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3 years ago

How do you solve this equation step-by-step? (below) 4a + 8 - 2a - 3 = 45

Mathematics

2 answers:

timofeeve [1]3 years ago

6 0

Answer:

a=20

Step-by-step explanation:

makkiz [27]3 years ago

3 0

Answer:

Step-by-step explanation:

4a-2a+8-3=45

2a+5=45

2a+5-5=45-5

2a/2=40/2

a=20

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Identify the three similar right triangles in the given diagram.

irga5000 [103]

Answer:

B. ΔABD, ΔADC, ΔDBC

Step-by-step explanation

Step -1 In ΔABD and ΔADC (from figure).

∠DAB=∠CAD (common in both triangles) ,

∠DBA=∠CDA =90 degree, and

∠BDA=∠DCA (rest angle of the two triangles).

therefore ΔABD similar to ΔADC (by AAA similarity theorem).

Step -2 In ΔDBC and ΔADC (from figure).

∠DCB=∠ACD (common in both triangles) ,

∠DBC=∠ADC =90 degree, and

∠CDB=∠CAD (rest angle of the two triangles).

therefore ΔDBC similar to ΔADC (by AAA similarity theorem).

Step -3 In ΔABD and ΔDBC (from figure).

∠BDA=∠BCD (because , ∠ACD=ADB from stap-1 and ∠ACD=∠BCD from figure) ,

∠DBA=∠CBD =90 degree, and

∠BAC=∠BDC (rest angle of the two triangles).

therefore ΔABD similar to ΔDBC (by AAA similarity theorem).

In the above step- ΔABD similar to ΔADC, ΔDBC similar to ΔADC and ΔABD similar to ΔDBC.

Hence ΔABD, ΔADC, ΔDBC similar to each other in the given figure.

4 0

3 years ago

Vertical and Horizontal Lines<br><br> Write the equation of the line graphed below.

ZanzabumX [31]

Answer:

x=3

Step-by-step explanation:

Because the line lies on x =3

3 0

3 years ago

Read 2 more answers

Which of the following graphs best represents the solution to pair of equations below

BigorU [14]

Answer:

where are the graphs

Step-by-step explanation:

you can upload files to brainly to help the community understand the question. besides, without looking it's probably a curve and a line

6 0

3 years ago

Wesley makes spherical fish tanks with a diameter of 30. A customer requests a smaller tank with half the volume of the tank tha

grandymaker [24]

Answer:

23.8

Step-by-step explanation:

V = 4/3 π r³

V = 4/3 π (15)³

V = 4500 π

V = 4/3 π r³

4500 π / 2 = 4/3 π r³

1687.5 = r³

r ≈ 11.9

d ≈ 23.8

5 0

3 years ago

Find the surface area of composite figure. Please help

Ivan

Answer:

The surface area of the composite figure is $410\ m^{2}$

Step-by-step explanation:

we know that

The surface area of the composite figure is equal to the surface area of the rectangular prism of the bottom plus the lateral area o the rectangular prism of the top

Step 1

Find the surface area of the rectangular prism of the bottom

The surface area is equal to

$SA=2B+Ph$

Find the area of the base B

$B=10*10=100\ m^{2}$

$P=4*10=40\ m$

$h=3\ m$

substitute

$SA=2(100)+40(3)=320\ m^{2}$

Step 2

Find the lateral area of the rectangular prism of the top

The lateral area is equal to

$LA=Ph$

$P=2*(4+5)=18\ m$

$h=5\ m$

substitute

$LA=18(5)=90\ m^{2}$

Step 3

Find the surface area of the composite figure

$320\ m^{2}+90\ m^{2}=410\ m^{2}$

8 0

3 years ago