One of the acute angles of a right-angled triangle is 16 degrees larger than the other. How many degrees are there in each of the acute angles?

Please answer using a linear equation.​

Answers

Answer 1

Answer:

30 & 60°

Step-by-step explanation:

2x + X + 90 = 180

3x = 90

X = 30°

so the accute angles are 30° and 60°


Related Questions

14. Which is a true statement if Line XY is tangent to Circle P?

a. ab=bc
b. a^2 = bc
c. a = bc
d. a^2 = 5(b + c)​

Answers

Answer:

d. [tex]a^2 =b(b+c)[/tex]

Step-by-step explanation:

Option d is the correct answer.

A pane of antique glass has dimensions of 30cm x 56cm. If the glass sells for 25 cents per square cm, what is the cost of the pane?

Answers

Given :-

Dimensions of pane is 30cm×56cmCost of pane per square cm is 25 cents

To find :-

Cost of the pane

Solution:-

Hey mate , to find the total cost of pane we have to find the area of pane and multiply it by 25 cents

Area of pane :- 30×56cm²

Area of pane :- 1680cm²

Cost of pane :- 1860×25 cents

Cost of pane :- 42000 cents or 420$

is -0.25 rattional or irrational

Answers

The answer is rational

- On her first three quizzes Jenna averaged 8 correct answers. On the next two quizzes she averaged 9 correct answers. What decimal number shows Jenna's average score on all five quizzes?​

Answers

Answer:

8.4

Step-by-step explanation:

Add 8+8+8+9+9=42 then 42/5 equals 8.4

Hope this helps! ;-)

Mary has 6 blouses, 5 skirts and 4 belts. How many outfits can she make, consisting of a blouse, a skirt and a belt?

Answers

Answer:

120

Step-by-step explanation:

Use the counting principle.

6 × 5 × 4 = 120

Answer: 120

what is the slope of the line that passes through the point (9,4) and (3,9)?​

Answers

Step-by-step explanation:

m is for slope of the line that passes through

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex]m = \frac{9 - 4}{3 - 9} [/tex]

[tex]m = \frac{5}{ - 6} = - \frac{5}{6} [/tex]

On a scale drawing, 9 inches
represents 11 miles. How many
inches represent 55 miles?

Answers

Answer: you will get 45

Step-by-step explanation:

If you do 9x5=45 and 11x5=55

So the answer would be 45

a number minus 4 is less than thirteen

Answers

I would think that for it to be less then thirteen it would either be 12 or 11

NEED THIS TOO GRADUATE PLS HELP
5x - 3y = 16
4x - 2y = 14

The system when solved is

(-3, -13)
(-5, 17)
(5, -3)
(5, 3)

Answers

the answer is 5,-3
how: because there arnt like terms in the two equations you find which number you can military to the equations to make one of the numbers the same. in this case i multiplied the top equation by -2y from the bottom equation (5x-3y=16)^-2 then multiplied the bottom equation by 3y (4x-2y=14)^-3 both equations multiplied are (-10x+6y=-32) and (-12x+6y=-42) now that we have two of the same terms (6y) they are the same signs (both positive) so we switch the sign on the bottom equation. (12x-6y=42) and because there the same we subtract the equations. (-10x+6y=-32) - (12x-6y=42)= 2x=10. the y cancels out. and now we divide 2 by 2x and that leaves x then we divide 2 by 10 =5 so your x=5 to find y we take any ORIGINAL equation im using (4x-2y=14) we use our x and replace 4x to 4(5)=20x making our new equation (20x-2y=14) we subtract -20 to 20 . cancels out 20 and leaves us with 2y=14 then subtract 20 it to 14. which gives us -6 (-2y=-6)
divide -2y by -2 which gives us y alone. then divide -2 by 6 gives -3. (y=-3) making (5,-3) your answer.

A committee must be formed with 4 teachers and 7 students. If there are 9 teachers to choose from, and 8 students, how many different ways could the committee be made?

Answers

Adaptations as compromises Adaptations can so
as compromises. One example of an adaptive con
bear's "thumb.' Modern pandas have five digits th
and a sixth digit that functions like a thumb. This
bone. Ancestral pandas with bigger wrist bones hac
ing and eating their food. Over time, this adaptati

Please Help with this...

