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4 years ago

Do ΔCBG and ΔFEG in the figure appear to be similar? Why or why not?

Mathematics

2 answers:

astra-53 [7]4 years ago

8 0

Answer:

Step-by-step explanation:

They're not similar because only one pair of corresponding angles in the two triangles is congruent.

Mama L [17]4 years ago

6 0

Answer: Option C. They're not similar because only one pair of corresponding angles in the two triangles is congruent.

Solution:

The only one pair of corresponding angles in the two triangles is congruent is the angle BGC in ΔCBG and the angle FGE in ΔFEG, because they are vertical angles (opposite by the vertex)

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June bought three books. For the first book, she paid one half of her allowance plus $1 more. For the second book, she paid one

inysia [295]

Answer:

$34

Step-by-step explanation:

I'd work backwards.

For the third book, she paid all her remaining money. The problem says she paid "1/2 her leftover money + $3". This means that: (let m = money used to buy book 3)

m = 1/2m + 3

1/2m = 3

m = 6

For the second book: (let n = money before book 2)

n - m (money left after book 2) = 1/2n + 2

1/2n +2 is money used up for book, which is the same as n-m.

n = 1/2n + 2 + m

1/2n = 2 + m = 2 + 6

1/2n =8

n = 16

For the first book, she spent 1/2 her money + 1. If o = money before book 1 (or the whole allowance):

o - n = 1/2o + 1

o = 1/2o + n + 1 = 1/2o + 16 + 1

1/2o = 17

o = 34

Check!

Spent 17 (half 34) + 1 on book 1

16 left

Spent 8 (half 16) +2 on book 2

6 left

Spent 3 (half 6) + 3 on book 3

0 left

4 0

3 years ago

Find the value of x. Round to the nearest degree

ValentinkaMS [17]

Answer:

b. 44°

Step-by-step explanation:

Reference angle = x

Hypotenuse = 21

Adjacent = 15

Apply trigonometric function CAH:

$Cos(x) = \frac{Adj}{Hyp}$

$Cos(x) = \frac{15}{21}$

$x = cos^{-1}(\frac{15}{21})$

x = 44.4153086° ≈ 44° (nearest degree)

3 0

3 years ago

Small sample: During an economic downturn, companies were sampled and asked whether they were planning to increase their workfor

leva [86]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The confidence level interval is $0.016 \le C \le 0.404$

Step-by-step explanation:

The sample size is $n = 20$

The number planning to increase workforce is $x = 3$

The confidence level is $c = 98$ %

The value of proportion for a plus 4 method is

$p = \frac{x+2}{n+4}$

substituting values

$p = \frac{3+2}{20+4}$

$p =0.21$

The z-critical value at confidence level of 98% is

$z_{c}=z_{0.98} = 2.33$

This values is obtained from the standard normal table

The confidence level interval can be mathematically represented as

$C =p \ \pm z_{c} * \sqrt{\frac{p(1-p)}{n+4} }$

substituting values

$C = 0.21 \pm 2.33 * \sqrt{\frac{0.21(1- 0.21)}{20 +4} }$

$C = 0.21 \pm 0.194$

=> $0.016 \le C \le 0.404$

7 0

3 years ago

allsm [11]

Answer:

Use the information given to write an equation in standard form.

Slope is -3, and (0, -4) is on the line.

Step-by-step explanation:

8 0

3 years ago

A 440.0-volt electric heater draws 10.0 amperes of current. according to Ohms law,what is the resistenace of the heater

Zanzabum

Answer:

The resistance of the heater is 44 ohms.

Step-by-step explanation:

Given that,

Voltage of electric heater, V = 440 volts

Current drawn by the heater, I = 10 A

We need to find the resistance of the heater. It is a case of Ohm's law. Its mathematical form is given by :

$V=IR$

R is resistance of the heater

$R=\dfrac{V}{I}\\\\R=\dfrac{440\ V}{10\ A}\\\\R=44\ \Omega$

So, the resistance of the heater is 44 ohms. Hence, this is the required solution.

4 0

3 years ago