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Charra [1.4K]
2 years ago
15

All organisms are made of cells. __________ Is it a fact,hypothesis,theory,or law

Mathematics
1 answer:
Damm [24]2 years ago
4 0

Answer:

fact

Step-by-step explanation:

.................

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In triangle ABC segment DE is parallel to the side AC . (The endpoints of segment DE lie on the sides AB and BC respectively). F
Sophie [7]

Answer:

The length of DE is 14 cm.

Step-by-step explanation:

Given in triangle ABC segment DE is parallel to the side AC . (The endpoints of segment DE lie on the sides AB and BC respectively). we have to find the length of DE.

Given lengths are AC=20cm, AB=17cm, and BD=11.9cm

In ΔBDE and ΔBAC

∠BDE=∠BAC       (∵Corresponding angles)

∠BED=∠BCA       (∵Corresponding angles)

By AA similarity rule, ΔBDE~ΔBAC

∴their corresponding sides are in proportion

⇒ \frac{BE}{BC}=\frac{BD}{BA}=\frac{DE}{AC}

⇒ \frac{BD}{BA}=\frac{DE}{AC}

⇒ \frac{11.9}{17}=\frac{DE}{20}

⇒ DE=\frac{20\times 11.9}{17}=14cm

5 0
2 years ago
parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm. point F is on RS exactly 5 cm from S. let T be the intersection of PF
Doss [256]

<u>Solution-</u>

Given that,

In the parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm.

Then considering ΔPQT and ΔSTF,

1-    ∠FTS ≅ ∠PTQ            ( ∵ These two are vertical angles)

2-   ∠TFS ≅ ∠TPQ            ( ∵ These two are alternate interior angles)

3-   ∠TSF ≅ ∠TQP            ( ∵ These two are also alternate interior angles)

<em>If the corresponding angles of two triangles are congruent, then they are said to be similar and the corresponding sides are in proportion.</em>

∴ ΔFTS ∼ ΔPTQ, so corresponding side lengths are in proportion.

\Rightarrow \frac{PQ}{FS} =\frac{TQ}{TS} =\frac{TP}{TF}

As QS = TQ + TS = 10 (given)

If TS is x, then TQ will be 10-x. Then putting these values in the equation

\Rightarrow \frac{PQ}{FS} =\frac{TQ}{TS}

\Rightarrow \frac{8}{5} =\frac{10-x}{x}

\Rightarrow x=3.85

∴ So TS = 3.85 cm and TQ is 10-3.85 = 6.15 cm




5 0
3 years ago
Barb had $112 in her savings account. Then deposited the same amount of money into her savings account in the next 4 months. Now
Kay [80]
• Subtract first: 333 - 112 = 221

• Divide second: 221 ÷ 4(months) = 55.25

• Equation: (333 - 112) ÷ 4

Barb deposited $55.25 each month. 

Hope this helps! :D

~PutarPotato
7 0
3 years ago
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Deon's gas tank is 3/10
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Hi ANSWER. I’m am not good an English translation these真很凱越眼鍋鉤菇的菇農親還歲光銷爸匕已 鬆啊卜
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What is the radian measure of 210 angle 
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The answer is 3.66519.
8 0
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