All categories

3 years ago

Ifm_2 = 68°, what is the measure of angle 7? 1 2. 3 5 7

Mathematics

1 answer:

Oksana_A [137]3 years ago

7 0

Answer:

∠7=22°

Step-by-step explanation:

∠2 and ∠7 are supplementary angles, meaning they add to 90°.

∠2+∠7=90°

substitute ∠2

68°+∠7=90°

∠7=22°

You might be interested in

IF 24 IS ADDED TO A NUMBER, IT WILL BE 3 TIMES AS LARGE AS IT WAS ORIGINALLY. FIND THE NUMBER

Romashka [77]

$x-the\ number\\\\x+24=3x\ \ \ \ \ \ |subtract\ 24\ from\ both\ sides\\\\x=3x-24\ \ \ \ \ \ \ |subtract\ 3x\ from\ both\ sides\\\\-2x=-24\ \ \ \ \ \ \ \ |divide\ both\ sides\ by\ (-2)\\\\\boxed{x=12}\leftarrow answer$

3 0

3 years ago

from a window 24 feet above the ground, the angle of elevation to the top of another building is 38 degrees. The distance betwee

Delvig [45]

Answer:

The height of the building is $73.2\ ft$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle ABC

$tan(38\°)=\frac{BC}{AB}$

we have

$AB=63\ ft$

substitute and solve for BC

$tan(38\°)=\frac{BC}{63}$

$BC=(63)tan(38\°)=49.2\ ft$

Find the height of the building

The height of the building (h) is equal to

$h=BC+24=49.2+24=73.2\ ft$

6 0

3 years ago

The answer to this word problem usinf discriminant

solniwko [45]

$\bf h=-9.8t^2+45t+1.2\implies 64.5=-9.8t^2+45t+1.2
\\\\\\
0=-9.8t^2+45t-63.3\\\\
-------------------------------$

$\bf \qquad \qquad \qquad \textit{discriminant of a quadratic}
\\\\\\
0=\stackrel{\stackrel{a}{\downarrow }}{-9.8}t^2\stackrel{\stackrel{b}{\downarrow }}{+45}t\stackrel{\stackrel{c}{\downarrow }}{-63.3}
~~~~~~
\stackrel{discriminant}{b^2-4ac}=
\begin{cases}
0&\textit{one solution}\\
positive&\textit{two solutions}\\
negative&\textit{no solution}
\end{cases}
\\\\\\
(45)^2-4(-9.8)(-63.3)\implies -456.36$

the discriminant is a negative value, thus no solution for such quadratic, meaning if we use h=64.5 like we did, there's no "t" seconds at which point the ball hits the batting cage.

8 0

3 years ago

A flowerpot has a diameter of 15 centimeters. Which expression can be used to find its circumference, C, in centimeters?

Elena-2011 [213]

The answer is C because the formula is 2 x pai x radius

4 0

3 years ago

You buy 60 of your favorite songs from a Web site that charges $0.99 for each song. What is the cost of 60 songs? Use mental m

castortr0y [4]

Answer:

$59.4

Step-by-step explanation:

Round up: 60*1 = $60. Everytime you add $0.99, you subtract off a penny, so you will subtract off 60 pennies. 60 cents from the original answer, so 60-0.6=59.4.

7 0

4 years ago

Ifm_2 = 68°, what is the measure of angle 7? 1 2. 3 5 7​

Ifm_2 = 68°, what is the measure of angle 7? 1 2. 3 5 7