All categories

4 years ago

For what value of x does mz1 = 90° ? 100° x + 10)

Mathematics

1 answer:

sp2606 [1]4 years ago

3 0

Answer:

You can solve this with common sense, but I'll do it for you and read my explanation before you demand an answer.

Step-by-step explanation:

When you look at a right angle, one forms 90°

A square has 4 sides, each should measure 90°.

That is how we know that point C measures 90°.

Now let's solve for x.

100+(x+10)+90°=90°

Solve the equation:

100+x+10+90=90

Step 1 : Solve for both sides.

100+x+10+90=90

(x)+(100+10+90)=90 ADD LIKE TERMS!

x+200=90

Step 2: Subtract 200 from both sides so you can make them equal.

x+200−200=90−200

x=−110

So, we get that x=-110. So the blank side should measure 90 degrees.

You might be interested in

Mr.tom is making 8 of his famous cheese sandwiches.he uses 1/4 of a pound of chesse for each sandwich.

Pavlova-9 [17]

A. Mr. Tom needs 2 pounds of cheese.
1/4 multiplied by 8
b. Mr. Tom will need to buy 3/4 of a pound of cheese.
1/4 multiplied by 3
c. Mr. Tom is correct because to get 1/2 of a sandwich you need 1/2 as much of cheese as needed in 1 whole sandwich. You would multiply 1/2 by 1/4 which equals 1/8. 1/2 of a sandwich requires 1/8 of a pound of cheese.

3 0

4 years ago

A quadrilateral has angles that measure 101°, 133°, and 76°.

3241004551 [841]

It would be: 360- (101+133+76)

360-310 = 50 degree hope it helps

6 0

3 years ago

A can of juice has a diameter of 6.6 centimeters and a height of 12.1 centimeters and a height of3 what is the volume of the sto

andreyandreev [35.5K]

Answer:

Volume of the juice can = $413.75cm^3$

Step-by-step explanation:

Given:

$Diameter= 6.6 cm$

$Radius= 6.6/2=3.3 cm$

$Height= 12.1 cm$

Volume of a cylinder= $\pi *r^2*h$

: $\pi =\frac{22}{7} =3.14$

Volume of the cylindrical Juice can = $3.14*3.3*3.3*12.1$

= $413.75cm^3$

So, the volume of the juice can is $413.75cm^3$

4 0

3 years ago

-5x - 2y = -9 8x + 8y = 24

Allisa [31]

Answer:

the point form is (1,2) and the equation form is x=1 and y=2

Step-by-step explanation:

7 0

3 years ago

What are the limits of integration if the summation the limit as n goes to infinity of the summation from k equals 1 to n of the

Fofino [41]

Answer:

$\int_{2}^{9}x^2 dx$ so the limits are 2 and 9

Step-by-step explanation:

We want to express $\lim_{n\rightarrow \infty} \sum_{k=1}^n\frac{7}{n}(2+\frac{7k}{n})^2$ as a integral. To do this, we have to identify $\sum_{k=1}^n\frac{7}{n}(2+\frac{7k}{n})^2$ as a Riemann Sum that approximates the integral. (taking the limit makes the approximation equal to the value of the integral)

In general, to find a Riemann sum that approximates the integral of a function f over an interval [a,b] we can the interval in n subintervals of equal length and approximate the area (integral) with rectangles in each subinterval and them sum the areas. This is equal to

$\sum_{k=1}^n f(y_k) \frac{b-a}{n}$ , where $y_k\in[a+(k-1)\frac{b-a}{n},a+k\frac{b-a}{n}]$ is a selected point of the subinterval.

In particular, if we select the ending point of each subinterval as the $y_k$ , the Riemann sum is:

$\sum_{k=1}^n f(a+k\frac{b-a}{n}) \frac{b-a}{n}$ .

Now, let's identify this in $\sum_{k=1}^n\frac{1}{7n}(2+\frac{7k}{n})^2$ .

The integrand is x² so this is our function f. When k=n, the summand should be $\frac{b-a}{n}f(b)=\frac{b-a}{n}b^2$ because the last selected point is b. The last summand is $\frac{7}{n}(9)^2$ thus b=9 and b-a=7, then 9-a=7 which implies that a=2.

To verify our answer, note that if we substitute a=2, b=9 and f(x)=x² in the general Riemann Sum, we obtain the sum inside the limit as required.

4 0

3 years ago