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3 years ago

Jack has 20 more stamps than Dylan has. Together they have 46 stamps. Find the number of stamps each has.

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

7 0

Answer: Jack has 33 and Dylan has 13

Explanation: 33 + 13 = 46 and 13 + <em>20 </em>= 33

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Find the measurement of the arc

Lapatulllka [165]

Answer:

146°

Step-by-step explanation:

the measure of an arc that sees the core of the circle is equal to the angle its sees.

6 0

3 years ago

Pls help I'm sleep deprived rn and am almost done with this

Mkey [24]

Answer:

6π units

Step-by-step explanation:

Given::

Radius = 4

Angle measure of partial circle (θ) = 360° - right angle = 360° - 90° = 270°

Arc length = θ/360 × 2πr

Plug in the values

= 270/360 × 2 × π × 4

= 0.75 × 8 × π

= 6π units

8 0

3 years ago

In triangle ΔABC, ∠C is a right angle and CD is the height to

Zina [86]

Answer:

$m\angle CDB=90\\m\angle CBD=90-\alpha\\m\angle BCD=\alpha\\\\m\angle CDA=90\\m\angle CAD=\alpha\\m\angle ACD=90-\alpha$

Step-by-step explanation:

The triangles are drawn below.

CD is perpendicular to AB as CD is height to AB.

Therefore, angles $m\angle CDB=m\angle CDA=90$ °

So, triangles ΔCBD and ΔCAD are right angled triangles.

Now, from the right angled triangle ΔABC,

$m\angle A+m\angle B =90\\\alpha+m\angle B=90\\m\angle B=90-\alpha$

From ΔCBD,

$m\angle CBD$ is same as $m\angle B$ .

So, $m\angle CBD=90-\alpha$

$m\angle BCD+m\angle BDC =90\\m\angle BCD+90-\alpha=90\\m\angle BCD=\alpha$

Now, from ΔCAD,

$m\angle CAD$ is same as $m\angle A$

So, $m\angle CAD=\alpha$

$m\angle CAD+m\angle ACD =90\\\alpha+m\angle ACD=90\\m\angle ACD=90-\alpha$

Hence, the unknown angles of both the triangles are:

$m\angle CDB=90\\m\angle CBD=90-\alpha\\m\angle BCD=\alpha\\\\m\angle CDA=90\\m\angle CAD=\alpha\\m\angle ACD=90-\alpha$

5 0

3 years ago

Suppose the band sells erasers for $2 per package and pencils for $5 per package. The band sells 220 packages in all and earns a

garik1379 [7]

Let e=erasers and p=pencils. So we know the total amount of erasers plus pencils sold is equal to 220. Therefore,

$e + p = 220$
We also know the cost of erasers and pencils totaled to $695 in earnings and so:

$2e + 5p = 695$
and so those are your two equations.

5 0

3 years ago

A rigjt triangle with two congruent legs is always 45-45-90

bekas [8.4K]

Answer:

right angel triangle means one of the three angel is 90

also it is given that two sides are equal

there for it is an isoselas triangle means other two triangles are equal

let the other two angels be x then

then 90 + x + x = 180

2x = 180 - 90

x = 90 ÷2

× = 45

prof. 90 + 45 + 45 = 180

Step-by-step explanation:

hope it helped u buddy

8 0

3 years ago