Answer:
m∠A = 115°
m∠C = 50°
Step-by-step explanation:
By triangle sum theorem,
Sum of measures of all interior angles of a triangles equals to 180°.
m∠A + m∠B + m∠C = 180°
By substituting the values of the angles from the given table,
(4x - 13) + 15 + (x + 18) = 180
(4x + x) + (-13 + 15 + 18) = 180
5x + 20 = 180
5x = 180 - 20
x = [tex]\frac{160}{5}[/tex]
x = 32
m∠A = (4x - 13)° = 4(32) - 13
= 115°
m∠C = (x + 18)° = 32 + 18
= 50°
Based on the properties of the internal angles in triangles, the measure of the angles A and C from the triangle ABC are equal to 115° and 50°, respectively. #SPJ5
What are the measures of the internal angles of the triangle ABC?According to geometry, triangles are figures formed by three sides and three internal angles and, likewise, the sum of the measures of the internal angles equals 180°. Based on the latter property, we should solve the following expression for x:
(4 · x - 13) + 15 + (x + 18) = 180
5 · x + 20 = 180
5 · x = 160
x = 32
Finally, the measure of the angles A and C from the triangle ABC are, respectively:
m ∠ A = 4 · 32 - 13 = 115°
m ∠ C = 32 + 18 = 50°
Based on the properties of the internal angles in triangles, the measure of the angles A and C from the triangle ABC are equal to 115° and 50°, respectively. #SPJ5
To learn more about triangles, we kindly invite to check this verified question: https://brainly.com/question/2773823 #SPJ5
A computer normally costs
$650, but it is on sale for
15% off. What is the sale
price of the computer?
Answer:
$552.50
Step-by-step explanation:
650×.15=97.5
650-97.5=552.5
Complete the steps to solve the equation 3x + 11 = 29.
Answer:
6
Step-by-step explanation:
3x+11 = 29
3x = 29 - 11 = 18
x = 18/3 = 6
Help me with this thing thanks anoarefi
Answer:
1. 8
2. 16
Step-by-step explanation:
8/4=2
64/4=16
Answer:
The answers are
1. x=8
2. x=16
Which option for college funding can parents start when children are still very young? College savings account scholarship work-study student loan
Answer:
Your answer would be A: "college savings account."
Step-by-step explanation:
Got it right on edge.
College savings account is the option for college funding can parents start when children are still very young
What is College funding?College financial aid pays for the difference between what a school costs to attend and the amount a family will pay from their own money.
We need to find Which option for college funding can parents start when children are still very young.
Among the two options we have to choose College savings account.
Through this savings plan, you can contribute more than a traditional savings plan and take out the money to pay for college-related expenses without any penalty or tax.
Hence College savings account option for college funding can parents start when children are still very young
To learn more on College funding click:
https://brainly.com/question/18614442
#SPJ6
Graph the line.
Y+4=1/5(x-1)
Answer:
graph the point (0, -5) and from that point go up 1 unit and to the right 5 units (5, -4) and plot that point; connect the two points
Step-by-step explanation:
A furniture store is getting ready for a big sale and marking all their prices down by 45%. If one of their items is regularlly priced at $375, what is the sale price?
Answer:
$206.25
Step-by-step explanation:
Regular price of item = R= $375
Price after 45% off = (1-0.45) x 375
=$ 206.25
How do the terms light, radiation, and waves relate to one another?
Does (2, 3) make the equation y = x true?
Answer:
No.
Step-by-step explanation:
If you substitute x = 2 and y = 3 into the equation, you get 3 = 2 which is not true.
pls answer asap pls pls
Answer:
A
Hindi po ako sigurado po ahhhh
Identify the correct Triangle Congruence Theorem that describes the figure below.
A. SSS
B. SAS
C. AAS
D. HL
E. ASA
[tex]\tt{PQ=TS }[/tex]
[tex]\tt{ PW=TW }[/tex]
[tex]\tt{ QW=SW }[/tex]
SO,
it is S-S-S
side-side-side
pls help me look at the screen shot below
Answer:
7241.25 mm squared
Step-by-step explanation:
The surface area of a cylinder is denoted by: , where r is the radius and h is the height.
Here, we know that the diameter is 39.2 mm, and since diameter is twice the radius, then r = d/2 = 39.2/2 = 19.6 mm. We also know that the height is 39.2 mm
using this formula for surface area of cyclinder: 2πrh+2π
diameter = 2r --> 39.2 = 2r
so r= 19.6
The answer is 7241.25 mm squared.
↓Practice Provided Below ↓
* URGENT * Given f(x) = 6(2-x), what is the value of f(-8)?
open ended question
Answer:
f(-8) = 60Step-by-step explanation:
When we are given a function in this format, we substitute the x value in the equation. F(x) is simply another way of saying y.
if x = -8
6 (2 - -8)
6(10)
60
f(-8) = 60
25
21
22
14
15
16
17
Overview
Suomt Ang
Question Progress
Homework Progress
32 / 114 Marks
Expand and simplify 4(2x - 1) + 3(2x + 5)
F
AB
Type here to search
Step-by-step explanation:
4(2x-1)+3(2x+5)
8x-4+6x+15
8x+6x-4+15
14x+11
Answer:
14x +11
Step-by-step explanation:
4(2x-1)+3(2x+5)=8x-4+6x+15
=14x+11
A right rectangular prism has edge lengths of 1 1/3 inches, 2 inches, and 1 2/3 inches. What is the volume of the prism?
