All categories

3 years ago

50 points Prove and find the measurement?

Mathematics

2 answers:

frez [133]3 years ago

8 0

Answer:

1) they are similar by AAA postulate

2) 9.6 cm

Explanation:

Triangles CAB and CED are similar

because:

1) both have the same angle C

(vertically opposite angles)

2) Angle A = Angle E

(alternate angles)

3) Angle B = Angle D

(alternate angles)

CA/CE = AB/ED

10/8 = 12/DE

DE = 12 × 8/10

DE = 9.6 cm

nydimaria [60]3 years ago

7 0

Answer:

see below

Step-by-step explanation:

Angle ACE = DCE since they are vertical angles

Angle A = Angle E parallel lines cut by a transversal form congruent alternate interior angles

Angle B = Angle D parallel lines cut by a transversal form congruent alternate interior angles

When all three angles are equal, the triangles are similar.

We can use ratios to find DE

DE CE

------- = ----------

AB AC

DE 8

------- = ----------

12 10

Using cross products

10 DE = 8*12

10 DE = 96

Divide by 10

DE = 9.6

You might be interested in

My question is to write 32 in the form 2n

fiasKO [112]

Answer:

the answe is 64

Step-by-step explanation:

2n means plus the digit 2 times

7 0

3 years ago

Read 2 more answers

I need help with the numbers 9 and 10 please help

Katen [24]

9] Rocky Falls would be 13.4°F at sunrise.

Use the equation 23.1 + (-9.7) = x, where x is the temperature at sunrise (13.4)
23.1 + (-9.7) = 23.1 - 9.7
Solve so that x = 13.4

10] Jamie originally had $263.25 in her account.

Just add how much she spent (135.75 + 32) to how much she ended up with (95.5)

135.75 + 95.5 + 32 = 263.25

If you are asking how much she has if she started out with $95.50 before going to the Mets game,

95.5 - (135.75 + 32) = -$72.25
Or 95.5 - 135.75 - 32, same result of -72.25

3 0

4 years ago

Please help me ASAP i give brainliests and thanks :)

Firdavs [7]

Answer:

Positive

Step-by-step explanation:

Since there are two x-intercepts, -2 and 2, there is a positive discriminant. If the parabola was below the x axis and opened downwards, the discriminant would be negative.

4 0

3 years ago

Read 2 more answers

For her presentation on the Wonders of the World, Mary baked a square pyramid-shaped cake as pictured below. The slant height of

mihalych1998 [28]

Answer:

$V=196in^3$

Step-by-step explanation:

The volume of a pyramid is:

$V=\frac{A_{b}h}{3}$

where $A_{b}$ is the area of the base and $h$ is the height (the perpendicular measurement between base and highest point, not the slant height)

Since the base is a square, the area is given by:

$A_{b}=l^2$

where $l$ is the length of the side: $l=8in$ , thus:

$A_{b}=(8in)^2\\A_{b}=64in^2$

Now we need to find the height, for this we use the right triangle that forms with half of a square side (8in/2 = 4in), the slant height (10in), and the height.

In this right triangle, the slant height is the hypotenuse, the leg 1 is the unknown height, and leg 2 is half of the square side.

Using pythagoras:

$hypotenuse^2=leg1^2+leg2^2$