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creativ13 [48]
3 years ago
5

In square ABCD, AD is 4 centimeters, and M is the midpoint of

exFormula1" title="$\overline{CD}$" alt="$\overline{CD}$" align="absmiddle" class="latex-formula">. Let O be the intersection of $\overline{AC}$ and $\overline{BM}$. What is the ratio of OC to OA? Express your answer as a common fraction.

Mathematics
1 answer:
Ede4ka [16]3 years ago
4 0

The ratio of OC to OA is OC/ 10√2 - OC

<u>Explanation:</u>

Given -

AD = 4 cm

M is the midpoint of CD

Ratio of OC to OA = ?

In a square, all the interior angles are 90°

Therefore,

ΔADC, ΔABC and ΔBCM are right angled triangle

AC is the diagonal which divides ∠DAB and ∠DCB equally

If AD = 4 cm, then AB, BC and DC are also 4cm

In ΔADC,

(AC)² = (AD)² + (DC)²

(AC)² = (10)² + (10)²

AC = 10√2 cm

AC = OA + OC

OA = AC - OC

OC/OA = OC / AC - OC

OC / OA = OC / 10√2 - OC

Therefore, the ratio of OC to OA is OC/ 10√2 - OC

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Y_Kistochka [10]

Answer:

42

Step-by-step explanation:

because that's the answer

3 0
3 years ago
Wendy thinks the perfect chocolate chip cookie has 353535 chocolate chips for every 555 ounces of dough. Cookie Club makes batch
velikii [3]

Answer:

Wendy will think cookie club chocolate cookies are not chocolatey enough

Step-by-step explanation:

Wendy thinks the perfect chocolate chip cookie has 35 chocolate chips for every 5 ounces of dough. Cookie Club makes batches of chocolate chips cookies with 100 chocolate chips and 15 ounces of dough. What will Wendy think about Cookie Club's cookies?

Perfect chocolate chip cookie=35 chocolate chips for every 5 ounces of dough

Wendy's perfect chocolate chip cookies = 35 chocolate chips for every 5 ounces of dough

= 35 : 5

=7:1

Cookie club chocolate chips cookies=100 chocolate chips for every 15 ounces of dough

=100 : 15

=20 : 3

Cookie club chocolate cookies have 3 times the amount of dough

Therefore,

Wendy will think cookie club chocolate cookies are not chocolatey enough

5 0
4 years ago
An algebraic sentence that makes use of the "less than" or "greater than" symbols (&lt;, &gt;) is called an inequality.
inna [77]
This is a true statement because it proves both sides are not equal 

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4 years ago
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Angelina_Jolie [31]
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5 0
3 years ago
Find x inscribed angles
mina [271]
The easiest variable you can solve for first is "z". Knowing that opposite angles of a quadrilateral inscribed in a circle are supplementary, subtract 93 from 180 to get z.
Z should equal 87.
The next variable we can solve for is "x". We know that inscribed angles are half the measure of their intercepting arc, so we know 93 is half of (112 + x). The equation would look like this:

93= (112 + x)/2
Multiply both sides by 2
186 = 112 + x
Subtract 112 from both sides
74 = x

Now we can apply the same method we used to find "x" to find y. Set up an equation like this:
80 = (y + x)/2
Substitute the value of x in
80 = (y + 74)/2
Multiply both sides by 2
160 = y + 74
Subtract 74 from both sides
86 = y

Hope this helps!
5 0
3 years ago
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