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Bess [88]
3 years ago
9

In the figure below, segment AC is congruent to segment AB: Which statement is used to prove that angle ABD is congruent to angl

e ACD?
A. Triangle ACD is similar to triangle ABD.
B. Segment AD is congruent to segment AC.
C. Angle DAC is congruent to angle DAB.
D. Angle CAB is congruent to angle CBA.

Mathematics
1 answer:
MatroZZZ [7]3 years ago
4 0

Answer:

C.Angle DAC is congruent to angle DAB

Step-by-step explanation:

We are given that

AC is congruent to segment AB.

We have to find the statement which is used to prove that angle ABD is congruent to angle ACD.

In triangle ABD and triangle ACD

AD\cong AD

Reflexive property of congruency

AC\cong AB (given)

\angle DAB\cong\angle DAC

\triangle ABD\cong \triangle ACD

(SAS Postulate)

\angle ABD\cong \angle ACD

(CPCT)

Hence, option C is true.

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Which expression is equivalent to 150x² - 60x ?
Bas_tet [7]

Answer: The Answer is B

Step-by-step explanation:

You need to distribute 15x(10x - 4). 15x times 10x is 150x and since there is 2 x's your gonna square it. So then it would be 150x². next 15x times -4 is -60 and add your x. Your answer is 150x² - 60x.

8 0
2 years ago
Read 2 more answers
Several years​ ago, 38​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students r
Colt1911 [192]

Answer:

0.428 - 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.3995

0.428 + 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.4564

We are confident that the true proportion of people satisfied with the quality of education the students receive is between (0.3995, 0.4564), since the lower value for this confidence level is higher than 0.38 we have enough evidence to conclude that the parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

For this case we are interesting in the parameter of the true proportion of people satisfied with the quality of education the students receive

The confidence level is given 95%, the significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical values are:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The estimated proportion of people satisfied with the quality of education the students receive is given by:

\hat p =\frac{499}{1165}= 0.428

The confidence interval for the proportion if interest is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

And replacing the info given we got:

0.428 - 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.3995

0.428 + 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.4564

We are confident that the true proportion of people satisfied with the quality of education the students receive is between (0.3995, 0.4564), since the lower value for this confidence level is higher than 0.38 we have enough evidence to conclude that the parents' attitudes toward the quality of education have changed.

8 0
3 years ago
−4.2(−2.8+4.5)​ I think I know what the answer is but I just want to be 100% sure. Please solve this and tell me your answer. I
Talja [164]

Answer:

-7.14

Step-by-step explanation:

Evaluate

−4.2(−2.8 + 4.5)​

Open parenthesis

(-4.2 * -2.8) + (-4.2 * 4.5)

= (11.76) + (- 18.9)

= 11.76 - 18.9

= -7.14

NOTE:

Negative (-) × negative (-) = positive (+)

Positive (+) × positive (+) = positive (+)

Negative (-) × positive (+) = negative (-)

Positive (+) × negative (-) = negative (-)

7 0
3 years ago
I WILL MARK U BRAINLIEST PLEASEEE HELP ME WITH THIS!!!
slamgirl [31]

Answer:

this is answer

Step-by-step explanation:

Right now I don't have time. If u have doubt, send me a message. And I'll explain later.

hope it helps ☺️

6 0
2 years ago
Write an equation for the line that contains the points (5,3) and (8,9).
Leviafan [203]
Y= 2x +3

First, you find the slope. ( use slope formula)

y2 - y1 / x2 - x1 = m (slope)

Then just put the y-axis in, add or subtract (depends on the sign)
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2 years ago
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