Instructions: Problem 1 ! Find the missing angle in the image below. Do not include spaces in your answers

Answer:

x = 3

Step-by-step explanation:

Hi there!

1) Prove similarity

The two triangles are similar due to angle-angle similarity. They both have an angle measured 90 degrees and the angles of the two corners that touch are equal, because opposite angles are equal.

2) Solve for x

Now, we can set up a proportion to solve for x:

[tex]\frac{x}{4} =\frac{4.5}{6} \\x=\frac{4.5}{6} *4\\x=3[/tex]

Therefore, x is 3 units long.

I hope this helps!

Answer:

16

Step-by-step explanation:

[tex](-64)^2/3[/tex]

64 = [tex]2^{6}[/tex]

[tex]2^{6} ^{\frac{1}{3} } ^{2}[/tex]

[tex]2^{ 2^{2} }[/tex]

[tex]2^{4}[/tex]

16

Answer:

Step-by-step explanation:

Combine like terms

[tex]2a + \frac{5b}{4}+3a + \frac{2b}{8}=2a + 3a +\frac{5b}{4}+\frac{2b}{8}\\\\ = 2a + 3a + \frac{5b}{4}+\frac{b}{4}\\\\= 5a + \frac{5b+b}{4}\\\\= 5a +\frac{6b}{4}\\\\= 5a + \frac{3b}{2}[/tex]

Answer:

[tex]2a+5\frac{b}{4}+3a+2\frac{b}{8}[/tex]

First multiply by 8

[tex]2\cdot8a+5\cdot8\cdot\frac{b}{4}+3\cdot8\cdot a+2\frac{b}{8}\cdot8[/tex]

We multiple and divide where we can

[tex]16a+10b+24a+2b[/tex]

And now it's simple

30a+12b

If 1 pint is equal to 2 cups then 5 pints equals 10 cups

5 times 2 equals 10.

Answer:

the above answer help you guy.

Answer:

She's, "HOT"!

Step-by-step explanation:

Answer:

The total amount of celery and onion needed for the soup is 7/10 cup.

Step-by-step explanation:

2/4 + 1/5 = 7/10 cup.

hope it helped :)

mark me brainliest!

Answer: 60%

1000÷2=500

Clive: 500-100= 400

Gillian: 500+100= 600 (Because Gillian has 100 more votes than Clive)

[tex] \frac{600}{1000} \times 100\% = 60\%[/tex]

If Gillian received 100 more votes than Clive, Gillian received 55% of the 1,000 votes.

To determine the percentage of votes for Gillian out of the total 1,000 votes, we need to calculate the proportion of votes that Gillian received.

Given that Gillian received 100 more votes than Clive, we can set up the equation:

Votes for Gillian = Votes for Clive + 100

Let's denote the number of votes for Clive as C. Therefore, the number of votes for Gillian is C + 100.

The total number of votes is 1,000, so we have the equation:

C + (C + 100) = 1,000

Simplifying, we find:

2C + 100 = 1,000

2C = 900

C = 450

Therefore, Clive received 450 votes and Gillian received 450 + 100 = 550 votes.

To calculate the percentage of votes for Gillian, we divide her votes by the total votes and multiply by 100:

(550 / 1,000) * 100 = 55%

To learn more about percentage click on,

https://brainly.com/question/13228217

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Answer:

-228

Step-by-step explanation:

Answer:

Area= [tex]154m^{2}[/tex]

Step-by-step explanation:

A= [tex]\frac{a+b}{2} h=\frac{12+16}{2} (11)=154[/tex]

The slope intercept form of the line is ,

> y = mx + c

where ,

Example :-

> y = 2x + 5

Answer:

x=2

Step-by-step explanation:

Answer:

range

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

5*4*3*2*1

Hello,

[tex]z=\dfrac{X-69}{3.5} \\\\For\ X=72.5, \\\\z=\dfrac{72.5-69}{3.5} =1\\[/tex]

Using table of a normal reduced law:

p(z≤1)=0.8413

Thus p(z≥1)=1-0.8413=0.1587

There are 80*0.1587=12.696 ≈13 (frogs)

Answer:

12 frogs

Step-by-step explanation:

Hello,

Using table of a normal reduced law:

p(z≤1)=0.8413

Thus p(z≥1)=1-0.8413=0.1587

There are 80*0.1587=12.696 ≈12 (frogs) you don't round up because you cant have .7 percent of a frog.

ps. I copy and pasted caylus's response but corrected their answer because it was correct except the rounding up part.