Answer:
264/9 = 29.34
Step-by-step explanation:
(11/3)*(12/3)*2
Answer:
29.34
Step-by-step explanation:
another oneee thanks strangers
Answer:
*8
Step-by-step explanation:
6.75*8=54
Answer:
8
Step-by-step explanation:
..…..............…...
Determine which quadrilaterals match the figure parallelogram, rhombus, rectangle, or square? Select all
that apply.
X
W
Z
Given: m 2WXY = 130°,m XWZ = 50°, ZWZY = 130°
A
parallelogram
B.
rectangle
C
square
D
rhombus
Answer:
(A) Parallelogram is the right answer.
Jorge Claims that the distance between his house and the library is 13 miles. His city is placed on a coordinate plane. Jorge's House is at the coordinates (5, 1), the mall is at coordinates (2, 11) and hte Library is at cordinates (10, 13). What equation verifies his claim?
Answer:
House coordinate = (5, 1)
Library coordinate = (10, 13)
Step-by-step explanation:
Given :
House coordinate = (5, 1)
Library coordinate = (10, 13)
Distance between house snd library :
Distance = sqrt[(x2 - x1)² + (y2 - y1)]
x1 = 5, x2 = 10, y1 = 1, y2 = 13
Distance = sqrt[(10 - 5)² + (13 - 1)²]
Distance = sqrt[(5² + 12²)]
Distance = sqrt(25 +144)
Distance = sqrt(169)
Distance = 13
Which of these best describes rt?
A) The square root of the area of a circle
B) The ratio of the radius of a circle to its diameter
C) The radius of a circle times 3.14
D) The ratio of the circumference of a circle to its diameter
Answer:
uhhhh... i thinks its D or A
I WILL GIVE BRAINLIEST
What is 10,000,000 written as a power of 10?
710
810
107
108
Answer:
[tex]10^7[/tex]
Step-by-step explanation:
There are [tex]7[/tex] zeroes in the number [tex]10,000,000[/tex]. Therefore, [tex]10,000,000[/tex] can be written as [tex]\fbox{$10^7$}[/tex].
*Any number written as [tex]10^n[/tex] will be equal to [tex]1[/tex] followed by [tex]n[/tex] zeroes.
Answer:10^7
Step-by-step explanation:
Find the product
(4)(-11) =
Answer:
4 X -11
-44
plz mark as brainliest
Answer:
-44
Step-by-step explanation:
Basically It's like 4x11, but you put a negative sign.
Justin has $57.18 in his checking account. He deposits his paycheck of $256.79. He then buys $68.42 in groceries, $50.00 in gas, and 2 movies for $15.58 each. What is the new balance in Justin’s checking account?
Suppose you invest $2000 at a rate of 3.25% continuously, determine the worth of the investment after 10 years.
Answer:
$2650
Step-by-step explanation:
= 2000 × 0.0325 × 10 = 650
= $ 650.00
Val is in a race that has a 2 10-mile swim and a 26 10-mile run. How far does Val
swim and run altogether?
28 miles
28 miles
28 miles
29 miles
Step-by-step explanation:
bdhdhjndnfdndnnskdkdkskdkdkd
The slope formula can be used to find the slope, m, of a line with points (L1, y1) and (22, 42).
Y2 - Yi
22 - 21
m
Which is an equivalent equation?
O Y1 = -m (22 – x1) + y2
yı = -m (x2 – 21) – Y2
Oyı = m (22 – 21) + y2
Oyı = m (22 – 21) – Y2
Answer: [tex](y-y_1)=m(x-x_1)\ or \ (y-y_2)=m(y-y_2)[/tex]
Step-by-step explanation:
Point slope form: [tex](y-b)=n(x-a)[/tex] , where n=slope , (a,b) is the point through which line passes.
If slope of the line = m and line passes through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] :-
[tex](y-y_1)=m(x-x_1)\ or \ (y-y_2)=m(y-y_2)[/tex]
So, the equivalent equations are :
[tex](y-y_1)=m(x-x_1)\ or \ (y-y_2)=m(y-y_2)[/tex]
Determine the zeros of f(x) = 3x^2 – 10x – 8. (List them in
order from least to greatest, separated by commas. Enter any
fractions as a/b.)
Answer: The zeroes are -2/3 and 4
Step-by-step explanation: The factored form you get from this is (3x+2) and (x-4), set these equal to 0. x-4=0 and 3x+2=0.
