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weeeeeb [17]
3 years ago
7

is tangent to circle P at point Q. Circle P is shown. Line segment P Q is a radius. Line segment Q R is a tangent that intersect

s the circle at point Q. A line is drawn from point R to point P and goes through a point on the circle. Angle Q P R is 53 degrees. What is the measure of angle R? 37° 53° 90° 97°
Mathematics
2 answers:
sladkih [1.3K]3 years ago
7 0

Answer:37

Step-by-step explanation:

Anna11 [10]3 years ago
3 0

Answer:

m\angle R=37^o

Step-by-step explanation:

we know that

If Line segment Q R is a tangent to circle P at point Q

then

Line segment QR is perpendicular to line segment PQ (radius) and PQR is a right triangle

so

m\angle QPR+m\angle R=90^o ---> by complementary angles in a right triangle

substitute the given value

53^o+m\angle R=90^o

m\angle R=90^o-53^o=37^o

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If Y is the midpoint of segement WZ, YZ = x + 3, and WZ = 3x-4, determine the length of segment WZ
Georgia [21]
This is my answer! I solve it by myself, check it out!!!! Sorry for late

3 0
3 years ago
in a state with a population of 2000000 the average vitizen spends 6000 on housing each year. what is the total spent on housing
Olenka [21]

Answer:

1.2 \times 10^{10} spents on housing for each year for the state.

Step-by-step explanation:

Given:

Population of State = 2000000

Average Citizen spends on housing = 6000

We need to find total spent on housing for the state.

For finding total spent on housing for state we need to multiply Population of state with average citizen spends on housing.

Total spent on housing for state = Population of State \times Average Citizen spends on housing = 2000000 \times 6000 = 12000000000

Now expressing the above in scientific notation we get;

Total spent on housing for state = 1.2 \times 10 ^{10}

7 0
3 years ago
You invest $40,000 in two funds paying 4% and 52% simple interest. The total annual interest is $2080. How much do you invest in
natali 33 [55]

9514 1404 393

Answer:

  • 4% fund: $39,000
  • 52% fund: $1000

Step-by-step explanation:

Let x represent the amount invested at 52%. Then (40000-x) is the amount invested at 4%. The total annual interest is ...

  0.52x +0.04(40000-x) = 2080

  0.48x = 480 . . . . . . . . . subtract 1600, simplify

  x = 1000 . . . . . . . . . divide by 0.48

Then the amounts invested in each fund are ...

  4% fund: $39,000

  52% fund: $1000

6 0
3 years ago
Write a polynomial function f of least degree that has a leading coefficient of 1 and the given zeros -4,-2,5. write the functio
OLga [1]

Answer:

Step-by-step explanation:

This is a third degree polynomial since we have 3 zeros.  We find these zeros by factoring the given polynomial.  The zeros of a polynomial are where the graph of the function goes through the x-axis (where y = 0).  If x = -4, the factor that gives us this value is (x + 4) = 0 and solving that for x, we get x = -4.  If x = -2, the factor that gives us that value is (x + 2) = 0 and solving that for x, we get x = -2.  Same for the 5.  The way we find the polynomial that gave us these zeros is to go backwards from the factors and FOIL them out.  That means that we need to find the product of

(x + 4)(x + 2)(x - 5).  Do the first 2 terms, then multiply in the third.

(x+4)(x+2)=x^2+2x+4x+8, which simplifies to

x^2+6x+8

No we multiply in the final factor of (x - 5):

(x^2+6x+8)(x-5)=x^3+6x^2+8x-5x^2-30x-40 which simplifies to

f(x)=x^3+x^2-22x-40

If you are aware of the method for factoring higher degree polymomials, which is to use the Rational Root Theorem and synthetic division, you will see that this factors to x = -4, -2, 5.  If you know how to use your calculator, you will find the same zeros in your solving polynomials function in your apps.

3 0
3 years ago
3. Today, Dahlia folded 29 paper cranes. Now there are 41 paper cranes in class. How many cranes were there in class yesterday?
ohaa [14]

Answer:

There were 12 cranes in class yesterday. For all the cranes, there were a total of 290 centimeters.

Step-by-step explanation:

41-29=12.

29*10=290

4 0
2 years ago
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