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4 years ago

Anyone good with geometry cause I’m not

Mathematics

2 answers:

PilotLPTM [1.2K]4 years ago

6 0

Statement Reason

1. ΔABD ≅ ΔCDB 1. Given

2. AB ≅ CD 2. CPCTC

3. ∠ABD ≅ ∠CDB 3. CPCTC

4. ∠AEB ≅ ∠CED 4. Vertical Angle Congruency Theorem

5. ΔABE ≅ ΔCDE 5. AAS Congruency Theorem

klasskru [66]4 years ago

3 0

Angle B equals angle D
angle A equals angle C
so △ABE =△CDE
i think thats the answer

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Applying properties of Exponents In Exercise, use the properties of exponents to simplify the expression.

eimsori [14]

Answer:

(a) $5^{8}$

(b) 3

(d) $\dfrac{1}{6}$

Step-by-step explanation:

We need simplify the given expressions.

(a)

Consider the given expression is

$(5^4)(25^2)$

$(5^4)((5^2)^2)$

Using the properties of exponents we get

$(5^4)(5^4)$ $[\because (a^m)^n=a^{mn}]$

$5^{4+4}$ $[\because a^ma^n=a^{m+n}]$

$5^{8}$

(b)

Consider the given expression is

$(9^{\frac{1}{3}})(3^{\frac{1}{3}})$

$((3^2)^{\frac{1}{3}})(3^{\frac{1}{3}})$

Using the properties of exponents we get

$(3^{\frac{2}{3}})(3^{\frac{1}{3}})$ $[\because (a^m)^n=a^{mn}]$

$3^{\frac{2}{3}+\frac{1}{3}}$ $[\because a^ma^n=a^{m+n}]$

$3^{1}$

$3$

(c)

Consider the given expression is

$(\dfrac{1}{3})^{-3}$

Using the properties of exponents we get

$(\dfrac{3}{1})^{3}$ $[\because a^{-n}=\dfrac{1}{a^n}]$

$3^{3}$

$27$

(d)

Consider the given expression is

$(6^4)(6^{-5})$

Using the properties of exponents we get

$6^{4+(-5)}$ $[\because a^ma^n=a^{m+n}]$

$6^{-1}$

$\dfrac{1}{6^{1}}$ $[\because a^{-n}=\dfrac{1}{a^n}]$

$\dfrac{1}{6}$

6 0

3 years ago

standard cars have 4wheels and standard semitrucks have 18 wheels. if only cars and semitrucks are parked in certain lot, the to

pogonyaev

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3 years ago

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earnstyle [38]

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3 years ago

From the top of a lighthouse 200 feet high, the angle of depression of a boat is 22°. Find the distance from the boat to the foo

Soloha48 [4]

Answer:

495 feet

Step-by-step explanation:

tan22° = 200/d

so, d = 200/tan22°

Then, d = 495.0173707 => 495 feet to the nearest foot

:)>

5 0

3 years ago

Read 2 more answers

Beth bought 35¢ stamps and 15¢ stamps at the post office. If she purchased 60 stamps at a cost of $17, how many of each kind did

timofeeve [1]

Answer:

She buys 20 Stamps of $0.15 and 40 Stamps of $0.35.

Step-by-step explanation:

40 x 0.35 = 14

20 x 0.15 = 3

$14 + $3 = $17

40 ($0.35) + 20 (0.15) = 60 stamps

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3 years ago