An isosceles triangle has an angle that measures 38degrees. What measures are possible for the other two angles? Choose all that apply.

Answers

Answer 1

Answer:

71° and 71°.

Step-by-step explanation:

The triangle having two sides equal along with one different side is called an isosceles triangle.

So, Let us assume the other sides (two equal sides) of the isosceles triangle as x. As the different side is already given in the question.

We know that,

The sum of all angles of a triangle is 180°

So, According to the question :

[tex]{\longrightarrow \it\qquad { \ { { 38 \: }^{ \circ} + x + x = 180{}^{ \circ} }}}[/tex]

[tex]{\longrightarrow \it\qquad { \ { { 38 \: }^{ \circ} + 2x = 180{}^{ \circ} }}}[/tex]

[tex]{\longrightarrow \it\qquad { \ { 2x = 180{}^{ \circ} - { 38 \: }^{ \circ}}}}[/tex]

[tex]{\longrightarrow \it\qquad { \ { 2x = 142{}^{ \circ} }}}[/tex]

[tex]{\longrightarrow \it\qquad { \ { x = \dfrac{142{}^{ \circ}}{2} }}}[/tex]

[tex]{\longrightarrow \it\qquad { \pmb { x = 71^{ \circ} }}}[/tex]

Therefore,

The measure of the two other angles of the isosceles triangle are 71° and 71°.

Related Questions

∠C and ∠D are complementary.

Let m∠C=(8x)° and m∠D=(5x−1)°.

What is the value of x?

Enter your answer in the box.

x =

Answers

Answer:

x = 7

Step-by-step explanation:

Complementary angles are angles that add up to 90°.

We have C and D as complementary.

Their sum is:

m∠C + m∠D = 90

Substitute values and solve for x:

8x + 5x - 1 = 9013x = 90 + 113x = 91x = 91/13x = 7

Answer:

x = 7

Step-by-step explanation:

Complementary angles are two angles that sum up to 90°. In this case, we are given that ∠C and ∠D are complementary. This means that the sum of ∠C and ∠D is equivalent to 90°.

⇒ ∠C + ∠D = 90°

⇒ 8x + 5x - 1 = 90°                                                          [∠C = 8x; ∠D = 5x - 1]

⇒ 13x - 1 = 90°

⇒ 13x = 90 + 1

⇒ 13x = 91

⇒ 13x/13 = 91/13

x = 91/13 = 7

There are 63 female performers in a dance recital. the ratio of men to women is 5:9. how many men are in the dance recital?

Answers

In d ratio 5:9 which equals 5+9=14
the total female performers is 63
For men = 5/14*63=5/2*9
=45/2 =22.5
The men would be about 22.5 in the dance recital

A bank is offering 2.5% simple interest on a savings account. if you deposit $5000,how much interest will you earn in one year?​

Answers

Answer:

$125 you will end up w/ $5125

Step-by-step explanation:

The number of calories consumed in an oreo cookie is directly proportional

Answers

Yes this isn’t really a question but every Oreo has the same number of calories making it proportional

Find base of triangle on coodinate plane 8,2 and 6,2

Answers

Answer:

The base of this triangle is 2 units wide

Step-by-step explanation:

Your explanation is in the picture shown below!!!

No links no files, please help! I'll give brainest!

Answers

Answer:

A = 35 units²

Step-by-step explanation:

Calculate the area of the larger and smaller rectangle and subtract the smaller from the larger.

The formula of an area of a rectangle a x b:

A = a · b

Smaller rectangle 5 x 7:

As = 5 · 7 = 35

Larger rectangle (2 + 5) x (7 + 3) → 7 x 10:

Al = 7 · 10 = 70

The area of the shaded region:

A = Al - As

substitute:

A = 70 - 35 = 35

Write an expression equivalent to 6 — 2.2 +5+ 4. that only has two
terms.

Answers

Answer:

3.8 + 9?

Step-by-step explanation:

Inscribed angle
Help please

Answers

Answer:

x = 3

Step-by-step explanation:

The measure of the inscribed angle is half of measure of the intercepted arc .

