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3 years ago

5

I need help finishing the proof

1 answer:

erastova [34]3 years ago

6 0

Answer:

See proof

Step-by-step explanation:

Statements Reasons

1. $\overline{AEC}$ bisects $\angle DAB,\ \angle 1\cong \angle 2$ Given

2. $\angle 3\cong \angle 4$ Definition of angle bisector

3. $\overline{AE}\cong \overline{AE}$ Reflexive property of equality

4. $\triangle ABE \cong \triangle ADE$ AAS postulate

5. $\overline {AB}\cong \overline{AD}$ Congruent triangles have congruent corresponding sides

6. $\overline{AC}\cong \overline{AC}$ Reflexive property of equality

7. $\triangle BAC \cong \triangle DAC$ SAS postulate

8. $\overline {BC}\cong \overline{CD}$ Congruent triangles have congruent corresponding sides

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3/28 of the animals are birds. 4/15 are birds of prey. What fraction of the animals are birds of prey.

vova2212 [387]

Let's call animals "a", and birds "b", birds of prey, "p"

so, b= $\frac{3}{28} a$

and p= $\frac{4}{15} b$
what;s the relation of p to a?

we substitude b into the last one:

and p= $\frac{4}{15}* \frac{3}{28} a$
so:
p= $\frac{4*3}{15*28} a$

p= $\frac{4*1}{5*28} a$

p= $\frac{1*1}{5*7} a$

p= $\frac{1*1}{35} a$

which is the answer!

7 0

3 years ago

Triangles LMN and NWR are right triangles. What is

Sever21 [200]

Answer:

NW = 15.6 cm

Step-by-step explanation:

If ΔLMN ~ ΔNWR then:

$\sf LN : LM = RN : RW$

$\implies \sf \dfrac{LN}{LM}=\dfrac{RN}{RW}$

$\implies \sf \dfrac{10}{24}=\dfrac{6}{RW}$

$\implies \sf 10RW=6 \cdot 24$

$\implies \sf RW = 14.4\:cm$

Find NW by using Pythagoras' Theorem:

$a^2+b^2=c^2$

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

a = RN = 6 cm
b = RW = 14.4 cm
c = NW

Substituting the given values into the formula and solving for NW:

$\implies \sf 6^2+14.4^2=NW^2$

$\implies \sf NW^2=243.36$

$\implies \sf NW=\sqrt{243.36}$

$\implies \sf NW=15.6\:cm$

4 0

2 years ago

Read 2 more answers

???!! Someone pleaseee help me

Lady bird [3.3K]

If AB + BC = AC, and A, B and C are collinear, then
B is between A and C

8 0

3 years ago

A scooter (small motorcycle) is bought at a price of $9,000. It loses 14% of its value very year. Express this scenario as a seq

IrinaK [193]

The scenario as a sequence recursively and explicitly is

$a_{1}$ = 9,000 ; $a_{n}$ = 0.86 • $a_{n-1}$

$a_{n}=9,000(0.86)^{n-1}$

Step-by-step explanation:

The recursive formula for the nth term of a geometric sequence is

$a_{1}$ = first term ; $a_{n}$ = r • $a_{n-1}$ , where

$a_{1}$ is the first term in the sequence
r is the common ratio between the consecutive terms

The explicit formula for the nth term of a geometric sequence is

$a_{n}=a(r)^{n-1}$ , where

a is the first term
r is the common ratio between the consecutive terms

∵ A scooter (small motorcycle) is bought at a price of $9,000

∵ It loses 14% of its value very year

- That means the new price of it will be 100% - 14% of the

previous year

∵ 100% - 14% = 86%

∵ 86% = 86 ÷ 100 = 0.86

∴ Each year the price will be 0.86 of the price of the previous year

∴ The common ratio r = 0.86

∵ The initial price of the scooter is $9,000

∴ $a_{1}$ = 9,000

∵ r = 0.86

- Substitute them in the the recursive formula

∴ $a_{1}$ = 9,000 ; $a_{n}$ = 0.86 • $a_{n-1}$

∵ a = 9,000

∵ r = 0.86

- Substitute them in the the explicit formula

∴ $a_{n}=9,000(0.86)^{n-1}$

The scenario as a sequence recursively and explicitly is

$a_{1}$ = 9,000 ; $a_{n}$ = 0.86 • $a_{n-1}$

$a_{n}=9,000(0.86)^{n-1}$

Learn more:

You can learn more about the sequences in brainly.com/question/1522572

#LearnwithBrainly

5 0

3 years ago

A convex polyhedron has faces that consist of 30 squares, 20 hexagons, and 12 octagons. The polyhedron has 120 vertices. How man

saw5 [17]

Add the total faces: 30 + 20 + 12 = 62

Using the given equation: V + F = E +2

You have F = 62, V = 120

Now solve for E:

120 + 62 = E +2

Simplify:

182 = E +2

Subtract 2 from both sides:

E = 182 - 2

E = 180

It has 180 edges.

4 0

3 years ago

Read 2 more answers