Answers

Answer: 3

Step-by-step explanation:

Choosing a Nonexample
Quick
Check
Which solid is not a pyramid?
ΑΔΑ
A

Answers

I believe the green one bc it doesn't go into a point from all angles

WILL GIVE BRAINLIEST 25 POINTS
Congruent?
If so, what property?

Answers

Answer:

Yes, by ASA congruence.

Step-by-step explanation:

Solving :

∠DAB = ∠BCD  (indicated in diagram)∠ADB = ∠DBC (indicated in diagram)BD = BD (common side)ΔABD ≅ ΔCDB

Hence, as 2 angles and a side of the triangles are equal, we can say they are congruent by ASA congruence.

[tex]\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Let's check if the two triangles are } [/tex][tex] \textbf{congruent} [/tex] ~

[tex] \large\textsf{Given information } [/tex]:

[tex] \textsf{Two angles of a triangle is equal to corresponding} [/tex] [tex] \textsf{two angles of another triangle, and they} [/tex][tex] \textsf{have one side in common (should be equal} [/tex][tex] \textsf{for both) } [/tex]

[tex] \textsf{So, after analyzing this information, we can } [/tex][tex] \textsf{conclude that the two triangles are congruent by} [/tex][tex] \textsf{AAS congruency criteria.} [/tex]

[tex] \texttt{[ since two angles are equal and one} [/tex][tex] \texttt{non included side is common/equal ]} [/tex]

Avani misses 5% of the free throws she attempts in a season. How many total free throws did she attempt if she missed 4?

Answers

Answer:

She had a total of 80 throws.

Step-by-step explanation:

4x20 (20x5%=100%) = 80, so she had 80 throws.

What's the distance between (0,2) and (0,8)?

Answers

Answer:

6 units

Step-by-step explanation:

The distance between two points can be calculated with the formula

[tex]\boxed{\textcolor{steelblue}{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}[/tex]

However, since (0, 2) and (0, 8) have the same x coordinate of 0, the distance between them is the difference in their y-coordinates.

Distance between (0, 2) and (0, 8)

= 8 -2

= 6 units

In a cafe, there are 5 women, 4 men, and 2 employees. Write the following reports:
a) between women and men
b) between men and employees
c) between customers and employees
d) between women and the total number of people in the cafe
e) between men, employees and women

Answers

It’s E between men, employees and women because it’s separating them!

what two numbers have a sum of 4 and product of 24

Answers

Answer:

There isnt a whole number to awser this

Step-by-step explanation:

How do I solve this with a fraction?

Answers

Answer:

75°

Step-by-step explanation:

x° and (x/5)° are complementary angles.

-> x° + (x/5)° = 90°

-> (6x/5)° = 90°

-> x° = 90° * 5/6

-> x° = 75°

Answer:

x = 90

Step-by-step explanation:

[tex]m\angle 1+m\angle 2=90[/tex]

[tex]\Longleftrightarrow x+\frac{x}{5} =90[/tex]

[tex]\Longleftrightarrow \frac{6x}{5} =90[/tex]

[tex]\Longleftrightarrow x=\frac{5\times 90}{6} =\frac{450}{6} = 75[/tex]

3. x² +(y + 2)2 = 64
Center:

Radius:

Answers

Answer:

Center: (0, -2)

radius: 8

Explanation:

Given equation: x² + (y + 2)² = 64

The Circle Formula:

(x - h)² + (y - k)² = r²

where (h, k) are points of center. r denotes radius

So rewrite the equation in circle formula:

x² +(y + 2)² = 64

(x- 0)² +(y + 2)² = 8²

Identify followings:

h = 0, k = -2, radius = 8

A pound of grapes costs $2.49. Lucas bought two pounds of grapes. He gave the clerk a $10.00 bill. How much change did Lucas get?​

Answers

Answer:

$5.02

Step-by-step explanation:

$2.49 × 2 = $4.98

$10 - $4.98 = $5.02

What is the solution to the equation below?

Answers

Answer:

X=4

Step-by-step explanation:

The solution is in the file

Answer: x = 4
Explanation: Determine the defined range. Write the number in exponential form with the base of 2. Use log a y (a^x) = x/y to simplify the expression.
Add fractions. Divide by both sides by 3. Convert the logarithm into exponential form.

