My little sister needs some help

Need help! Does anyone know how to do this type of math? (It's geometry)

mart [117]

Answer:

71

Step-by-step explanation:

refer the attachment

to solve the question we need to recall one of the most important theorem of circle known as two tangent theorem which states that tangents which meet at the same point are equal that is being said

FA=AI=17
CH=CG=2.5

since $\rm BA=FA+FB$ and it's given that FA and BA are 17 and 29 FB should be

$\rm 29=17+FB$

therefore,

$FB=29-17=\boxed{12}$

once again by two tangent theorem we acquire:

$FB=BH=\boxed{12}$

As BC=BH+CH,BC is

12+2.5
$\boxed{14.5}$

likewise,AD=AI+DI so,

21=17+DI [AD=21(given) and AI=17 (by the theorem)]

thus,

DI=21-17= $\boxed{4}$

By the theorem we obtain:

DI=DG=4

Similarly,DC=DG+CH therefore,

DC=4+2.5= $\boxed{6.5}$

Now finding the Perimeter of ABCD

$P_{\text{ABCD}}=\text{AB+AD+BC+DC}$

substitute what we have and got

$P_{\text{ABCD}}=\text{29+21+14.5+6.5}$

simplify addition:

$P_{\text{ABCD}}=\boxed{71}$

hence,

the Perimeter of ABCD is 71

4 0

2 years ago

One number is nine more than another number. If the sum of the number is 65, find both numbers

Aleonysh [2.5K]

Answer:

Step-by-step explanation:

x+x+9=65

2x=56

x=28

28,37

4 0

3 years ago

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The length of a rectangle is 4 yd less than three times the width, and the area of the rectangle is 55 ya? Find the dimensions o

inysia [295]

Answer:

length = 11 yard

width = 5 yard

Step-by-step explanation:

Area of a rectangle = L W

where A = 55 yard

L = 3W - 4

find: Length

width

solution:

A = L W

55 = (3W - 4) W

55 = 3W² - 4W

3W² - 4W - 55 = 0

use quadratic equation to solve for W:

W = - (-4) ± √(-4)² - 4(3)-55

2(3)

W = 5, W = -11/3

substitute W=5 to equation L = 3W - 4 to solve for L

L = 3W - 4

L = 3(5) - 4

L = 15 - 4

L = 11

therefore, the dimensions of a rectangle:

length = 11 yard

width = 5 yard

6 0

3 years ago

What set of reflections and rotations would carry rectangle ABCD onto itself? Parallelogram formed by ordered pairs A at negativ

pickupchik [31]

Each of the 4 choices has been drawn step by step as follows:

the first transformation is drawn in light grey
the second transformation is drawn in dark grey
the third transformation is described as how it should be.

Choice I, picture I:
Rotate 180°, reflect over the x-axis, reflect over the line y=x

the last transformation should be : reflect with respect to the y-axis

Choice II, picture II:
Reflect over the x-axis, rotate 180°, reflect over the x-axis

the last transformation should be : reflect with respect to the y-axis

Choice III, picture III:
Rotate 180°, reflect over the y-axis, reflect over the line y=x

the last transformation should be : reflect with respect to the x-axis

Choice IV, picture IV:
Reflect over the y-axis, reflect over the x-axis, rotate 180°

the last transformation should be : rotate 180° CORRECT!

Answer: Reflect over the y-axis, reflect over the x-axis, rotate 180°

6 0

3 years ago

Read 2 more answers

A car moves with an average speed of 45 miles/hour. How long does the car take to travel 90 miles? A. 2 minutes B. 2 hours C. 45

svlad2 [7]

We know that distance = rate(time). We need to solve for time here.

$d = rt\\90 = 45t\\t = \frac{90}{45}\\t = 2$

The car took 2 hours to travel 90 miles at a speed of 45 mi/hr

5 0

2 years ago

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