All categories

2 years ago

2. In the figure, what is m ZC? (1 point) 15° 35° 50° 65°

Mathematics

1 answer:

Doss [256]2 years ago

3 0

Answer:

35°

Step-by-step explanation:

By the property of intersecting secants outside of a circle.

$m\angle C = \frac{1}{2} \times (100° - 30°)\\\\m\angle C = \frac{1}{2} \times 70°\\\\\huge \red {\boxed {m\angle C = 35°}}$

You might be interested in

I can't figure this question out I've tried multiple times but only 2/3. Help, please.

Scrat [10]

Answer:

yes it is 2/3

Step-by-step explanation:

4 0

2 years ago

In the rectangle below, E1=2x -2, FH=3x+6, and m 4IHG =35°.Find Gl and m LIEH

Tpy6a [65]

Recall that the diagonals of a rectangle bisect each other and are congruent, therefore:

$\begin{gathered} FH=2EI, \\ GI=EI. \end{gathered}$

Substituting the given expression for each segment in the first equation, we get:

$3x+6=2(2x-2).$

Solving the above equation for x, we get:

$\begin{gathered} 3x+6=4x-4, \\ 3x+6+4=4x, \\ 3x+10=4x, \\ 4x-3x=10, \\ x=10. \end{gathered}$

Substituting x=10 in the equation for segment EI, we get:

$EI=2*10-2=20-2=18.$

Therefore:

$GI=18.$

Now, to determine the measure of angle IEH, we notice that:

$\Delta HFG\cong\Delta GEH,$

therefore,

$\measuredangle GHF\cong\measuredangle HGE.$

Using the facts that the triangles are right triangles and that the interior angles of a triangle add up to 180° we get:

$m\measuredangle IEH=90^{\circ}-35^{\circ}=55^{\circ}.$

<h2>Answer: </h2> $\begin{gathered} m\operatorname{\measuredangle}IEH=55^{\operatorname{\circ}}, \\ GI=18. \\ \end{gathered}$

4 0

1 year ago

What is the number that is two more than one-tenth of one-fifth of one-tenth of 2,000

topjm [15]

Answer:

Step-by-step explanation:

2 + (1/10)(1/5)(1/10)2000 = 2 + (1/500)(2000) = 2 + 4 = 6

6 0

2 years ago

Solve equation, check for extraneous solutions

fiasKO [112]

Start with

$1=\dfrac{1}{n^2}+\dfrac{n^2-4n-5}{3n^2}$

We observe that both fractions are not defined if $n=0$ . So, we will assume $n \neq 0$ .

We multiply both numerator and denominator of the first fraction by 3 and we sum the two fractions:

$1=\dfrac{3}{3n^2}+\dfrac{n^2-4n-5}{3n^2} = \dfrac{n^2-4n-2}{3n^2}$

We multiply both sides by $3n^2$ :

$n^2-4n-2=3n^2$

We move everything to one side and solve the quadratic equation:

$2n^2+4n+2=0 \iff 2(n^2+2n+1)=0 \iff 2(n+1)^2=0 \iff n+1=0 \iff n=-1$

We check the solution:

$1=\dfrac{1}{1}+\dfrac{1+4-5}{3} \iff 1 = 1+0$

which is true

8 0

3 years ago

Together, angles A and B form a 90° angle. Angle A measures 54°. What is the measure of angle B?

Hunter-Best [27]

Answer:

36 degrees

Step-by-step explanation:

Subtract 54 from 90

7 0

2 years ago

Read 2 more answers