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3 years ago

What is the value of z? ( please help)

Mathematics

1 answer:

maxonik [38]3 years ago

7 0

Answer:

z = 1

Step-by-step explanation:

See the diagram of the triangle attached to this question.

We know the property of angles of a triangle as if we sum any two interior angles then we will get the opposite exterior angle.

Hence,

42z + 37 = 40z + (26z + 13)

⇒ 42z + 37 = 66z + 13

⇒ 37 - 13 = 66z - 42z

⇒ 24 = 24z

⇒ z = 1 (Answer)

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In the diagram, .

yuradex [85]

Answer: PN= 20 in.

Step-by-step explanation:

Given: In triangles PMN and QSR :

Length of P N ≅ Length of RQ (1) [ '≅' → Sign of congruence]

Length of QS ≅ Length of PM

Length of MN ≅ Length of RS

By SSS congruence rule

ΔPMN ≅ ΔQSR

Since Length of QR =20 in. [Given]

From (1)

Length of PN= 20 in. [Congruent means exactly equal]

4 0

3 years ago

What’s the right number to enter for this question ?

Lena [83]

Answer: 2

Step-by-step explanation:

Multiply by 2 each side and the result will give the numbers of the larger triangle.

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3 years ago

Each base in this right prism-like figure is a quarter of a circle with a radius of 2m.

NISA [10]

Answer:

$volume = 10\pi m^3$

Step-by-step explanation:

Volume of a prism = Base Area x height

Base is a quarter of a circle.

$Area \ of \ circle = \pi r^2\\\\r = 2m\\\\Area \ of \ quarter \ of \ a \ circle = \frac{1}{4} \pi r^2 = \frac{1}{4}\pi \times 4 = \pi m^2$

Base Area = π square meters.

Therefore ,

$Volume = Base Area \times height = \pi \times 10 = 10\pi m^3$

7 0

3 years ago

Find m∠ABC in the picture. (it's not solving for x.)

lys-0071 [83]

Answer:

The answer would be 6º

Step-by-step explanation:

first we know that a straight lin is always 180º

so since we know that the angle outside of the triangle is 110º we can do 180º -110º

then we get the measuerment for angle C :70º

since we dont know the measurements of the other angles but know that a full triangle is equal to 180º we make this equation

2+6x+12x+70=180

then we solve

72+18x=180

-72 -72

18x=108

/18 /18

x=6

then we plug in the x value to find the angle measurement

2+6(6)

2+36

38º

your answer is m<CAB is 38º

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3 years ago

Select all that apply to the following statement. There is a LOW correlation between cheating and final grades in Math256. Group

Gwar [14]

Answer:

The correlation has no unit of measurement; it is just a number.

Correlation requires both variables to be quantitative.

Step-by-step explanation:

Correlation refers to the measure of the relationship between two variables. The correlation between two variables is measured using the correlation Coefficient which may take any value between - 1 and 1 ; the closer the correlation Coefficient is to either 1 or - 1, the greater the relationship with negative depicting a negative association and positive depicting a positive relationship between the variables. The correlation Coefficient requires that both variables are numeric (quantitative). The correlation Coefficient has no unit of measurement.

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3 years ago