Find the half of 192.

192/2 = 96

The inscribed angle is 96°.

Create an equation and solve for x.

31x + 3 = 96

31x + 3 - 3 = 96 - 3

31X = 93

31x/31 = 93/31

x = 3

Find the volume of the solid. Use 3.14 for π.​

Answers

Answer:

vol= 10366.3175in²

Step-by-step explanation:

So this is a cylinder

formula: π r²h

R= 8.75in

h=43.12in

So it will be = 3.14x8.75²x43.12

=> 3.14x76.5625x43.12

3.14x 3301.375

10366.3175in²

i think it is correct

.

stay safe

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have a nice TIME

Simplify.

2 × (3 – 1) + 3

Answers

Answer:

7

Step-by-step explanation:

do what is in the parenthesis first then multiply then add

can you help me figure this out?

Answers

Answer:

  D.  $8 per hour

Step-by-step explanation:

The rate of pay is found by dividing the pay by the number of hours it is for.

  $40/(5 h) = $8/h

The worker gets paid $8 per hour.

can you help me pls? i need it

Answers

Answer:

$168.75

Step-by-step explanation:

In the morning you'll have a time of about 4 hours.

In the afternoon you'll have 8.5 hours.

You take these and add them together 4 + 8.5 = 12.5

Then you take your sum and multiply it by the wage you make per hour 13.50 x 12.5 = $168.75

simplify (3a^2-6a+3)/(a^2-1) if a is not 1

Answers

[tex]\dfrac{3a^2-6a+3}{a^2-1}\\\\=\dfrac{3(a^2 -2a+1)}{(a+1)(a-1)}\\\\=\dfrac{3(a-1)^2}{(a+1)(a-1)}\\\\=\dfrac{3(a-1)}{a+1}\\\\=\dfrac{3a-3}{a+1} ~~~\text{for}~ a\neq 1[/tex]

x + y = 5 2x - y = 1 substitution method

Answers

[tex]x+y = 5~~...(i)\\\\2x-y = 1~~...(ii)\\\\\text{From (i):}\\\\x+y = 5\\\\\implies x = 5-y~~~.....(iii)\\\\\text{Substitute equation (iii) in equation (ii):}\\ \\2(5-y)-y = 1\\\\\implies 10 - 2y -y = 1\\\\\implies 3y = 9\\\\\implies y = \dfrac 93 = 3\\\\\text{Substitute y= 3 in equation (iii):}\\\\x= 5-3 = 2\\\\\text{Hence,}~ (x,y) = (2,3)[/tex]

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(2,3)

Equation Form:

x = 2, y = 3

Step-by-step explanation:

How may you rethink the way you choose people in a group? No links please or I will report you. The best explanation gets Brainliest!

Answers

Step-by-step explanation:

How to rethink the way you choose people in a group is to figure out if they like you or not. Don't chose people that do not like you because they will not work well with you. Pick the people you feel will help you succeed in the group. And sometimes the people you pick in your group aren't even your friend, but they can help you succeed by staying on task and focusing on the task at hand.

change 1.77 tones to kilograms

Answers

Answer:

1.77 Tones = 1770 Kilograms

Step-by-step explanation:

Multiply the value of the tone by 1000 to get KG

1.77 x 1000 = 1770

1770 kilograms
Multiply the mass value by 1000

pls help with this Its on ixl

Answers

Answer:

142 cm squared

Step-by-step explanation:

the formula used was 2(lw + wh +lh)

where l is length

w is width

and h is height

Answer:

142

Step-by-step explanation:

5 x 3 = 15 Times by 2 = 30

7 x 5 = 35 Times by 2 = 70

7 x 3 = 21 Times by 2 = 42

The question is in the attachment.

