Answer:
x= 9
Step-by-step explanation:
Please see the attached picture.
In △BCD
∠BDC= 180° -90° (adj. ∠s on a str. line)
∠BDC= 90°
Applying Pythagoras' Theorem,
(BD)² +(DC)²= (BC)²
(BC)²= 6² +4²
(BC)²= 52 -----(1)
In △ABD
Applying Pythagoras' Theorem,
(AD)² +(BD)²= (AB)²
(AB)²= x² +6²
(AB)²= x² +36 -----(2)
In △ABC
Applying Pythagoras' Theorem,
(AB)² +(BC)²= (AC)²
(AB)² +(BC)²= (x +4)²
Substitute (1) and (2):
x² +36 +52= (x +4)²
x² +88= x² +2(x)(4) +4² (simplify, expand)
x² +88= x² +8x +16
8x +16= 88 (-x² on both sides)
8x= 88 -16
8x= 72
x= 72 ÷8
x= 9
I need the answer please will mark brainliest
Answer:
Look below.
Step-by-step explanation:
For further reference I suggest looking at Khan academy videos of this.
A. log8 5/9
B. log9 4
C. log6 2^3
Rosa built a jewelry box. She first cut out all the pieces she would need by using the pattern shown below based on the pattern which phrase best describes the shape of the completed jewelry box
Answer: C
Step-by-step explanation: The sides looks longer and the looks shorter. Imagine an cube picture and picture this image in your head.
The measure of one base angle of an isosceles triangle is 35 degrees. What is the measure of the vertex angle?
Answer:
110 degrees
Step-by-step explanation:
The measures of the two base angles of an isosceles triangle are the same so 180 - 2(35) = 110 which is the vertex angle.
how do I resolve this?
Answer:
32
Step-by-step explanation:
20+2+4+6
pls mark brainliest
Find the product.
(-4·3·2)2
(- 4 * 3 * 2)*2 = - 48
y is inversely proportional to the square of x
a) express y in terms of x
Answer:
y proportional to 1/x^2
aading constant = k= 1
y=k/x^2
What should be added to both sides of the equation below to complete the square?
x?
+ 6x = -8
O-4
O-2
O-9
09
Answer:
Step-by-step explanation:
x² + 6x = 8
Coefficient of the x term: 6
Divide it in half: 3
Square it: 3²
Add 3² to both sides of the equation to complete the square and keep the equation balanced:
x² + 6x + 3² = 8 + 3²
(x+3)² = 17
A rectangle has an area of 270m2.
One of the sides is 3m in length.
Work out the perimeter of the rectangle.
Evaluate the following expression
6 - 2 x 1
Please help with my algebra II. sorry if writing is bad, I had to take a pic with my Chromebook so I just rewrote it with the pen feature.
Answer:
some
Step-by-step explanation:
4.) Show that sec 0 sin 0 cot 0= 1 is an identity
Answer:
1/sin(0)+sin(0)+cos0/sin0= 1
If triangle ABC is an equilateral triangle with sides of 12 ft , and points X,Y, and Z are the midpoints of each side , find the perimeter of triangle XYZ.
Answer:
I dont know the answer so I'm gonna give it my best sorry!
Step-by-step explanation:
I think that it is 36 ft.
frank bought am math pencil, he used 28% percent off with a QR code, he paid 108$ how much did he save
Step-by-step explanation:
28% =28\100
28\100×108=30.24
Segments AB,DC, and EC intersect at point C. Angle DCE measures 148. Find the value
Answer:
x = 16°
Step-by-step explanation:
We can see that AB is a straight line. The sum of angles on a straight line adds up to 180°
∠ACD + ∠DCE + ∠ECD = 180° (sum of angles on a straight line)
∠ACD = x, ∠DCE = 148, ∠ECD = x
substituting the respected values for the angles gives:
x + 148 + x = 180
2x + 148 = 180
subtracting 148 from both sides:
2x + 148 - 148 = 180 - 148
2x = 32
Dividing both sides by 2, to get x:
2x/2 = 32/2
x = 16°
Which sentence means Jack ate 2 ⁄ 4 of a pizza?
what are the sentences? but 2/4, could also be 1/2 or a half
The length of a field in feet is a function f(n) of the length n in yards. Write a function rule for this situation.
A.f(n) = 12n
B.f(n)=1/3n
C.f(n)=n/12
D.f(n) = 3n
Answer:
D.f(n) = 3n
Step-by-step explanation:
The function rule for this given situation is shown below;
Given that
The length of the field in feet would be f(n) of the length n in yards
Now as we know that
1 yard = 3 inches
So
f(n) = 3n
Hence, the option d is correct
Write a point-slope equation for the line that has slope 4 and passes through the point (11,7)
Answer:
y-7=4(x-11)
Step-by-step explanation:
y-y1=m(x-x1)
y-7=4(x-11)
yeah uh please help me if you can, this is due later today.
the point A (4,-1) is reflected over the x-axis
The diagram below.....
Answer:
what are the rest of the answer options I need to know that before I answer it
The ratio of salamanders to frogs is 6 to 7. If there are 9 salamanders, how many frogs are there?
Answer
10
Step-by-step explanation:
salamander:frog
6:7
start by setting up the ratios as fractions and using x as the variable.
[tex]\frac{6}{7}[/tex]=[tex]\frac{9}{x}[/tex]
next cross multiply.
6x=63
x=10 i believe
16^3x+8^x+6
Could you please give me the steps as well for this problem?
Answer:
x = 2
Step-by-step explanation:
[tex]16^{3x} = 8^{x+6} \\2^{4(3x)} = 2^{3(x+6)} -->[/tex] (16 = [tex]2^{4}[/tex] and 8 = [tex]2^{3}[/tex] )
[tex]2^{12x} = 2^{3x+18}[/tex]
Since the base number is 2, the exponents must equal each other.
So:
12x = 3x+18
9x = 18
x = 2
What is the greatest common factor of 9 and 3?
Answer:
3
Step-by-step explanation:
3x1= 3
3x3=9
please just find the measures of the segment plzzzzzzzz
Answer:
BE=19 AD=29
Step-by-step explanation:
Sam has twice as many as books as Jim. If Sam gives 12 books to Jim, they will have the same number of books. How many books do they have altogether?
Answer:
48
Step-by-step explanation:
Sam had 36 books
Jim had 12
after same gave Jim 12 books, they each had 24 books
Please help ASAP RN
1) You make $16.00 per hour at your job at the caterpillar factory. Your boss offers you time an
pay for working on holidays. During the week the 4th of July week, you worked 4 days at your
and one day at holiday pay. Assume you worked 8 hours each day. How much will your paych
week?
a) $88.00
b) $432.00
c) $536.00
d) $704.00
e) $896.00
Answer:
D
Step-by-step explanation:
Make u the subject of the relation.
1.wx+yz=uv-2wx
Answer:
Step-by-step explanation:
wx+yz=uv-2wx
uv = wx + yz + 2wx
u = ( wx + yz + 2wx ) / v
hope it helps :)
Please help me and please explain the answer:))
Answer:
3rd one
Step-by-step explanation:
what is the opposite of 1/2
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
HELP PLEASE IM BEGGING ITS SUPER SIMPLE