Given:
Triangle ABC is right angled at A.
[tex]m\angle B=(5x+7)^\circ[/tex]
[tex]m\angle C=(4x+29)^\circ[/tex]
To find:
The degree measure of each angle in the triangle.
Solution:
According to the given information,
[tex]m\angle A=90^\circ[/tex]
[tex]m\angle B=(5x+7)^\circ[/tex]
[tex]m\angle C=(4x+29)^\circ[/tex]
Now,
[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex] (Angle sum property)
[tex]90^\circ+(5x+7)^\circ+(4x+29)^\circ=180^\circ[/tex]
[tex](9x+126)^\circ=180^\circ[/tex]
[tex]9x+126=180[/tex]
[tex]9x=180-126[/tex]
[tex]9x=54[/tex]
Divide both sides by 9.
[tex]x=\dfrac{54}{9}[/tex]
[tex]x=6[/tex]
Now,
[tex]m\angle A=90^\circ[/tex]
[tex]m\angle B=(5(6)+7)^\circ[/tex]
[tex]m\angle B=37^\circ[/tex]
[tex]m\angle C=(4(6)+29)^\circ[/tex]
[tex]m\angle C=53^\circ[/tex]
Therefore, the measures of ∠A, ∠B, ∠C are 90°, 37°, 53° respectively.
Answer:
(6×-5)°× (×+9)°w(4×)°y
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.
Using ƒ(x) = 3x − 3 and g(x) = -x, find g(ƒ(x)).
Answer:
We conclude that:
g(f(x)) = -3x+3
Step-by-step explanation:
Given
f(x) = 3x-3g(x) = -xTo determine
g(f(x)) = ?In order to determine g(f(x)), first we need to substiute f(x) = 3x-3 in g(f(x)).
g(f(x)) = g(3x-3)
now substitute x = 3x-3 in g(x)
= -(3x-3)
= -3x+3
Therefore, we conclude that:
g(f(x)) = -3x+3
Help ill mark u brainliest
Answer:
We conclude that:
m∠XWY = 41°Step-by-step explanation:
Given
m∠VWX = 139°
m∠YWZ = 23°
To determine
m∠XWY = ?
We know the measure of the angle of a straight is 180°.
As m∠VWX and m∠XWY lie on a straight line.
Thus, the sum of m∠VWX and m∠XWY must be 180°
so we get the equation
m∠VWX + m∠XWY = 180°
Given that m∠VWX = 139°
so substituting m∠VWX = 139° in the equation m∠VWX + m∠XWY = 180°
139° + m∠XWY = 180°
m∠XWY = 180° - 139°
m∠XWY = 41°
Therefore, we conclude that:
m∠XWY = 41°another oneee thanks strangers
Answer:
*8
Step-by-step explanation:
6.75*8=54
Answer:
8
Step-by-step explanation:
..…..............…...
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
Julie made $29 washing cars. This is $11 less than twice the amount
Julie made. How much money did Julie make?
Answer:
uhhhh 19$
Step-by-step explanation:cuz
Answer:
$20
Step-by-step explanation:
29 + 11 = 40
40 ÷ 2 = 20
Extending answer to be able to send.
helpppppppppppp...plsss
Answer:
c=72
Step-by-step explanation:
8
=
9
8
⋅
8
=
8
⋅
9
Answer:
91
Step-by-step explanation:
For questions like these, you multiply the denominator times what it equals
Like in this case you do 8x9
I hope this helps!
someone help pls asap
Answer:
[tex](g - f)(x) = log(x-3)- \sqrt[3]{12x +1} + 2[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \sqrt[3]{12x +1} + 4[/tex]
[tex]g(x) = log(x-3)+6[/tex]
Required
Determine (g - f)(x)
In functions:
[tex](g - f)(x) = g(x) - f(x)[/tex]
So, we have:
[tex](g - f)(x) = log(x-3)+6 - (\sqrt[3]{12x +1} + 4)[/tex]
Open bracket
[tex](g - f)(x) = log(x-3)+6 - \sqrt[3]{12x +1} - 4[/tex]
Collect Like Terms
[tex](g - f)(x) = log(x-3)- \sqrt[3]{12x +1} - 4+6[/tex]
[tex](g - f)(x) = log(x-3)- \sqrt[3]{12x +1} + 2[/tex]
Answer:
[tex]→(g - f)(x) = g(x) - f(x) \\ → (log(x - 3) + 6) - (\sqrt[3]{12x + 1} + 4) \\→ log(x - 3) + 6 - \sqrt[3]{12x + 1} - 4 \\→\boxed{ log(x - 3) - \sqrt[3]{12x + 1} + 2}✓[/tex]
D. is the right answer.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
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Which fraction and decimal forms math the long division problem
Answer:
4/15 and 0.26
Step-by-step explanation:
Here, we want to write the fraction and decimal that matches the division problem
The division problem is simply 4/15 in fraction
In decimal, this is 0.2667
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:
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:
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
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 ↓
The length of a rectangle is 2 cm more than
3 times its width. Its area is 85 cm?. Find the
dimensions of the rectangle.
Answer:
Width of rectangle = 5 cm
Length of rectangle = 17 cm
Step-by-step explanation:
Let the dimensions of rectangle:
Width of rectangle = x
Length of rectangle = 3x+2
Area of rectangle = 85 cm
We need to find dimensions of rectangle i.e length and width.
The formula used is: [tex]Area\:of\:rectangle=Length\times Width[/tex]
Putting values and finding dimensions
[tex]Area\:of\:rectangle=Length\times Width\\85=3x+2 \times x\\85=3x^2+2x\\The\;equation\:will\:be:\\3x^2+2x-85=0[/tex]
Now, finding value of x using quadratic formula:
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have, a =3, b =2 and c=-85
[tex]x=\frac{-2\pm \sqrt{(2)^2-4(3)(-85)}}{2(3)}\\x=\frac{-2\pm \sqrt{4+1020}}{6}\\x=\frac{-2\pm \sqrt{1024}}{6}\\x=\frac{-2\pm 32}{6}\\x=\frac{-2+ 32}{6}\:or\:x=\frac{-2- 32}{6}\\x=5\:or\:x=-5.6[/tex]
So, we get x = 5 and x = -5.6
But since the width of rectangle cannot be negative so, we would consider x = 5
Now, the dimensions of rectangle will be:
Width of rectangle = x = 5 cm
Length of rectangle = 3x+2 = 3(5) + 2 = 15+2 = 17 cm
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]
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
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
HELP ASAP‼️‼️ The price for 4 pounds of ribs is $28
what is the unit rate?
Answer:
$7 per pound
Step-by-step explanation:
28/4
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
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?
LM is the diameter of OP. N L *not drawn to scale IfmXLMN = 48° what is mZNLM? A. 24° B. 42° C. 48° D. 66° E. 84
Answer: B
Step-by-step explanation:
If the other one is 48 then this one must be 42 i think
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
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
[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.
what is 3 1/8 x 2 3/5
Answer:
[tex]8\frac{1}{8}[/tex]
Step-by-step explanation:
[tex]3\frac{1}{8} \times 2 \frac{3}{5}[/tex]
[tex]=\frac{25}{8} \times \frac{13}{5}[/tex]
[tex]=\frac{25\times13}{8\times5}[/tex]
[tex]=\frac{325}{40}[/tex]
[tex]=\frac{325/5}{40/5}[/tex]
[tex]=\frac{65}{8}[/tex]
[tex]=8\frac{1}{8}[/tex]
Hope this helps :)
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
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.
pls answer asap pls pls
Answer:
A
Hindi po ako sigurado po ahhhh