Answers

Answer:

0.0816

Step-by-step explanation:

Given:

Total number of students = 5000Number of students taking an online class = 1200Number of students prefer watching baseball to football = 1700

Let O = Students taking an online class

Let B = Students prefer watching baseball to football

Therefore,

P(O) = 1200/5000 = 0.24

P(B) = 1700/5000 = 0.34

If events O and B are independent,

⇒ P(O ∩ B) = P(O) · P(B)

                   = 0.24 × 0.34

                   = 0.0816

what is a pair lines that are parallel​

Answers

Answer:

The pairs of lines that do not intersect or meet at any point are called parallel lines. These lines lie on the same plane but do not intersect. The line segments or rays that lie on the same plane but do not intersect are also parallel.

Step-by-step explanation:

Answer

A parallel line is a position of two lines on a plane that does not have a point of intersection even though the two lines are extended.Geometrically, parallel lines will never meet each other because they have the same slope (gradient). Parallel lines do not have to be the same length

Select the expression equivalent to (4.5x + 3.1) - (-3x - 5).
a
7.5x + 1.9
b
7.5x - 1.9
7.5x + 8.1
d.
7.7x - 1.9

Answers

Answer:

Option C :- 7.5x + 8.1

Step-by-step explanation:

Let's simplify step-by-step.

4.5x+3.1−(−3x−5)

Distribute the Negative Sign:

=4.5x+3.1+−1(−3x−5)

=4.5x+3.1+−1(−3x)+(−1)(−5)

=4.5x+3.1+3x+5

Combine Like Terms:

=4.5x+3.1+3x+5

=(4.5x+3x)+(3.1+5)

=7.5x+8.1

Answer:

=7.5x+8.1

The radius of a circle is 14 feet. What is the area of the circle?

87.92 ft 2
615.44 ft 2
153.86 ft 2
1,230.44 ft 2

Answers

Answer:

615.44 ft 2

Step-by-step explanation:

radius times radius times 3.14(pie)

Answer:

Area of circle = pie r²

22/7×14²

616,,

According to me

Solve for X. Leave your answer in the simplest radical form.
Image down below!
Someone please help me with this, I’ll give you brainlist and points!

Answers

Apply Pythagorean theorem

P²=10²-4²P²=100-16P²=84p=2√21

Again

x²=84-8²x²=84-64x²=20x≈√20=√4×5=2√5

Answer:

2√5

Step-by-step explanation:

The given pyramid is composed of two right angle triangles. Notice the triangles of the pyramid share a common side. With the help of it, we can figure out x

recall Pythagoras theorem

[tex] {a}^{2} + { b }^{2} = {c}^{2} [/tex]

Case-1: Finding the opposite side

here,

a=4c=10

To find:

b

now plug in the value of a and c in the formula respectively:

[tex] {4}^{2} + { b }^{2} = {10}^{2} \\ \implies {b}^{2} = {10}^{2} - {4}^{2} \\ \implies {b}^{2} = 84 \\ \implies \boxed{ b_{1} = 2\sqrt{21}}[/tex]

Case-2: Finding x

here,

[tex]b_1 \implies c=2\sqrt{21}[/tex]b=8a[tex]\implies[/tex] x

Utilizing Pythagoras theorem yields:

[tex] {x}^{2} + { 8}^{2} = {(2\sqrt{21})}^{2} \\ \implies {x}^{2} = {(2\sqrt{21})}^{2} - {8}^{2} \\ \implies {x}^{2} = 20\\ \implies \boxed{ x= 2\sqrt{5}}[/tex]

and we're done!

Tony is working on an arithmetic sequence where t(1) =4 and t(8) =67 Write the explicit equation and recursive equation for this sequence. Is 500 a term of the sequence? Explain why or why not.

Answers

Assuming t(1) is our first term, we can say:

t(2)=t(1)+dt(3)=t(2)+dt(4)=t(3)+d

This can go on forever, we can then establish the recursive formula which states:

t(n+1)=t(n)+dort(n)=t(n-1)+d

Explicit formula:

t(2)=t(1)+d

t(3)=t(2)+d, but t(2)=t(1)+d

t(3)=t(1)+d+d

t(3)=t(1)+2d

t(4)=t(1)+3d

t(n)=t(1)+(n-1)d

We can calculate d for these equations:

t(8)=t(1)+7d67=4+7d7d=63d=9

Explicit relation:t(n)=4+9(n-1)t(n)=9n-5

Recursive relation:

t(n)=t(n-1)+9

t(500)=9(500)-5=4500-5=4495

Which of the following linear equations represents the data chart?

