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3 years ago

Hey loves<3!!! Can any of you lovely people help me out plz?

Mathematics

1 answer:

wariber [46]3 years ago

3 0

Answer:

Hey there!

Triangle PQT and RQT are congruent by AAS. AAS means that one side is congruent, and two angles are congruent.

Since these triangles share one side, then the side is congruent.

PR is a straight line, so if angle Q is 90 degrees, then the supplementary angle is also 90 degrees.

Finally, the diagram shows that angles R and P are congruent to each other.

Hope this helps :)

You might be interested in

Which is another way to check the sum of 104 + 34 + 228 + 877?

adell [148]

The answer is D. 877 + 228 + 34 + 104

4 0

3 years ago

Use the given information to find the value of x. Then, find the measure of angle ADC.

skad [1K]

Answer:

60degrees

Step-by-step explanation

To get the angle x, you must first know that the sum of angle at a point is 360degrees. Hence;

x + <ADB + <CDB = 360

x +150 + 150 = 360

x+ 300 = 360

x = 360 - 300

x = 60

Hence the value of x is 60degrees

5 0

3 years ago

One number is 8 a first number . A third number is 100 more than the first number . If the sum of three numbers is 750, find the

zloy xaker [14]

x+(x+8)+(x+100)=750
3x+108=750
3x=642
x=214
So your numbers are 214, 222 and 314

6 0

3 years ago

During the 7th examination of the Offspring cohort in the Framingham Heart Study, there were 1219 participants being treated for

AlexFokin [52]

Answer:

95% confidence interval for the proportion of the population which are on treatment is [0.3293 , 0.3607].

Step-by-step explanation:

We are given that during the 7th examination of the Offspring cohort in the Framing ham Heart Study, there were 1219 participants being treated for hypertension and 2,313 who were not on treatment.

The sample proportion is : $\hat p$ = x/n = 1219/3532 = 0.345

Firstly, the pivotal quantity for 95% confidence interval for the proportion of the population is given by;

P.Q. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion = 0.345

n = sample of participants = 3532

p = population proportion

<em>Here for constructing 95% confidence interval we have used One-sample z proportion statistics.</em>

So, 95% confidence interval for the population proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5% level of

significance are -1.96 & 1.96}

P(-1.96 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 1.96) = 0.95

P( $-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < ${\hat p-p}$ < $1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.95

P( $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < p < $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.95

<u>95% confidence interval for p</u>= [ $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ , $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ]

= [ $0.345-1.96 \times {\sqrt{\frac{0.345(1-0.345)}{3532} } }$ , $0.345+1.96 \times {\sqrt{\frac{0.345(1-0.345)}{3532} } }$ ]

= [0.3293 , 0.3607]

Hence, 95% confidence interval for the proportion of the population which are on treatment is [0.3293 , 0.3607].

6 0

3 years ago

You and your friend play a game. You answer 80% of the questions correctly and your friend answers 0.60 of the questions correct

bezimeni [28]

Answer:

Step-by-step explanation:

Assuming both players can answer the same question, the minimum number of questions is the smallest number that when multiplied by either 0.60 or 0.80 yields a whole number.

Let x be the number of questions, solving by trial and error:

$if\ x=2\\x*0.8=1.6\\x*0.6=1.2\\\\if\ x=3\\x*0.8=2.4\\x*0.6=1.8\\\\if\ x=4\\x*0.8=3.2\\x*0.6=2.4\\\\if\ x=5\\x*0.8=4\\x*0.6=3\\\\$

Therefore, the minimum number of questions in the game is 5.

5 0

3 years ago