All categories

4 years ago

In a right triangle, the measure of one acute angle is 26°. What is the measure of the other acute angle?

Mathematics

2 answers:

ale4655 [162]4 years ago

7 0

Answer:

The other acute angle is 64°

Step-by-step explanation:

Given a right triangle in which the measure of one acute angle is 26°

we have to find the measure of the other acute angle.

Let the required acute angle is x

By angle sum property, the sum of all angles of triangle is 180°

$x^{\circ}+26^{\circ}+90^{\circ}=180^{\circ}$

$x^{\circ}+116^{\circ}=180^{\circ}$

$x^{\circ}=180^{\circ}-116^{\circ}$

$x^{\circ}=64^{\circ}$

Hence, the other acute angle is 64°

miss Akunina [59]4 years ago

4 0

Sum of angles in a triangle = 180
180-90-26
=64

You might be interested in

The hart family drove 10 hours to their vacation spot. they drove an average of 48 miles each hour. how miles did they drive in

tankabanditka [31]

Distance = Average speed * Time = 48*10 = 480 miles

So, they drove for 480 miles

8 0

4 years ago

Read 2 more answers

A restaurant is preparing for a large barbeque cook out. The restaurant is planning to cook briskets that are 5 lb each and hamb

SVEN [57.7K]

The inequality that can be used to represents all possible combinations of x, the number of hamburgers and y, the number of briskets that will be cooked is 5y + 0.25x ≤ 150

Given:

pounds of brisket = 5 lb

Pounds of hamburger = 0.25 lb

Total pounds of briskets and hamburgers = no more than 150 lb

number of hamburgers = x

number of briskets = y

No more than in inequality = (≤)

The inequality:

5y + 0.25x ≤ 150

Therefore, inequality that can be used to represents all possible combinations of x, the number of hamburgers and y, the number of briskets that will be cooked is 5y + 0.25x ≤ 150

Learn more about inequality:

brainly.com/question/18881247

7 0

2 years ago

Which set of ordered pairs could be generated by an exponential function?

klemol [59]

Answer: Third option.

Step-by-step explanation:

By definition, Exponential functions have the following form:

$y = ab^x$

Where "b" is the base ( $b > 0$ and $b\neq 1$ ), "a" is a coefficient ( $a\neq 0$ ) and "x" is the exponent.

It is importat to remember that the "Zero exponent rule" states that any base with an exponent of 0 is equal to 1.

Then, for an input value 0 ( $x=0$ ) the output value (value of "y") of the set of ordered pairs that could be generated by an exponential function must be 1 ( $y=1$ ).

You can observe in the Third option shown in the image that when $x=0$ , $y=1$

Therefore, the set of ordered pairs that could be generated by an exponential function is the set shown in the Third option.

4 0

3 years ago

Read 2 more answers

Suppose that each semester at a particular community college Manuel has to pay $1478 in tuition and $121 in fees.

Kamila [148]

Answer:

Step-by-step explanation:

Let x be time, in semesters, remaining before Manuel graduates. We find that Manuel's expenses are:

$1478/semester in tuition, and

$121/semester in fees

1. x semesters remaining: fees

Remaining cost for fees, y, is the product of the fee times the number of semesters, x:

y =($121/semester)*x

y = ($121)*x

2. x semesters remaining: tuition

Remaining cost, y, is the product of the tuition (times the number of semesters, x.

y = ($1478/semester)*x + ($121/semester)*x

y = ($1599)*x

3. x semesters remaining: tuition and fees

Remaining cost, y, is the sum of the products of the tuition (times the number of semesters, and the fees (tix.

y = ($1478/semester)*x + ($121/semester)*x

y = ($1599)*x

5 0

1 year ago

What is an algebraic expression for "21 more than n"?

stealth61 [152]

Answer:

Step-by-step explanation:

n+21

3 0

3 years ago