Answers

Answer:

option C

Step-by-step explanation:

y = -x + 7

Hope this helps you

Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answers:

1) [tex]\sf \boxed{1} \ x^2 + \boxed{2} \ x -24[/tex]

2) [tex]\sf \boxed{2} \ x^2+ \boxed{-1} \ x-15[/tex]

3) [tex]\sf \boxed{6} \ x^2+\boxed{19} \ x+10[/tex]

4) [tex]\sf \boxed{2} \ x^2+\boxed{-11} \ x+5[/tex]

solving step wise:

1)

(x+6)(x-4)x² + 6(x) -4(x) -24x² + 2(x) - 24

2)

(2(x)+5)(x-3)2(x)² - 6(x)+5(x)-152(x)² - x - 15

3)

(3(x)+2)(2(x)+5)6(x)²+15(x)+4(x)+106(x)² + 19(x)+10

4)

(2(x)-1)(x-5)2(x)² -10(x)-x+52(x)² -11(x)+5

#1

(x+6)(x-4)x(x-4)+6(x-4)x^2-4x+6x-24x^2+2x-24

#2

(2x+5)(x-3)2x(x-3)+5(x-3)2x^2-6x+5x-152x^2-x-15

#3

(3x+2)(2x+5)3x(2x+5)+2(2x+5)6x^2+15x+4x+106x^2+19x+10

#4

(2x-1)(x-5)2x(x-5)-1(x-5)2x^2-10x-x+52x^2-11x+5

What value of c makes the polynomial below a perfect square?

Answers

Answer:

B

Step-by-step explanation:

x² + 9x

to complete the square

add ( half the coefficient of the x- term )² to x² + 9x

= x² + 2([tex]\frac{9}{2}[/tex] )x + ([tex]\frac{9}{2}[/tex] )²

= x² + 9x + [tex]\frac{81}{4}[/tex] ← the value of c

= (x + [tex]\frac{9}{2}[/tex] )² ← a perfect square

81/4
Because I found the answer by using a Calculator I found online

2x = 37 find solve of x

Answers

Answer:

18.5

Step-by-step explanation:

37 divided by 2 is 18.5

2. Jada fills her aquarium with water.

The graph shows the height of the water, in cm, in the aquarium as a function of time in minutes. Invent a story of how Jada fills the aquarium that fits the graph.

Answers

Answer:

Jada fills her aquarium with water at a constant rate of 5cm/minute for 2 minutes. She then stops the water from running for 1 minute. After that, she started to fill the aquarium at a constant rate of 10cm/minute for another 2 minutes. After 5 minutes, she reduces the water running at a rate of 5cm for 2 minutes. After 7 minutes, she turns off the water and the water is at 25cm.

Find+the+z-scores+that+separate+the+middle+69%+of+the+distribution+from+the+area+in+the+tails+of+the+standard+normal+distribution

Answers

Answer and Explanation:

1 - 0.69/ 2 = 0.155

0.155 = -1.02

(-1.02, 1.02) = z

The z -score separates the middle 69% of the distribution from the area in the tails of the standard normal distribution is  (-1.02, 1.02).

What is a z- score?

Z- score refers to how much a given value differs from the standard deviation.

The z -score separates the middle 69% of the distribution from the area in the tails of the standard normal distribution.

α = 1 - 0.69/ 2

α =  0.155

0.155 = -1.02

z = (-1.02, 1.02)

Learn more about standard deviation:

https://brainly.com/question/11448982

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When you use a (______________), you pay for your purchases later.
A credit card
B checking account
C deposit
D credit score

Answers

Answer:

A. credit card

Step-by-step explanation:

When using a credit card, the bank is paying for you. Overtime through bills you will pay that amount back usually with interest.

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