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IRISSAK [1]
3 years ago
13

The triangles are similar by the AA Similarity Postulate. Find the value of x

Mathematics
1 answer:
alexandr1967 [171]3 years ago
3 0
4.5/3= 1.5

It is 1.5 times bigger than the smaller triangle.

So,

5*1.5= 7.5

x= 7.5

I hope this helps!
~kaikers
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Algebra 1 CR-8
antiseptic1488 [7]

\mathrm{Domain\:of\:}\:x^2+2x-15\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

\mathrm{Range\:of\:}x^2+2x-15:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:-16\:\\ \:\mathrm{Interval\:Notation:}&\:[-16,\:\infty \:)\end{bmatrix}

\mathrm{Axis\:interception\:points\:of}\:x^2+2x-15:\quad \mathrm{X\:Intercepts}:\:\left(3,\:0\right),\:\left(-5,\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:-15\right)

\mathrm{Vertex\:of}\:x^2+2x-15:\quad \mathrm{Minimum}\space\left(-1,\:-16\right)

4 0
3 years ago
Find the total area of the entire figure. *
bonufazy [111]

Answer:

392.5 in²

Step-by-step explanation:

This figure is consists of a trapezium and a rectangle.

So, to find the total area of the figure you have to find the area of the trapezium and the rectangle separately  and add them together.

Let us find now.

<u>Area of the Trapezium</u>

Area = \frac{1}{2} × ( sum of the parallel sides ) × height

Area = \frac{1}{2} × (  9 + 20 ) × 5

Area = \frac{1}{2} × 29 × 5

Area = \frac{1}{2} × 145

Area = 72.5 in²

<u>Area of the rectangle</u>

Area = Length × Width

Area = 20 × 16

Area = 320 in²

<u>Total area of the figure</u>

Total area = Area of the trapezium + Area of the rectangle

Total area = 72.5 in² + 320 in²

Total area = 392.5 in²

Hope this helps you :-)

Let me know if you have any other questions :-)

6 0
2 years ago
Miguel bikes 23 km per hour and starts at mile 10. Gabby bikes 28 km per hour and starts at hour 0. Which system of linear equat
Goshia [24]

Answer:

Miguel: d = 23t + 10

Gabby: d = 28t

Step-by-step explanation:

We can write the equation for each case in slope-intercept form, d = mt + b

Where,

d = total distance

t = time

m (rate) = distance/hr

b = initial value

✔️ Miguel:

m = 23 km/hr

b = 10 mile

Equation: subtitle the values into d = mt + b

d = 23t + 10

✔️ Gabby:

m = 28 km/hr

b = 0 mile

Equation: subtitle the values into d = mt + b

d = 28t + 0

d = 28t

4 0
3 years ago
Chau's shop sells quarts of ice cream each day. How much is this in pints?
barxatty [35]

Answer:

One quart is 2 pints

Step-by-step explanation:

multiply the number of quarts by 2 to get the number of pints.

5 0
3 years ago
What is the value of x in the equation below?
Alexeev081 [22]
X equals 4

I just did it
8 0
3 years ago
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