The zeroes of the function in the order from least to greatest will be - 2/3 and 4.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The equation is given below.
f(x) = 3x² – 10x – 8
Then the zeroes of the function are given as,
f(x) = 0
3x² – 10x – 8 = 0
3x² – 12x + 2x – 8 = 0
3x(x – 4) + 2(x – 4) = 0
(x – 4)(3x + 2) = 0
x = 4, - 2/3
The zeroes of the function in the order from least to greatest will be - 2/3 and 4.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
[tex] \underline{ \underline{ \text{Question}}} : [/tex]
In the adjoining figure , ABC is an isosceles triangle. BO and CO are the bisectors of [tex] \angle[/tex] ABC and [tex] \angle[/tex] ACB respectively. Prove that BOC is an isosceles triangle.
~Thanks in advance !
Here it's given that ∆ABC is a isosceles triangle. We know that in a isosceles triangle opposite angles are equal. And the angles opposite to equal sides are also equal.
Hence here ,
AB = AC ∠ ABC = ∠ACB .Figure :-
[tex] \setlength{\unitlength}{1 cm}\begin{picture}(12,12)\put(0,0){\line(1,0){4}}\put(4,0){\line(-1,2){2}}\put(0,0.001){\line(1,2){2}}\put(0,0.01){\line(1,1){2}}\put(3.99,0){\line(-1,1){2}}\put(0,-0.3){$\bf B $}\put(4,-0.3){$\bf C$}\put(2,4.2){$\bf A$}
\put(1.8,2.2){$\bf o$}\end{picture}[/tex]
If LaTeX doesn't work on app kindly see the attachment .
Here we will use a theorem which is ,
[tex]\large\underline{\underline{\textsf{\textbf{\red{\blue{$\leadsto$} Theorem :- }}}}}[/tex]
Sides opposite to equal angles are equal.Hence here,
[tex]\tt:\implies \angle ABC =\angle ACB \\\\\tt:\implies \dfrac{1}{2}\times \angle ABC = \dfrac{1}{2}\times \angle ACB \\\\\tt:\implies \boxed{\bf \blue{\angle OBC = \angle OCB} }[/tex]
Now in ∆OBC , we can see that ∠OBC = ∠OCB. (just proved ) . Hence we can say that sides OB and OC are equal. Since the sides opposite to equal angles are equal. Therefore in ∆OBC , two sides are equal.
Therefore ∆ OBC is an isosceles triangle.
Hence Proved !Answer:
See Below.
Step-by-step explanation:
We are given the isosceles triangle ΔABC. By the definition of isosceles triangles, this means that ∠ABC = ∠ACB.
Segments BO and CO bisects ∠ABC and ∠ACB.
And we want to prove that ΔBOC is an isosceles triangle.
Since BO and CO are the angle bisectors of ∠ABC and ∠ACB, respectively, it means that ∠ABO = ∠CBO and ∠ACO = ∠BCO.
And since ∠ABC = ∠ACB, this implies that:
∠ABO = ∠CBO =∠ACO = ∠BCO.
This is shown in the figure as each angle having only one tick mark, meaning that they are congruent.
So, we know that:
[tex]\angle ABC=\angle ACB[/tex]
∠ABC is the sum of the angles ∠ABO and ∠CBO. Likewise, ∠ACB is the sum of the angles ∠ACO and ∠BCO. Hence:
[tex]\angle ABO+\angle CBO =\angle ACO+\angle BCO[/tex]
Since ∠ABO =∠ACO, by substitution:
[tex]\angle ABO+\angle CBO =\angle ABO+\angle BCO[/tex]
Subtracting ∠ABO from both sides produces:
[tex]\angle CBO=\angle BCO[/tex]
So, we've proven that the two angles are congruent, thereby proving that ΔBOC is indeed an isosceles triangle.
PLEASEEEEE HELP MEE will give brainliest
I'm not sure if it's correct...........
Could you please explain how you got your answer
Answer:
2) 44°Step-by-step explanation:
CA and CB are perpendicular to OA and OB, so the angles A and B are right angles.
Angles AOB and ACB sum to 180°
3x + 10 + 38 = 1803x = 180 - 483x = 132x = 132/3x = 44Correct option is 2) 44°
I have a square with a side of 5.25 in. There is a circle inside this square that is big enough to touch all four sides. What is the area that is not inside the circle?
Answer:
5.9125in^2
Step-by-step explanation:
Step one:
Given data
Dimension of square= 5.25 in
Area of sqaure= 5.25^2= 27.5625 in^2
We are told that the sides of the circle touch the sides of the square
hence the diameter of the circle is 5.25in
radius= 5.25/2= 2.625 in
Area of circle= πr^2
Area of circle = 3.142*2.625^2
Area of circle=3.142*6.890625
Area of circle= 21.65 in^2
Step two:
The area that is not inside the circle
=Area of square-Area of circle
=27.5625- 21.65
=5.9125in^2
Work out the following and give your answer in it's simplest form:
[tex]\frac{9}{10}[/tex] ÷ [tex]\frac{3}{5}[/tex]
Plz help!!
Answer:
[tex]\frac{9}{10}[/tex] ÷ [tex]\frac{3}{5}[/tex]
=3/5
=1.5