A rectangle has a width that measures 11 in. and a length that measures 5.5 in.
Determine the area of the rectangle.

Answers

The formula to find the area of a rectangle is A = wl.

A = (11)(5.5)
A = 60.5

The area of the rectangle is 60.5 inches squared.

Answer: 60.5 in

Step-by-step explanation:

Area of rectangle = length times width

Length = 5.5 in

Width = 11 in

11 x 5.5 = 60.5

The area of the rectangle is 60.5 in

hi! how do i do this? the answer is 2k

Answers

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

[tex] log_{4}x = k \\ \\ \longrightarrow \: log_{4}x = log_{2 {}^{2} }x \\ \\ \longrightarrow \: 2 log_{2}x \\ \\ now , \\ \\ log_{2}x = k \\ \\ \therefore \: 2( log_{2}x) = 2(k) \\ \\ \longrightarrow \: 2k[/tex]

hope helpful ~

3x+4=25 what does x stand for

Answers

Answer:

X=7

Step-by-step explanation:

3x+4=25 (Subtract 4 on both sides)

3x=21 (Divide by 3 on both sides)

x=7

Answer: x is a variable and the number the variable is standing for is 7

Step-by-step explanation:

3x7=21 .. 21+4=25

a=2,b=1 and c=4.What is 3ac-a+2b

Answers

Step-by-step explanation:

a = 2

b = 1

c = 4

Question:

[tex]3ac - a + 2b[/tex]

= Solution ,

= 3 × 2 × 4 - 2 + 2 × 1

= 24 - 2 + 2

= 24 + 2 - 2

= 26 - 2

= 24

hence the answer is 24....

The difference between a number and seven is less than or equal to -3. Find the possible numbers. n ≤ 4 n ≥ 4 n ≤ -10 n ≥ -10

Answers

Answer:

n ≤ 4

Step-by-step explanation:

"The difference between a number and seven is less than or equal to -3" can be written as n-7 ≤ -3

n-7 ≤ -3

Add 7 to both sides

n ≤ 4

Answer is n ≤ 4


See picture attached for the math

Please help I will give you so much points

Answers

Answer:

∠[tex]DEC[/tex]

Step-by-step explanation:

vertical angles are opposite angles that are made by 2 intersecting lines


Which is an example of an isosceles right triangle?

Answers

Answer:

D.

Step-by-step explanation:

An isosceles triangle is a triangle with 2 equal sides (2 sides with the same length)

1. Suppose that the time required to drive across town is uniformly distributed between 12 and 20 minutes. What is the simulated (average)
time to cross town using the following random numbers: 0.21 0.53 0.05 0.89 015 0.73 0.06 0.28 0.81 0.74 (rounded to 2 decimal place)

Answers

Using the mean concept, it is found that the simulated average time to cross town is of 0.445.

What is the mean?

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

In this problem, the 10 values of the simulation are given by:

0.21 0.53 0.05 0.89 0.15 0.73 0.06 0.28 0.81 0.74

Hence, the mean is given by:

M = (0.21 + 0.53 + 0.05 + 0.89 + 0.15 + 0.73 + 0.06 + 0.28 + 0.81 + 0.74)/10 = 0.445.

More can be learned about the mean concept at https://brainly.com/question/24628525

#SPJ1

According to the fundamental theorem of algebra, which polynomial function has exactly 6 roots? f (x) = 5 x superscript 4 baseline 10 x squared 2 f (x) = 5 x superscript 5 baseline 3 x superscript 4 baseline 12 x cubed 7 x squared minus 2 x 15 f (x) = 6 x superscript 5 baseline x cubed minus 4 x squared x minus 5 f (x) = 7 x superscript 6 baseline 3 x cubed 12

Answers

The polynomial function has exactly 6 roots is f(x) = 7x⁶ + 3x³ + 12. Then the correct option is D.

What is Algebra?

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

According to the fundamental theorem of algebra.

The polynomial function has only exactly 6 roots.

The roots are the value of the variables in the polynomial at which the value of the polynomial is zero.

If the degree of the variable is n then the number of the roots will be n or less than n.

If the number of the roots are 6, then the degree of the variable will be 6 in the polynomial.

Then the polynomial function has exactly 6 roots is f(x) = 7x⁶ + 3x³ + 12.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

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