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spayn [35]
3 years ago
13

Find x. Give reasons to justify your solution. b Lines AB and CD are straight lines.

Mathematics
1 answer:
MArishka [77]3 years ago
4 0

Answer:

x = 28

Step-by-step explanation:

Given that lines AB and CD are straight lines that intersects at O, it follows that the pair of opposite vertical angles formed are congruent.

Thus,

<AOD = <BOC

<AOD = 152°

<BOC = 3x + x + (x + 12) (angle addition postulate)

<BOC = 5x + 12

Since <AOD = <BOC, therefore,

152° = 5x + 12 (substitution)

152 - 12 = 5x (subtraction property of equality)

140 = 5x

140/5 = x (division property of equality)

28 = x

x = 28

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Criterion: Identify IV, DV, and hypotheses and evaluate the null hypothesis for an independent samples t test. Data: Use the inf
Papessa [141]

The table is missing in the question. The table is provided here :

Group 1        Group 2

 34.86            64.14      mean

 21.99            20.46      standard deviation

  7                    7                n

Solution :

a). The IV or independent variable = Group 1

    The DV or the dependent variable = Group 2

b).

  $H_0: \mu_1 = \mu_2$

  $H_a:\mu_1 < \mu_2$

  Therefore,   $t = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{s_1^2}{n_1}+\frac{S_2^2}{n_2}}}$

$t = \frac{34.86 - 64.14}{\sqrt{\frac{21.99^2}{7}+\frac{20.46^2}{7}}}$

t = -2.579143

Now,   $df = min(n_1 - 1, n_2 - 1)$

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Therefore the value of p :

  $=T.DIST(-2.579143,6,TRUE)$

 = 0.020908803

The p value is 0.0209

$p< 0.05$

So we reject the null hypothesis and conclude that $\mu_1 < \mu_2$

7 0
3 years ago
What time would it be 3 hours after 6:05
SpyIntel [72]
3+6=9

The time would be 9:05
6 0
3 years ago
Ken has already baked 4 pies and he can bake 1 pie with each additional cup of sugar he buys. With 31 additional cups of sugar,
Bumek [7]

Answer: 35 pies

Step-by-step explanation:

Ken can bake 1 pie with each additional cup of sugar he buys. 1 pie =1 cup

4 + x = y

Where;

x= additional pies

y= total pies

If 1 cup= 1 pie; then 31 cups =

31 cup × 1 pie/1 cup = x

:. x= 31 pies

y= x + 4

y= 31+4 = 35

6 0
3 years ago
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