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2 years ago

What’s the reason for number 4?

Mathematics

1 answer:

Sonbull [250]2 years ago

8 0

Answer:

C) SAS

Lines BC and CD are congruent, Angles 1 and 2 are congruent, and the triangles share a side. Thus, the triangles are congruent because of Side-Angle-Side.

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Prove that one of every three consecutive positive integer is divisible by 3

Inessa05 [86]

Hello :
all n in N ; n(n+1)(n+2) = 3a a in N or : <span>≡ 0 (mod 3)
1 ) n </span><span>≡ 0 ( mod 3)...(1)

n+1 </span>≡ 1 ( mod 3)...(2)
  n+2 ≡ 2 ( mod 3)...(3)
by (1), (2), (3) : n(n+1)(n+2) ≡ 0×1×2   ( mod 3) : ≡ 0 (mod 3)
2) n ≡ 1 ( mod 3)...(1)

n+1 ≡ 2 ( mod 3)...(2)
  n+2 ≡ 3 ( mod 3)...(3)
by (1), (2), (3) : n(n+1)(n+2) ≡ 1×2 × 3  ( mod 3) : ≡ 0 (mod 3) , 6≡ 0 (mod)
3) n  ≡ 2 ( mod 3)...(1)

n+1 ≡ 3 ( mod 3)...(2)
  n+2 ≡ 4 ( mod 3)...(3)
by (1), (2), (3) : n(n+1)(n+2) ≡ 2×3 × 4  ( mod 3) : ≡ 0 (mod 3) , 24≡ 0      (mod3)

5 0

2 years ago

A train traveled from Chicago il to Los Angeles ca in 1 day and 15 minutes. This distance between the two cities is 20153 miles.

fgiga [73]

831.05, I think that is the correct answer

4 0

2 years ago

A builder needs to cover 10 square yards of floor with tile. red tile costs $60 per square yard, and white tole costs $40 per sq

dsp73

Answer:40 square yards

Step-by-step explanation:

Given

Floor area A=10 square yards

Red tile costs $\$ 60$ per square yards

White tile costs $\$40$ per square yards

Total money spent= $\$480$ on tiles

Suppose red tiles cover an area of $x$ square yards

So, we can write

$60\times x+40\times (10-x)=480\\60x+400-40x=480\\20x=80\\x=40\ \text{square yards}$

Red tiles cover an area of 40 square yards

6 0

2 years ago

The commercial for the new Meat Man Barbecue claims that it takes 10 minutes for assembly. A consumer advocate thinks that the c

Andrews [41]

Answer:

There is enough evidence to make the conclusion that the population mean amount of time to assemble the Meat Man barbecue is not equal to 10 minutes (P-value=0.009).

Step-by-step explanation:

We have to perform an hypothesis test on the mean.

The null and alternative hypothesis are:

$H_0: \mu=10\\\\H_1: \mu \neq 10$

The significance level is $\alpha=0.05$ .

The test statistic t can be calculated as:

$t=\frac{M-\mu}{s/\sqrt{N} } =\frac{11.2-10}{3.1/\sqrt{50} }=2.737$

The degrees of freedom are:

$df=N-1=50-1=49$

The P-value (two-tailed test) for t=2.737 and df=49 is P=0.00862.

This P-value (0.009) is smaller than the significance level, so the effect is significant. The null hypothesis is rejected.

There is enough evidence to make the conclusion that the population mean amount of time to assemble the Meat Man barbecue is not equal to 10 minutes.

7 0

3 years ago

What decimal is smaller .52 or .25

Liono4ka [1.6K]

Answer:

0.25

Step-by-step explanation:

0.52 is like 2 quarters

0.25 is 1 quarter

So, 1 < 2

Have a nice day! :)

3 0

3 years ago