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netineya [11]
2 years ago
15

In the diagram below, point O is circumscribed about quadrilateral ABCD. what is the value of x?

Mathematics
2 answers:
dlinn [17]2 years ago
8 0

Answer:57

Step-by-step explanation:

avanturin [10]2 years ago
7 0

Answer:

The value of x is 57

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In an inscribed quadrilateral, the opposite angles are supplementary

so

m∠B+m∠D=180°

substitute the given values and solve for x

93+(x+30)=180\\x+123=180\\x=180-123\\x=57

therefore

The value of x is 57

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Matt can buy and 8 ounce jar of salsa for $2.79 or a 15 ounce jar of salsa for $5.54 which jar has the best unit rate
sasho [114]

Answer:

8 ounce jar

Step-by-step explanation:

We divide the price by the number of ounces to find the unit rate or cost per one ounce.

2.79/8=0.34875

5.54/15=0.3693

The 8 ounce jar has the best unit rate with a lower cost per ounce.

5 0
2 years ago
Choose the right answer. A series of light brown lines drawn at intervals of 50 feet to designate their respective heights above
Natali [406]

Answer:

Contour lines

Step-by-step explanation:

A series of light brown lines drawn at intervals of 50 feet to designate their respective heights above sea level are called CONTOUR lines, or just contour.

A contour line (also called isoline) is a line that indicates points at the same elevation on the map, showing you a representation of the terrain's elevation (hills, mountains, canyons and so on).  You will find those lines on specialized maps, like topographic maps, which are different than road maps.

8 0
2 years ago
Box 1: Dimensions: x by 3x by x3 Area of base = x(3x) = 3x2 Box 2: Dimensions: x by 4x – 1 by x3 Area of base = x(4x – 1) = 4x2
andriy [413]

Answer:

box 1: monomial

box 2: binomial

Step-by-step explanation:

reasoning: Box 1’s volume is modeled by a monomial times a monomial, so it will be a monomial.

Box 2’s volume is modeled by a monomial times a binomial, so it will be a binomial.

4 0
2 years ago
Read 2 more answers
One of your peers claims that boys do better in math classes than girls. Together you run two independent simple random samples
JulijaS [17]

Answer:

Step-by-step explanation:

Hello!

To test if boys are better in math classes than girls two random samples were taken:

Sample 1

X₁: score of a boy in calculus

n₁= 15

X[bar]₁= 82.3%

S₁= 5.6%

Sample 2

X₂: Score in the calculus of a girl

n₂= 12

X[bar]₂= 81.2%

S₂= 6.7%

To estimate per CI the difference between the mean percentage that boys obtained in calculus and the mean percentage that girls obtained in calculus, you need that both variables of interest come from normal populations.

To be able to use a pooled variance t-test you have to also assume that the population variances, although unknown, are equal.

Then you can calculate the interval as:

[(X[bar]_1-X[bar_2) ± t_{n_1+n_2-2;1-\alpha /2} * Sa*\sqrt{\frac{1}{n_1} +\frac{1}{n_2} }]

Sa= \sqrt{\frac{(n_1-1)S^2_1+(n_2-1)S^2_2}{n_1+n_2-2} } = \sqrt{\frac{14*(5.6^2)+11*(6.7^2)}{15+12-2} }= 6.108= 6.11

t_{n_1+n_2-2;1-\alpha /2}= t_{15+12-2;1-0.05}= t_{25;0.95}= 1.708

[(82.3-81.2) ± 1.708* (6.11*\sqrt{\frac{1}{15}+\frac{1}{12}  }]

[-2.94; 5.14]

Using a 90% confidence level you'd expect the interval [-2.94; 5.14] to contain the true value of the difference between the average percentage obtained in calculus by boys and the average percentage obtained in calculus by girls.

I hope this helps!

3 0
2 years ago
Zhi bought 18 tickets for games at a fair. Each game requires 3 tickets. Zhi wrote the expression 18 – 3g to find the number of
marysya [2.9K]

Answer:

Equation 1

18 represents the number of tickets Zhi starts with. -3 is how many tickets each game uses, G is the amount of games played.

Equation 2

This equation is just equation 1 in factored form, 3 times 6= 18 and                   -g times 3= -3g. All of the parts are the same from the first equation.

Hope this helps some!!


4 0
2 years ago
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