Answer: the answer is 8p>38

Step-by-step explanation:

just took test

Answer:

Area=7850 cm

Step-by-step explanation:

Since the formula for area is A=c(radius squared), we need to plug in the radius first. 50x50=2500. We can identify 'pi' as 3.14 and use that decimal instead of a longer one. The product of 2500 and 3.14 is 7850. Therefore, your answer is 7850 cm

Step-by-step explanation:

here's the answer to your question

Answer:

B. b = 3a + 2

Step-by-step explanation:

We can write the equation in slope-intercept form as b = ma + c, where,

m = slope/rate of change

c = y-intercept/initial value

✔️Find m using any two given pair of values, say (2, 8) and (4, 14):

Rate of change (m) = change in b/change in a

m = (14 - 8)/(4 - 2)

m = 6/2

m = 3

✔️Find c by substituting (a, b) = (2, 8) and m = 3 into b = ma + c. Thus:

8 = 3(2) + c

8 = 6 + c

8 - 6 = c

2 = c

c = 2

✔️Write the equation by substituting m = 3 and c = 2 into b = ma + c. Thus:

b = 3a + 2

Answer:

x = -72

Step-by-step explanation:

-72 + 8 = -64

The third square root of -64 is -4

Answer:

the side XY

Step-by-step explanation:

we know 2 angles in a triangle. but are 45 degrees.

that means the third angle Z is 180-45-45 = 90 degrees.

the side opposite of the largest angle is the longest side.

opposite of Z is the side XY.

Answer:

70.686 [tex]m^{2}[/tex]

Step-by-step explanation:

A=2πrh (area of cylinder without top or bottom)

A = 2[tex]\pi[/tex](2.5)(9)

A = 141.372

divide by two for half of pipe.

A = 70.686

Answer:

2a+15 = 125(being alternate angle)

or,2a = 125-15

or,2a = 110

or,a = 110÷2

,a = 55

again,2a+15+b+30=180(Being co-interior angle)

or,2×55+15+b+30=180

or,110+15+30+b=180

or,155+b=180

or,b=180-155

Therfore,b=25

Answer:

a is correct option......

Answer:

Hence, the required answers are (i) r= -s/(2nm-1) and r=g.

Step-by-step explanation:

solution: m= r-s/2nr

i) m= r-s/2nr  2)  m(2nr) = r-s (i) s=117 ,m=2, n=-3

2) 2xnxmxr= r-s        2) r= -s/(2nm-1)

3) move the "r" on the right to the 2)   r=  -117/(2x(-3)x2)-16

-2nrm-r= -s

- r(r-2nm-1)= -s                     2)  r= (-117/-13)=)r=g

- r= -s/(2nm-1)

Hence, the required answers are (i) r= -s/(2nm-1) and r=g.

Answer:

[tex]f(x)=-2x(x+4)[/tex]

Step-by-step explanation:

We want to find the equation of a quadratic function in factored form with zeros at x = -4 and x = 0 that passes through the point (-3, 6).

The factored form of a quadratic is given by:

[tex]f(x)=a(x-p)(x-q)[/tex]

Where p and q are the zeros and a is the leading coefficient.

Since we have zeros at x = -4 and x = 0, let p = -4 and q = 0. Substitute:

[tex]f(x)=a(x-(-4))(x-0)[/tex]

Simplify:

[tex]f(x)=ax(x+4)[/tex]

And since we know that the function passes through the point (-3, 6), f(x) = 6 when x = -3. Thus:

[tex](6)=a(-3)(-3+4)[/tex]

Simplify:

[tex]6=a(-3)(1)[/tex]

Thus:

[tex]-3a=6\Rightarrow a=-2[/tex]

So, our quadratic function is:

[tex]f(x)=-2x(x+4)[/tex]

Answer:

(2,-2)

Step-by-step explanation:

Its just (-7+9 , 1-3)

Answer:

P' = (2,-2)

Step-by-step explanation:

P = (-7,1)

T(x,y) = (x + 9, y - 3)

(-7 + 9,1 - 3) = (2,-2)