by-step explanation:

It is given that rectangle ABCD is congruent to rectangle HGJK.

The corresponding parts of congruent figure are congruent.

$AD\cong HK$ (CPCTC)

$AD=HK=18$ (Property of congruent)

In rectangle ABCD the length of the rectangle is 11 inches and width of the rectangle is 18 inches.

The area of a rectangle is

$A=length\times width$

The area of rectangle ABCD is

$A=AB\times AD$

$A=11\times 18$

$A=198$

Therefore the area of rectangle ABCD is 198 square inches.

Alexxx [7]3 years ago

5 0

Answer: 198 in.²

Step-by-step explanation:

If two shapes are congruent they have the same shape and size.

A = L x W

18 x 11 = 198

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Cherie is jogging around a circular track. She

skelet666 [1.2K]

Answer:

Measure of minor angle JOG is $95.5^{\circ}$

Step-by-step explanation:

Consider a circular track of radius 120 yards. Assume that Cherie starts from point J and runs 200 yards up to point G.

$\therefore m JG = 200 yards, JO=120 yards$ .

Now the measure of minor arc is same as measure of central angle. Therefore minor angle is the central angle $\angle JOG = \theta$ .

To calculate the central angle, use the arc length formula as follows.

$Arc\:Length\left(s\right) = r\:\theta$

Where $\theta$ is measured in radian.

Substituting the value,

$200=120\:\theta$

Dividing both side by 120,

$\dfrac{200}{120}=\theta$

Reducing the fraction into lowest form by dividing numerator and denominator by 40.

$\therefore \dfrac{5}{3}=\theta$

Therefore value of central angle is $\angle JOG = \theta=\left(\dfrac{5}{3}\right)^{c}$ , since angle is in radian

Now convert radian into degree by using following formula,

$1^{c}=\left(\dfrac{180}{\pi}\right)^{\circ}$

So multiplying $\theta$ with $\left(\dfrac{180}{\pi}\right)^{\circ}$ to convert it into degree.

$\left(\dfrac{5}{3}\right)^{c}=\left(\dfrac{5}{3}\right) \times \left(\dfrac{180}{\pi}\right)^{\circ}$

Simplifying,

$\therefore \theta = 95.49^{circ}$

So to nearest tenth, $\angle JOG=95.5^{circ}$

8 0

3 years ago

Z - 12 = 6<br> A. 10<br> B. 15<br> C. 18<br> D. 6<br><br> Need help working it out

const2013 [10]

Z-12=6

you take the 12 and add it to both sides making it look like:
z-12+12=6+12
which also looks like
z-0=6+12

z-0 = z

so now you have
z=6+12

6+12 = 18

SO Z=18!!!

your answer is 18

8 0

2 years ago

Read 2 more answers

Plz need help <br> It’s for geometry

Anestetic [448]

Answer:

Angle x = 48

Angle y = 42

Side w = 1.6cm

6 0

3 years ago

What is the expression to find the distance between the points A and T

navik [9.2K]

Answer:

Step-by-step explanation:

The <u>square root </u>of

d=(x2−x1)^2+(y2−y1)^2

A=(2,5) coordinates 1

T=(5,5) coordinates 2

So we put (5-2)^2 plus (5-5)^2

(3)^2+(0)^2

9+0

<h3><u>Brainliest please!</u></h3>

6 0

3 years ago

"if z is a standard normal variable, find the probability. the probability that z lies between 0 and 3.01"

spayn [35]

Probability between z = 0 and z = 3.01 is given by

P(0<z<3.01) = P(z<3.01) - P(z<0)

Reading from the z-table, we have
P(z<0) = 0.5
P(z<3.01) = 0.9987

Hence, P(0<z<3.01) = 0.9987 - 0.5 = 0.4987

5 0

3 years ago